TÀI LIỆU KỸ THUẬT SẤY - FREEZE DRYING (Nguyễn Tấn Dũng - Trường Đại học Sư phạm Kỹ thuật TP.HCM)
This drying technique is not only applied for food technology but is also widely used in other fields such as in pharmaceutical industry to preserve biological substances; in biotechnology to long-term store cells, genes and biological materials; or in cosmetic industry to preserve chemical ingredients without using any preservatives.
This book aims to provide the principles and techniques of modern freeze drying technology. It can be used as an excellent reference for teaching and researching activities in Ho Chi Minh City University of Technology and Education, as well as in other interdisciplinary academic institutes.
This book consists of five chapters including Chapter 1. Overview of Freeze drying; Chapter 2. The physical thermal properties of the moist material affecting the freeze drying process; Chapter 3. Modeling freeze drying process; Chapter 4. Methods for establishing modes of freeze drying technology, and Chapter 5. Calculation, design and manufacture of freeze
drying systems. It can be considered as a beneficial reference book for not only food engineers but also students from chemical, material or biological aspects who demand a comprehensive understanding of freeze drying.
As the first book about freeze drying published in Vietnam, the authors hope to provide a comprehensive study of freeze drying technique to the readers to promote the applications of freeze drying in research as well as in industry. Also, we would like to give all of our respect and gratefulness to colleagues in Ho Chi Minh City University of Technology and Education,
who strongly motivate us to write this book.
Due to the massive knowledge presented in this book, mistakes during the compilation are inevitable. We do hope to receive valuable feedback from readers to refine this book in following editions.
Your feedbacks could be sent to the corresponding author’s email:
tandzung072@hcmute.edu.vn.
Assoc. Prof. Dr. Nguyen Tan Dzung
CONTENTS:
PREFACE
Chapter 1: OVERVIEW OF FREEZE DRYING ..............................19
1.1. Scientific basis for the freeze drying process ...............................19
1.1.1. Definition ...............................................................................19
1.1.2. The phase transition process of water ....................................20
1.1.3. Stages of freeze drying process .............................................23
1.1.3.1. Freezing stage ...........................................................23
1.1.3.2. Freeze drying (Primary drying) ...............................26
1.1.3.3. Low-temperature vacuum drying (Secondary
drying) ....................................................................................28
1.1.4. Nature of the drying process ..................................................28
1.1.5. Equation of the phase transition of water during drying ............28
1.1.6. Sublimation mechanism of frozen ice in moist materials ............29
1.1.6.1. Ice sublimation .........................................................29
1.1.6.2. Crystalline ice in moisturous materials .....................30
1.2. Applying the freeze drying technology .........................................30
1.2.1. Application in pharmaceutical products ................................31
1.2.1.1. Injectable products ....................................................31
1.2.1.2. Oral drugs..................................................................32
1.2.2. Application in food technology ..............................................33
1.2.2.1. Animal-based products..............................................34
1.2.2.2. Plant-based products .................................................36
1.2.2.3. Application in post-harvest technology ....................38
1.2.3. Application in microbiology and enzyme technology ...........40
1.2.3.1. Microbiology.............................................................40
1.2.3.2. Enzyme technology ...................................................41
1.2.4. Application in biotechnology .................................................43
1.2.5. Application in material technology ........................................44
1.2.5.1. Ceramics ...................................................................45
1.2.5.2. Aerogels ....................................................................46
6
1.2.5.3. Other materials ..........................................................46
1.2.6. Application in other technology .............................................46
1.3. The freeze drying equipment system ............................................48
1.3.1. Principle diagram of freeze drying system ............................48
1.3.2. The sublimation chamber .......................................................51
1.3.3. The refrigeration system ........................................................54
1.3.4. The vacuum system................................................................56
1.3.4.1. The condensation-freezing equipment ......................56
1.3.4.2. Vacuum pump ...........................................................58
1.3.5. The automatic control of the freeze drying system ...............62
1.3.5.1. Structure of automatic measurement and control
system ....................................................................................64
1.3.5.2. Automatic control and measurement using computer ..........65
1.3.5.3. Automation of sublimation drying system ................66
1.4. Freeze drying systems used in production ...................................68
1.4.1. Sublimation drying system with separate freezing stage .........68
1.4.2. Sublimation drying system with freezing stage right in
the drying chamber ..........................................................................70
1.4.3. Continuous freeze drying .......................................................74
1.5. Development of freeze drying .......................................................75
1.5.1. International development .....................................................75
1.5.1.1. Freeze drying system from Germany ........................76
1.5.1.2. Freeze drying from the USA .....................................76
1.5.1.3. Freeze drying from Japan ..........................................77
1.5.1.4. Freeze drying from France ........................................78
1.5.1.5. Freeze drying from England .....................................80
1.5.1.6. Freeze drying from New Zealand .............................81
1.5.1.7. Freeze drying from China .........................................82
1.5.2. Local market – Vietnam ........................................................83
1.5.2.1. Freeze dryers DS-1 and DS-2 ...................................84
1.5.2.2. Freeze dryer DS-3 .....................................................84
1.5.2.3. Freeze dryer DS-4 .....................................................86
7
1.5.2.4. Freeze dryer DS-5 .....................................................87
1.5.2.5. Freeze dryer DS-6 .....................................................88
1.5.2.6. Freeze dryer DS-7 .....................................................90
1.5.2.7. Freeze dryer DS-8 .....................................................91
1.5.2.8. Freeze dryer DS-9 .....................................................93
1.5.2.9. Freeze dryer DS-10 ..................................................95
1.5.2.10. Freeze dryer DS-11 ................................................96
1.6. Products from the application of freeze drying in Vietnam .........97
1.6.1. Freeze drying of Penaeus monodon (tiger shrimp) and
Durian ..............................................................................................97
1.6.2. Freeze drying of royal jelly ....................................................98
1.6.3. Freeze drying of oranges, bananas, apples, and carrots .........99
1.6.4. Freeze drying of okra and Gac fruit .....................................100
1.6.5. Freeze drying of squid ........................................................100
1.6.6. Freeze drying of Cordyceps mushroom ...............................101
1.6.7. Freeze drying of dragon fruit and durian .............................101
1.6.8. Freeze drying of avocado and others ...................................102
REFERENCES ....................................................................................104
Chapter 2: THE PHYSICAL THERMAL PROPERTIES OF
THE MOIST MATERIAL AFFECTING THE FREEZE
DRYING PROCESS ...........................................................................113
2.1. Inorganic and organic materials .................................................113
2.2. Absolutely dried and moist materials .........................................114
2.2.1. Absolutely dried materials ...................................................114
2.2.2. Moist materials ....................................................................114
2.3. The properties of water in materials ..........................................115
2.3.1. The important physical thermal properties of water ............115
2.3.2. The water bond in moist materials .......................................118
2.3.3. The crystallization temperature in moist materials ..............119
2.3.4. Adsorption and capillary characteristics ..............................119
2.4. Material classification ..................................................................122
8
2.5. Types of linking bond and the moisture linking bond energy
in moist materials .................................................................................123
2.5.1. The adsorbent bonds ............................................................123
2.5.2. The capillary bonds ..............................................................125
2.5.3. The osmosis bonds ...............................................................126
2.6. Chemical compositions of materials ...........................................127
2.6.1. Water ....................................................................................127
2.6.2. Protein and free amino acids ................................................128
2.6.3. Carbohydrate ........................................................................129
2.6.4. Lipids and free fatty acids ....................................................130
2.6.5. Minerals ...............................................................................131
2.6.6. Vitamins ...............................................................................131
2.6.7. Other macro elements ..........................................................131
2.6.8. Other micro elements ...........................................................131
2.7. The advantages of biological materials ......................................132
2.8. The important physical thermal properties of biological
materials affecting the freezing and freeze drying process ...............132
2.8.1. Viscosity and the relationship between viscosity and
quality of biological materials .......................................................132
2.8.2. Specific heat of biological materials ....................................133
2.8.3. Density of biological materials ............................................136
2.8.4. Thermal conductivity of biological materials ......................139
2.8.5. The thermal diffusivity coefficient of biological materials ........142
2.8.6. The moisture diffusion coefficient of biological materials ........143
2.8.6.1. The moisture diffusion coefficient ..........................143
2.8.6.2. Mathematical model to determine the moisture
diffusion coefficient .............................................................145
REFERENCES ....................................................................................148
Chapter 3: MODELING FREEZE DRYING PROCESS ...............155
3.1. Introduction ..................................................................................155
3.1.1. Pretreatment ........................................................................157
9
3.1.2. Freezing ..............................................................................158
3.1.3. Primary drying ....................................................................161
3.1.4. Secondary drying ................................................................163
3.1.5. Why must we model the freeze drying process? .................165
3.2. Modeling of freezing process ......................................................165
3.2.1. General concepts .................................................................165
3.2.2. The freezing and thawing process of product .....................167
3.2.2.1. The freezing process of product .............................167
3.2.2.2. The thawing process of freezing product ................170
3.2.3. Mathematical models of the freezing process ......................170
3.2.4. The essential physical thermal parameters to calculate
the rate of freezing water inside the product of the freezing
process ...........................................................................................174
3.2.4.1. Latent heat of freezing of water ..............................174
3.2.4.2. Specific heat of product ..........................................174
3.2.4.3. The rate of freezing water inside freezing product ........175
3.2.5. Building the method to determine the rate of freezing
water inside the product of the freezing process ............................176
3.2.5.1. General concepts .....................................................176
3.2.5.2. The equipment to determine the rate of freezing
water inside freezing products ............................................177
3.2.5.3. The equipment to freeze the product sample .........178
3.2.5.4. Building the method to determine the rate of
freezing water of freezing products .....................................179
3.2.6. Building modeling the freezing process to determine
the rate of freezing water inside the product ..................................187
3.2.6.1. Assumptions for the building of the mathematical model ............................................................................187
3.2.6.2. Building and solving the mathematical model
of the freezing process .........................................................188
3.2.7. Thermodynamics of the freezing process ............................193
3.2.7.1. General concepts .....................................................193
10
3.2.7.2. Freezing time estimation methods ..........................194
3.2.8. Changes in product properties during freezing ....................195
3.2.8.1. The crystallization of moisture in the product ........195
3.2.8.2. The relationship between the rate of water freezing and freezing temperature .............................................197
3.2.8.3. Changes in product quality when freezing ............197
3.2.9. Technological factors affecting the freezing process of
products used for freeze drying ......................................................198
3.2.9.1. Ambient temperature of the freezing process .........199
3.2.9.2. Time of freezing process .........................................199
3.2.9.3. Thickness of the product layer ................................200
3.3. Modeling of freeze drying process .............................................200
3.3.1. Mathematical models describing the freeze drying process ......200
3.3.1.1. The moisture diffusion model during freeze drying .......200
3.3.1.2. Models of heat and mass transfer during freeze
drying ...................................................................................202
3.3.2. Building a mathematical model to describe the kinetics
of the freeze drying process ...........................................................203
3.3.2.1. The drying material has a flat sheet shape ..............203
3.3.2.2. The drying material has a cylindrical shape ...........209
3.3.2.3. The drying material has a spherical shape ..............217
3.3.3. Changing of product’s characteristics in freeze drying
process ............................................................................................224
3.3.3.1. Moisture content of the product ..............................224
3.3.3.2. Loss of quality components of the product ...........225
3.3.3.3. The loss of rare biological active ingredients
of the product ......................................................................226
3.3.3.4. Loss of vitamins of the product .............................226
3.3.3.5. Reconstitution of the product ................................227
3.3.3.6. Energy cost of the product .....................................228
3.3.4. Technological factors affecting the freeze drying process .......229
3.3.4.1. Temperature of freeze drying environment ............230
11
3.3.4.2. Pressure of freeze drying environment ...................230
3.3.4.3. Time of freeze drying process ................................231
3.4. Optimization problem in freeze drying technology ..................232
3.4.1. Optimization problem of freezing process for use in
freeze drying .................................................................................232
3.4.2. Optimization problem of freeze drying process ..................233
3.4.3. Optimal plans for freeze drying technology ........................234
3.4.3.1. Basic concepts ........................................................236
3.4.3.2. The utopian plan and the utopian effect .................237
3.4.3.3. Multi-objective optimization by the utopian
point method with S(Z) optimal combination criterion .......239
3.4.3.4. Optimizing the multi-objective functions by the
restricted area method with R(Z) optimal combination
criterion ................................................................................240
3.4.4. Experimental statistical method used in freeze drying ........242
3.5. Superior characteristics of freeze drying products ...................245
REFERENCES ....................................................................................248
Chapter 4: METHODS FOR ESTABLISHING MODES OF
FREEZE DRYING TECHNOLOGY ...............................................259
4.1. Some basic concepts .....................................................................259
4.1.1. Modes of freeze drying technology ....................................259
4.1.2. General method for determining the modes of freeze
drying technology ..........................................................................259
4.2. Determination of the chemical composition and viscosity of
royal jelly .............................................................................................261
4.2.1. Royal jelly ............................................................................261
4.2.2. Determination of chemical composition ..............................262
4.2.2.1. Water .......................................................................263
4.2.2.2. Protein .....................................................................263
4.2.2.3. Glucid .....................................................................265
4.2.2.4. Lipid .......................................................................265
12
4.2.2.5. Minerals ..................................................................266
4.2.2.6. Vitamin ...................................................................266
4.2.2.7. Wax .........................................................................267
4.2.3. Functions of royal jelly for humans .....................................268
4.2.3.1. Nutritional value .....................................................268
4.2.3.2. Pharmaceutical value ..............................................268
4.2.3.3. Cosmetic value .......................................................271
4.2.4. Determination of the viscosity of royal jelly .......................271
4.3. Modeling and optimizing, establishing the mode of technology
for freezing stage for freeze drying.......................................................271
4.3.1. Establishing a mathematical model to determine the
appropriate ratio of frozen water and freezing temperature for
frozen royal jelly ............................................................................273
4.3.1.1. Establishing a mathematical model to determine
the appropriate ratio of frozen water ...................................273
4.3.1.2. Determination of the suitable freezing temperature of royal jelly ..............................................................281
4.3.2. Modeling and optimizing for determining freezing
technology mode of royal jelly used for freeze drying ..................284
4.3.2.1. Establishing and solving an optimization problem
describing the freezing process of royal jelly used for
freeze drying ........................................................................284
4.3.2.2. Determining the mode of freezing technology
of royal jelly in stage 1 for freeze drying ............................295
4.3.2.3. Conclusion ..............................................................296
4.4. Modeling and optimizing to determine appropriate technological parameters of freeze drying process of royal jelly ....................297
4.4.1. Determination of the pressure of the freeze drying medium ........298
4.4.2. Establishment of component objective functions of
multi-objective optimizing problem ..............................................299
4.4.3. Establishment of single-objective optimization problem
describing the process of royal jelly freeze drying .......................305
13
4.4.4. Establishment of multi-objective optimization problem
describing the process of royal jelly freeze drying ........................305
4.4.5. Solving the single-objective optimization problems
describing the process of royal jelly freeze drying ........................306
4.4.6. Solving the multi-objective optimization problem of
royal jelly freeze drying by the restricted area method ..................308
4.4.7. Experimental verification of optimal Pareto roots and
optimal Pareto efficiency of royal jelly freeze drying process ......313
4.4.8. Simulation of experimental mathematical models on 3D
and 2D graphs ................................................................................314
4.5. Determination of physicothermal parameters, description
of kinetics and establishment of the mode of freeze drying technology for royal jelly ............................................................................325
4.5.1. Description of the kinematics of royal jelly freeze drying
process ...........................................................................................325
4.5.1.1. Mathematical model describing the kinematics
of royal jelly freeze drying process .....................................325
4.5.1.2. Determination of physicothermal parameters
royal jelly .............................................................................325
4.5.1.3. Finding the roots of the typical equation ................329
4.5.1.4. Identification of the coefficients of mathematical
models (4.33) .......................................................................330
4.5.1.5. Kinetic description of royal jelly freeze drying
process and compatibility assessment of mathematical
models (4.33) .......................................................................336
4.5.1.6. Thermodynamic graph of royal jelly freeze
drying using the optimal mode ............................................343
4.5.2. Setting the technological mode of freeze drying for
royal jelly .......................................................................................344
4.5.3. Determination of the preservation mode for freeze-dried
royal jelly product and establishment of the technological
procedure ........................................................................................346
14
4.5.3.1. Determination of the preservation mode for
freeze dried royal jelly product ............................................346
4.5.3.2. Establishment of technological procedure for
freeze drying of royal jelly ..................................................350
4.5.3.3. Prospects of applying freeze drying technology
in food processing and preservation in Vietnam..................352
REFERENCES ....................................................................................354
Chapter 5: CALCULATION, DESIGN, AND MANUFACTURE
OF FREEZE DRYING SYSTEMS ...................................................373
5.1. General methods ..........................................................................373
5.1.1. Calculation for the cooling system ......................................373
5.1.1.1. The initially required parameters ............................373
5.1.1.2. Steps for calculating and designing a cooling
system ..................................................................................374
5.1.2. Calculation and design for a freeze drying system ..............374
5.1.2.1. Calculating heat for the sublimation chamber ........374
5.1.2.2. Calculating and designing for the condenser ..........375
5.1.2.3. Calculating for the vacuum system ........................375
5.2. Calculation and design for a self-freeze drying system ............376
5.2.1. Calculating and designing a freezing system integrated
into the sublimation chamber of the freeze drying system ............376
5.2.1.1. Calculating the freezing chamber or sublimation
chamber ..............................................................................376
5.2.1.2. Calculating the cooling load (or capacity) for
the product freezing process before the lyophilization
process .................................................................................380
5.2.1.3. Calculating the cooling load (or capacity) for a
refrigeration process to condensate – freeze moisture
sublimating from dried products ..........................................396
5.2.1.4. Building up the operating principle diagram for
the cooling system in a freeze drying system ......................403
15
5.2.1.5. Calculating and choosing a compressor with the
suitable cooling capacity .....................................................404
5.2.1.6. The total electrical motor power ............................409
5.2.2. Calculation and design of heat exchangers of the product
refrigeration system .......................................................................409
5.2.2.1. Calculation and design of the condenser ................409
5.2.2.2. Calculation and design of an evaporator ................419
5.2.2.3. Calculation and design of a receiver .......................424
5.2.2.4. Calculation of a throttle valve ................................430
5.2.2.5. Calculation of pipes ................................................431
5.2.3. Freeze drying system design calculation .............................433
5.2.3.1. Calculation of freeze drying chamber design .........433
5.2.3.2. Calculation of the ice condenser .............................439
5.2.4. Calculation of the vacuum pump system .............................443
5.2.4.1. Flow capacity of a vacuum pump ...........................443
5.2.4.2. Vacuum pump capacity ...........................................444
5.2.5. Determining the defrost time ...............................................445
5.2.6. Durable testing ability for the freeze drying chamber
and the ice condenser ....................................................................447
5.2.6.1. Stability for the drying process ...............................447
5.2.6.2. Checking the thickness of the freeze drying
chamber and the ice condenser ...........................................450
5.3. Calculation, design of low-temperature vacuum drying system
with heat pump and moisture condensation type ................................451
5.3.1. Required input parameters for calculation, design and
manufacturing ................................................................................451
5.3.1.1. Problem ............................................................................451
5.3.1.2. Requirements of the problem ............................................451
5.3.2. Calculating the size of the drying chamber ..........................455
5.3.2.1. Choosing the design of the drying chamber ...........455
5.3.2.2. Determining the size of the drying chamber ..........455
5.3.2.3. Heat plates ..............................................................458
16
5.3.2.4. Calculating and testing equipment structure
durability ..............................................................................459
5.3.3. Heat calculation for the drying system ................................462
5.3.3.1. Determining the temperature and pressure of
the drying environment ........................................................462
5.3.3.2. Determining the size of the dehumidifier (or
condensation - freezing) ......................................................462
5.3.3.3. Determining the moisture capacity of an ice
condenser evaporated from the drying product ...................464
5.3.3.4. Determining the heating capacity of heat plates .......466
5.3.3.5. Calculating the cooling cycle working for the
refrigeration - heat pump system of the dryer .....................469
5.3.3.6. Determination of the heat transfer surface size
of the freezing condenser .....................................................474
5.3.3.7. Calculation of heat load for refrigeration-heat
pump system ........................................................................475
5.3.3.8. Calculation of capacity of refrigeration compressor for refrigeration-heat pump system .........................476
5.3.3.9. Calculation of the condenser’s cooling capacity
in the refrigeration system and the heat supply capacity
for heat plates inside the vacuum drying chamber in the
drying system .......................................................................478
5.3.3.10. Calculation and design of the internal condenser
(the outdoor unit 1) ..............................................................480
5.3.3.11. Calculation for choosing an external condenser
(the outdoor unit 2) ..............................................................482
5.3.3.12. Heating efficiency of side burner .........................482
5.3.3.13. Calculation of the vacuum pump ..........................483
5.3.3.14. Calculation of heat for the pasteurization process .......484
5.3.3.15. Comparison of low-temperature vacuum drying
system, heat pump type with moisture condensation with
some imported machines having the same productivity ......485
5.3.4. Design of low-temperature vacuum drying system, heat
pump type with moisture condensation .........................................486
5.4. Automatic measurement and control of freeze drying machine,
a low-temperature vacuum drying system, heat pump type with
moisture condensation ..........................................................................505
5.4.1. Design of automatic control system for low-temperature
vacuum dryer, heat pump type with moisture condensation ..........505
5.4.2. Requirement of technology and automatic control a lowtemperature vacuum drying system, heat pump type with moisture condensation ...........................................................................506
5.4.2.1. Requirement of pasteurization regime ...................507
5.4.2.2. Requiring low-temperature vacuum drying mode,
sublimation drying ...............................................................509
5.4.3. The design of the dynamic part of a low-temperature
vacuum drying system has moisture condensation ........................510
5.4.4. Designing the controls of a low-temperature vacuum
drying system with moisture condensation ....................................513
5.4.5. Programing automatic measurement and controlling a
low-temperature vacuum drying system, heat pump type with
moisture condensation ...................................................................528
5.5. Manufacturing and installing the system of freeze drying machine,
a low-temperature vacuum drying system, heat pump type with
moisture condensation ...........................................................................529
5.5.1. Step 1: Technological requirements and input parameters
5.5.2. Step 2: Identifying the required specifications for the
design .............................................................................................530
5.5.3. Step 3: Development of technical profile drawings of
low-temperature vacuum drying system with condensation ..........530
5.5.4. Step 4: Fabrication of the low-temperature vacuum dryer
system with moisture condensation ...............................................530
5.5.5. Step 5: Vacuum drying system installation ..........................530
5.5.6. Step 6: Installation of automatic control systems ................531
18
5.5.7. Step 7: Operating, testing and calibrating the system .......531
5.5.8. Step 8: Vacuum drying of product and evaluation of
the effectiveness .............................................................................532
5.5.9. Fabrication and installation results in a low-temperature
vacuum drying system, heat pump type with moisture condensation .......................................................................................532
REFERENCES ....................................................................................538
APPENDIXES .....................................................................................556
APPENDIX 1 ........................................................................................556
APPENDIX 2 .......................................................................................563
APPENDIX 3 .......................................................................................575
APPENDIX 4 ........................................................................................580
APPENDIX 5 ........................................................................................584
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This drying technique is not only applied for food technology but is also widely used in other fields such as in pharmaceutical industry to preserve biological substances; in biotechnology to long-term store cells, genes and biological materials; or in cosmetic industry to preserve chemical ingredients without using any preservatives.
This book aims to provide the principles and techniques of modern freeze drying technology. It can be used as an excellent reference for teaching and researching activities in Ho Chi Minh City University of Technology and Education, as well as in other interdisciplinary academic institutes.
This book consists of five chapters including Chapter 1. Overview of Freeze drying; Chapter 2. The physical thermal properties of the moist material affecting the freeze drying process; Chapter 3. Modeling freeze drying process; Chapter 4. Methods for establishing modes of freeze drying technology, and Chapter 5. Calculation, design and manufacture of freeze
drying systems. It can be considered as a beneficial reference book for not only food engineers but also students from chemical, material or biological aspects who demand a comprehensive understanding of freeze drying.
As the first book about freeze drying published in Vietnam, the authors hope to provide a comprehensive study of freeze drying technique to the readers to promote the applications of freeze drying in research as well as in industry. Also, we would like to give all of our respect and gratefulness to colleagues in Ho Chi Minh City University of Technology and Education,
who strongly motivate us to write this book.
Due to the massive knowledge presented in this book, mistakes during the compilation are inevitable. We do hope to receive valuable feedback from readers to refine this book in following editions.
Your feedbacks could be sent to the corresponding author’s email:
tandzung072@hcmute.edu.vn.
Assoc. Prof. Dr. Nguyen Tan Dzung
CONTENTS:
PREFACE
Chapter 1: OVERVIEW OF FREEZE DRYING ..............................19
1.1. Scientific basis for the freeze drying process ...............................19
1.1.1. Definition ...............................................................................19
1.1.2. The phase transition process of water ....................................20
1.1.3. Stages of freeze drying process .............................................23
1.1.3.1. Freezing stage ...........................................................23
1.1.3.2. Freeze drying (Primary drying) ...............................26
1.1.3.3. Low-temperature vacuum drying (Secondary
drying) ....................................................................................28
1.1.4. Nature of the drying process ..................................................28
1.1.5. Equation of the phase transition of water during drying ............28
1.1.6. Sublimation mechanism of frozen ice in moist materials ............29
1.1.6.1. Ice sublimation .........................................................29
1.1.6.2. Crystalline ice in moisturous materials .....................30
1.2. Applying the freeze drying technology .........................................30
1.2.1. Application in pharmaceutical products ................................31
1.2.1.1. Injectable products ....................................................31
1.2.1.2. Oral drugs..................................................................32
1.2.2. Application in food technology ..............................................33
1.2.2.1. Animal-based products..............................................34
1.2.2.2. Plant-based products .................................................36
1.2.2.3. Application in post-harvest technology ....................38
1.2.3. Application in microbiology and enzyme technology ...........40
1.2.3.1. Microbiology.............................................................40
1.2.3.2. Enzyme technology ...................................................41
1.2.4. Application in biotechnology .................................................43
1.2.5. Application in material technology ........................................44
1.2.5.1. Ceramics ...................................................................45
1.2.5.2. Aerogels ....................................................................46
6
1.2.5.3. Other materials ..........................................................46
1.2.6. Application in other technology .............................................46
1.3. The freeze drying equipment system ............................................48
1.3.1. Principle diagram of freeze drying system ............................48
1.3.2. The sublimation chamber .......................................................51
1.3.3. The refrigeration system ........................................................54
1.3.4. The vacuum system................................................................56
1.3.4.1. The condensation-freezing equipment ......................56
1.3.4.2. Vacuum pump ...........................................................58
1.3.5. The automatic control of the freeze drying system ...............62
1.3.5.1. Structure of automatic measurement and control
system ....................................................................................64
1.3.5.2. Automatic control and measurement using computer ..........65
1.3.5.3. Automation of sublimation drying system ................66
1.4. Freeze drying systems used in production ...................................68
1.4.1. Sublimation drying system with separate freezing stage .........68
1.4.2. Sublimation drying system with freezing stage right in
the drying chamber ..........................................................................70
1.4.3. Continuous freeze drying .......................................................74
1.5. Development of freeze drying .......................................................75
1.5.1. International development .....................................................75
1.5.1.1. Freeze drying system from Germany ........................76
1.5.1.2. Freeze drying from the USA .....................................76
1.5.1.3. Freeze drying from Japan ..........................................77
1.5.1.4. Freeze drying from France ........................................78
1.5.1.5. Freeze drying from England .....................................80
1.5.1.6. Freeze drying from New Zealand .............................81
1.5.1.7. Freeze drying from China .........................................82
1.5.2. Local market – Vietnam ........................................................83
1.5.2.1. Freeze dryers DS-1 and DS-2 ...................................84
1.5.2.2. Freeze dryer DS-3 .....................................................84
1.5.2.3. Freeze dryer DS-4 .....................................................86
7
1.5.2.4. Freeze dryer DS-5 .....................................................87
1.5.2.5. Freeze dryer DS-6 .....................................................88
1.5.2.6. Freeze dryer DS-7 .....................................................90
1.5.2.7. Freeze dryer DS-8 .....................................................91
1.5.2.8. Freeze dryer DS-9 .....................................................93
1.5.2.9. Freeze dryer DS-10 ..................................................95
1.5.2.10. Freeze dryer DS-11 ................................................96
1.6. Products from the application of freeze drying in Vietnam .........97
1.6.1. Freeze drying of Penaeus monodon (tiger shrimp) and
Durian ..............................................................................................97
1.6.2. Freeze drying of royal jelly ....................................................98
1.6.3. Freeze drying of oranges, bananas, apples, and carrots .........99
1.6.4. Freeze drying of okra and Gac fruit .....................................100
1.6.5. Freeze drying of squid ........................................................100
1.6.6. Freeze drying of Cordyceps mushroom ...............................101
1.6.7. Freeze drying of dragon fruit and durian .............................101
1.6.8. Freeze drying of avocado and others ...................................102
REFERENCES ....................................................................................104
Chapter 2: THE PHYSICAL THERMAL PROPERTIES OF
THE MOIST MATERIAL AFFECTING THE FREEZE
DRYING PROCESS ...........................................................................113
2.1. Inorganic and organic materials .................................................113
2.2. Absolutely dried and moist materials .........................................114
2.2.1. Absolutely dried materials ...................................................114
2.2.2. Moist materials ....................................................................114
2.3. The properties of water in materials ..........................................115
2.3.1. The important physical thermal properties of water ............115
2.3.2. The water bond in moist materials .......................................118
2.3.3. The crystallization temperature in moist materials ..............119
2.3.4. Adsorption and capillary characteristics ..............................119
2.4. Material classification ..................................................................122
8
2.5. Types of linking bond and the moisture linking bond energy
in moist materials .................................................................................123
2.5.1. The adsorbent bonds ............................................................123
2.5.2. The capillary bonds ..............................................................125
2.5.3. The osmosis bonds ...............................................................126
2.6. Chemical compositions of materials ...........................................127
2.6.1. Water ....................................................................................127
2.6.2. Protein and free amino acids ................................................128
2.6.3. Carbohydrate ........................................................................129
2.6.4. Lipids and free fatty acids ....................................................130
2.6.5. Minerals ...............................................................................131
2.6.6. Vitamins ...............................................................................131
2.6.7. Other macro elements ..........................................................131
2.6.8. Other micro elements ...........................................................131
2.7. The advantages of biological materials ......................................132
2.8. The important physical thermal properties of biological
materials affecting the freezing and freeze drying process ...............132
2.8.1. Viscosity and the relationship between viscosity and
quality of biological materials .......................................................132
2.8.2. Specific heat of biological materials ....................................133
2.8.3. Density of biological materials ............................................136
2.8.4. Thermal conductivity of biological materials ......................139
2.8.5. The thermal diffusivity coefficient of biological materials ........142
2.8.6. The moisture diffusion coefficient of biological materials ........143
2.8.6.1. The moisture diffusion coefficient ..........................143
2.8.6.2. Mathematical model to determine the moisture
diffusion coefficient .............................................................145
REFERENCES ....................................................................................148
Chapter 3: MODELING FREEZE DRYING PROCESS ...............155
3.1. Introduction ..................................................................................155
3.1.1. Pretreatment ........................................................................157
9
3.1.2. Freezing ..............................................................................158
3.1.3. Primary drying ....................................................................161
3.1.4. Secondary drying ................................................................163
3.1.5. Why must we model the freeze drying process? .................165
3.2. Modeling of freezing process ......................................................165
3.2.1. General concepts .................................................................165
3.2.2. The freezing and thawing process of product .....................167
3.2.2.1. The freezing process of product .............................167
3.2.2.2. The thawing process of freezing product ................170
3.2.3. Mathematical models of the freezing process ......................170
3.2.4. The essential physical thermal parameters to calculate
the rate of freezing water inside the product of the freezing
process ...........................................................................................174
3.2.4.1. Latent heat of freezing of water ..............................174
3.2.4.2. Specific heat of product ..........................................174
3.2.4.3. The rate of freezing water inside freezing product ........175
3.2.5. Building the method to determine the rate of freezing
water inside the product of the freezing process ............................176
3.2.5.1. General concepts .....................................................176
3.2.5.2. The equipment to determine the rate of freezing
water inside freezing products ............................................177
3.2.5.3. The equipment to freeze the product sample .........178
3.2.5.4. Building the method to determine the rate of
freezing water of freezing products .....................................179
3.2.6. Building modeling the freezing process to determine
the rate of freezing water inside the product ..................................187
3.2.6.1. Assumptions for the building of the mathematical model ............................................................................187
3.2.6.2. Building and solving the mathematical model
of the freezing process .........................................................188
3.2.7. Thermodynamics of the freezing process ............................193
3.2.7.1. General concepts .....................................................193
10
3.2.7.2. Freezing time estimation methods ..........................194
3.2.8. Changes in product properties during freezing ....................195
3.2.8.1. The crystallization of moisture in the product ........195
3.2.8.2. The relationship between the rate of water freezing and freezing temperature .............................................197
3.2.8.3. Changes in product quality when freezing ............197
3.2.9. Technological factors affecting the freezing process of
products used for freeze drying ......................................................198
3.2.9.1. Ambient temperature of the freezing process .........199
3.2.9.2. Time of freezing process .........................................199
3.2.9.3. Thickness of the product layer ................................200
3.3. Modeling of freeze drying process .............................................200
3.3.1. Mathematical models describing the freeze drying process ......200
3.3.1.1. The moisture diffusion model during freeze drying .......200
3.3.1.2. Models of heat and mass transfer during freeze
drying ...................................................................................202
3.3.2. Building a mathematical model to describe the kinetics
of the freeze drying process ...........................................................203
3.3.2.1. The drying material has a flat sheet shape ..............203
3.3.2.2. The drying material has a cylindrical shape ...........209
3.3.2.3. The drying material has a spherical shape ..............217
3.3.3. Changing of product’s characteristics in freeze drying
process ............................................................................................224
3.3.3.1. Moisture content of the product ..............................224
3.3.3.2. Loss of quality components of the product ...........225
3.3.3.3. The loss of rare biological active ingredients
of the product ......................................................................226
3.3.3.4. Loss of vitamins of the product .............................226
3.3.3.5. Reconstitution of the product ................................227
3.3.3.6. Energy cost of the product .....................................228
3.3.4. Technological factors affecting the freeze drying process .......229
3.3.4.1. Temperature of freeze drying environment ............230
11
3.3.4.2. Pressure of freeze drying environment ...................230
3.3.4.3. Time of freeze drying process ................................231
3.4. Optimization problem in freeze drying technology ..................232
3.4.1. Optimization problem of freezing process for use in
freeze drying .................................................................................232
3.4.2. Optimization problem of freeze drying process ..................233
3.4.3. Optimal plans for freeze drying technology ........................234
3.4.3.1. Basic concepts ........................................................236
3.4.3.2. The utopian plan and the utopian effect .................237
3.4.3.3. Multi-objective optimization by the utopian
point method with S(Z) optimal combination criterion .......239
3.4.3.4. Optimizing the multi-objective functions by the
restricted area method with R(Z) optimal combination
criterion ................................................................................240
3.4.4. Experimental statistical method used in freeze drying ........242
3.5. Superior characteristics of freeze drying products ...................245
REFERENCES ....................................................................................248
Chapter 4: METHODS FOR ESTABLISHING MODES OF
FREEZE DRYING TECHNOLOGY ...............................................259
4.1. Some basic concepts .....................................................................259
4.1.1. Modes of freeze drying technology ....................................259
4.1.2. General method for determining the modes of freeze
drying technology ..........................................................................259
4.2. Determination of the chemical composition and viscosity of
royal jelly .............................................................................................261
4.2.1. Royal jelly ............................................................................261
4.2.2. Determination of chemical composition ..............................262
4.2.2.1. Water .......................................................................263
4.2.2.2. Protein .....................................................................263
4.2.2.3. Glucid .....................................................................265
4.2.2.4. Lipid .......................................................................265
12
4.2.2.5. Minerals ..................................................................266
4.2.2.6. Vitamin ...................................................................266
4.2.2.7. Wax .........................................................................267
4.2.3. Functions of royal jelly for humans .....................................268
4.2.3.1. Nutritional value .....................................................268
4.2.3.2. Pharmaceutical value ..............................................268
4.2.3.3. Cosmetic value .......................................................271
4.2.4. Determination of the viscosity of royal jelly .......................271
4.3. Modeling and optimizing, establishing the mode of technology
for freezing stage for freeze drying.......................................................271
4.3.1. Establishing a mathematical model to determine the
appropriate ratio of frozen water and freezing temperature for
frozen royal jelly ............................................................................273
4.3.1.1. Establishing a mathematical model to determine
the appropriate ratio of frozen water ...................................273
4.3.1.2. Determination of the suitable freezing temperature of royal jelly ..............................................................281
4.3.2. Modeling and optimizing for determining freezing
technology mode of royal jelly used for freeze drying ..................284
4.3.2.1. Establishing and solving an optimization problem
describing the freezing process of royal jelly used for
freeze drying ........................................................................284
4.3.2.2. Determining the mode of freezing technology
of royal jelly in stage 1 for freeze drying ............................295
4.3.2.3. Conclusion ..............................................................296
4.4. Modeling and optimizing to determine appropriate technological parameters of freeze drying process of royal jelly ....................297
4.4.1. Determination of the pressure of the freeze drying medium ........298
4.4.2. Establishment of component objective functions of
multi-objective optimizing problem ..............................................299
4.4.3. Establishment of single-objective optimization problem
describing the process of royal jelly freeze drying .......................305
13
4.4.4. Establishment of multi-objective optimization problem
describing the process of royal jelly freeze drying ........................305
4.4.5. Solving the single-objective optimization problems
describing the process of royal jelly freeze drying ........................306
4.4.6. Solving the multi-objective optimization problem of
royal jelly freeze drying by the restricted area method ..................308
4.4.7. Experimental verification of optimal Pareto roots and
optimal Pareto efficiency of royal jelly freeze drying process ......313
4.4.8. Simulation of experimental mathematical models on 3D
and 2D graphs ................................................................................314
4.5. Determination of physicothermal parameters, description
of kinetics and establishment of the mode of freeze drying technology for royal jelly ............................................................................325
4.5.1. Description of the kinematics of royal jelly freeze drying
process ...........................................................................................325
4.5.1.1. Mathematical model describing the kinematics
of royal jelly freeze drying process .....................................325
4.5.1.2. Determination of physicothermal parameters
royal jelly .............................................................................325
4.5.1.3. Finding the roots of the typical equation ................329
4.5.1.4. Identification of the coefficients of mathematical
models (4.33) .......................................................................330
4.5.1.5. Kinetic description of royal jelly freeze drying
process and compatibility assessment of mathematical
models (4.33) .......................................................................336
4.5.1.6. Thermodynamic graph of royal jelly freeze
drying using the optimal mode ............................................343
4.5.2. Setting the technological mode of freeze drying for
royal jelly .......................................................................................344
4.5.3. Determination of the preservation mode for freeze-dried
royal jelly product and establishment of the technological
procedure ........................................................................................346
14
4.5.3.1. Determination of the preservation mode for
freeze dried royal jelly product ............................................346
4.5.3.2. Establishment of technological procedure for
freeze drying of royal jelly ..................................................350
4.5.3.3. Prospects of applying freeze drying technology
in food processing and preservation in Vietnam..................352
REFERENCES ....................................................................................354
Chapter 5: CALCULATION, DESIGN, AND MANUFACTURE
OF FREEZE DRYING SYSTEMS ...................................................373
5.1. General methods ..........................................................................373
5.1.1. Calculation for the cooling system ......................................373
5.1.1.1. The initially required parameters ............................373
5.1.1.2. Steps for calculating and designing a cooling
system ..................................................................................374
5.1.2. Calculation and design for a freeze drying system ..............374
5.1.2.1. Calculating heat for the sublimation chamber ........374
5.1.2.2. Calculating and designing for the condenser ..........375
5.1.2.3. Calculating for the vacuum system ........................375
5.2. Calculation and design for a self-freeze drying system ............376
5.2.1. Calculating and designing a freezing system integrated
into the sublimation chamber of the freeze drying system ............376
5.2.1.1. Calculating the freezing chamber or sublimation
chamber ..............................................................................376
5.2.1.2. Calculating the cooling load (or capacity) for
the product freezing process before the lyophilization
process .................................................................................380
5.2.1.3. Calculating the cooling load (or capacity) for a
refrigeration process to condensate – freeze moisture
sublimating from dried products ..........................................396
5.2.1.4. Building up the operating principle diagram for
the cooling system in a freeze drying system ......................403
15
5.2.1.5. Calculating and choosing a compressor with the
suitable cooling capacity .....................................................404
5.2.1.6. The total electrical motor power ............................409
5.2.2. Calculation and design of heat exchangers of the product
refrigeration system .......................................................................409
5.2.2.1. Calculation and design of the condenser ................409
5.2.2.2. Calculation and design of an evaporator ................419
5.2.2.3. Calculation and design of a receiver .......................424
5.2.2.4. Calculation of a throttle valve ................................430
5.2.2.5. Calculation of pipes ................................................431
5.2.3. Freeze drying system design calculation .............................433
5.2.3.1. Calculation of freeze drying chamber design .........433
5.2.3.2. Calculation of the ice condenser .............................439
5.2.4. Calculation of the vacuum pump system .............................443
5.2.4.1. Flow capacity of a vacuum pump ...........................443
5.2.4.2. Vacuum pump capacity ...........................................444
5.2.5. Determining the defrost time ...............................................445
5.2.6. Durable testing ability for the freeze drying chamber
and the ice condenser ....................................................................447
5.2.6.1. Stability for the drying process ...............................447
5.2.6.2. Checking the thickness of the freeze drying
chamber and the ice condenser ...........................................450
5.3. Calculation, design of low-temperature vacuum drying system
with heat pump and moisture condensation type ................................451
5.3.1. Required input parameters for calculation, design and
manufacturing ................................................................................451
5.3.1.1. Problem ............................................................................451
5.3.1.2. Requirements of the problem ............................................451
5.3.2. Calculating the size of the drying chamber ..........................455
5.3.2.1. Choosing the design of the drying chamber ...........455
5.3.2.2. Determining the size of the drying chamber ..........455
5.3.2.3. Heat plates ..............................................................458
16
5.3.2.4. Calculating and testing equipment structure
durability ..............................................................................459
5.3.3. Heat calculation for the drying system ................................462
5.3.3.1. Determining the temperature and pressure of
the drying environment ........................................................462
5.3.3.2. Determining the size of the dehumidifier (or
condensation - freezing) ......................................................462
5.3.3.3. Determining the moisture capacity of an ice
condenser evaporated from the drying product ...................464
5.3.3.4. Determining the heating capacity of heat plates .......466
5.3.3.5. Calculating the cooling cycle working for the
refrigeration - heat pump system of the dryer .....................469
5.3.3.6. Determination of the heat transfer surface size
of the freezing condenser .....................................................474
5.3.3.7. Calculation of heat load for refrigeration-heat
pump system ........................................................................475
5.3.3.8. Calculation of capacity of refrigeration compressor for refrigeration-heat pump system .........................476
5.3.3.9. Calculation of the condenser’s cooling capacity
in the refrigeration system and the heat supply capacity
for heat plates inside the vacuum drying chamber in the
drying system .......................................................................478
5.3.3.10. Calculation and design of the internal condenser
(the outdoor unit 1) ..............................................................480
5.3.3.11. Calculation for choosing an external condenser
(the outdoor unit 2) ..............................................................482
5.3.3.12. Heating efficiency of side burner .........................482
5.3.3.13. Calculation of the vacuum pump ..........................483
5.3.3.14. Calculation of heat for the pasteurization process .......484
5.3.3.15. Comparison of low-temperature vacuum drying
system, heat pump type with moisture condensation with
some imported machines having the same productivity ......485
5.3.4. Design of low-temperature vacuum drying system, heat
pump type with moisture condensation .........................................486
5.4. Automatic measurement and control of freeze drying machine,
a low-temperature vacuum drying system, heat pump type with
moisture condensation ..........................................................................505
5.4.1. Design of automatic control system for low-temperature
vacuum dryer, heat pump type with moisture condensation ..........505
5.4.2. Requirement of technology and automatic control a lowtemperature vacuum drying system, heat pump type with moisture condensation ...........................................................................506
5.4.2.1. Requirement of pasteurization regime ...................507
5.4.2.2. Requiring low-temperature vacuum drying mode,
sublimation drying ...............................................................509
5.4.3. The design of the dynamic part of a low-temperature
vacuum drying system has moisture condensation ........................510
5.4.4. Designing the controls of a low-temperature vacuum
drying system with moisture condensation ....................................513
5.4.5. Programing automatic measurement and controlling a
low-temperature vacuum drying system, heat pump type with
moisture condensation ...................................................................528
5.5. Manufacturing and installing the system of freeze drying machine,
a low-temperature vacuum drying system, heat pump type with
moisture condensation ...........................................................................529
5.5.1. Step 1: Technological requirements and input parameters
5.5.2. Step 2: Identifying the required specifications for the
design .............................................................................................530
5.5.3. Step 3: Development of technical profile drawings of
low-temperature vacuum drying system with condensation ..........530
5.5.4. Step 4: Fabrication of the low-temperature vacuum dryer
system with moisture condensation ...............................................530
5.5.5. Step 5: Vacuum drying system installation ..........................530
5.5.6. Step 6: Installation of automatic control systems ................531
18
5.5.7. Step 7: Operating, testing and calibrating the system .......531
5.5.8. Step 8: Vacuum drying of product and evaluation of
the effectiveness .............................................................................532
5.5.9. Fabrication and installation results in a low-temperature
vacuum drying system, heat pump type with moisture condensation .......................................................................................532
REFERENCES ....................................................................................538
APPENDIXES .....................................................................................556
APPENDIX 1 ........................................................................................556
APPENDIX 2 .......................................................................................563
APPENDIX 3 .......................................................................................575
APPENDIX 4 ........................................................................................580
APPENDIX 5 ........................................................................................584
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