"Presenting mathematical prerequisites in summary tables, this book explains fundamental techniques of mathematical modeling processes essential to the food industry. The author focuses on providing an in-depth understanding of modeling techniques, rather than the finer mathematical points. Topics covered include modeling of transport phenomena, kinetic processes, and food engineering operations. The book also discusses statistical process analysis and quality control. It includes examples from almost every conceivable food process, most of which are based on real data given in the many references. Each example is followed by a clear, step- by-step worked solution"--Provided by publisher."The second edition of the book is substantially different from the first edition in the sense that i. The title of the book is modified following the recommendations of experts from academia and the industry. It is intended to present the book as a compendium of applications within its scope. ii. The new edition covers extensive MATLAB applications. The model equations are solved with MATLAB and the resulting figures are generated by the code. The models are compared mostly with real data from the literature. Some errors occurred while reading the data; therefore, the model parameters sometimes had different values than those of the references. iii. Tabular values and plots of mathematical functions are produced through MATLAB codes. iv. All of the MATLAB codes are given on the CD accompanying the book. A summary of the important features and functions of the MATLAB codes used in the book are given in Table 1.1. The readers may refer to this table to locate the functions or syntax they need. They may copy lines from the examples and write their own code with them. I wrote my own codes by following this procedure. I would recommend achieving each task in the code in a stepwise manner and then going on to the next task. Each task is usually defined in the examples with phrases such as x Preface % enter the data, % plot the data, % modeling, % plot the model, etc. I tried to maintain this order in the codes when possible. v. A few food processing methods (i.e., pulsed electric field and high pressure processing) gained importance after the first edition. Some examples are included to cover the development"--Provided by publisher. Read more... Content: Machine generated contents note: 1. Introduction to Process Modeling -- 1.1. The Property Balance -- 1.2. What Is Process Modeling? -- 1.3. Empirical Models and Linear Regression -- References -- 2. Transport Phenomena Models -- 2.1. The Differential General Property Balance Equation -- 2.2. Equation of Continuity -- 2.3. Equation of Energy -- 2.4. Equation of Motion -- 2.5. Theories for Liquid Transport Coefficients -- 2.5.1. Eyring's Theory of Liquid Viscosity -- 2.5.2. Thermal Conductivity of Liquids -- 2.5.3. Hydrodynamic Theory of Diffusion in Liquids -- 2.5.4. Eyring's Theory of Liquid Diffusion -- 2.6. Analytical Solutions to Ordinary Differential Equations -- 2.7. Transport Phenomena Models Involving Partial Differential Equations -- 2.8. Chart Solutions to Unsteady State Conduction Problems -- 2.9. Interfacial Mass Transfer -- 2.10. Correlations for Parameters of the Transport Equations -- 2.10.1. Density of Dried Vegetables -- 2.10.2. Specific Heat -- 2.10.3. Thermal Conductivity of Meat -- 2.10.4. Viscosity of Microbial Suspensions -- 2.10.5. Moisture Diffusivity in Granular Starch -- 2.10.6. Convective Heat Transfer Coefficients during Heat Transfer to Canned Foods in Steritort -- 2.10.7. Mass Transfer Coefficient k for Oxygen Transfer in Fermenters -- 2.11. Rheological Modeling -- 2.12. Engineering Bernoulli Equation -- 2.13. Laplace Transformations in Mathematical Modeling -- 2.14. Numerical Methods in Mathematical Modeling -- References -- 3. Kinetic Modeling -- 3.1. Kinetics and Food Processing -- 3.2. Rate Expression -- 3.3. Why Do Chemicals React? -- 3.4. Temperature Effects on Reaction Rates -- 3.5. Precision of Reaction Rate Constant and Activation Energy Determinations -- 3.6. Enzyme-Catalyzed Reaction Kinetics -- 3.7. Analogy Kinetic Models -- 3.8. Metabolic Process Engineering -- 3.9. Microbial Kinetics -- 3.10. Kinetics of Microbial Death -- 3.11. Ideal Reactor Design -- References -- 4. Mathematical Modeling in Food Engineering Operations -- 4.1. Thermal Process Modeling -- 4.2. Moving Boundary and Other Transport Phenomena Models for Processes Involving Phase Change -- 4.3. Kinetic Modeling of Crystallization Processes -- 4.4. Unit Operation Models -- 4.4.1. Basic Computations for Evaporator Operations -- 4.4.2. Basic Computations for Filtration and Membrane Separation Processes -- 4.4.3. Basic Computations for Extraction Processes -- 4.4.4. Mathematical Analysis of Distilled Beverage Production Processes -- References -- 5. Statistical Process Analysis and Quality Control -- 5.1. Statistical Quality Control -- 5.2. Statistical Process Analysis -- 5.3. Quality Control Charts for Measurements -- 5.4. Quality Control Charts for Attributes -- 5.5. Acceptance Sampling by Attributes -- 5.6. Standard Sampling Plans for Attributes -- 5.7. HACCP and FMEA Principles -- 5.8. Quality Assurance and Improvement through Mathematical Modeling -- References. Abstract: Rev. ed. of: Food process modeling and statistical quality control. 1998. Read more...
Author(s): Mustafa Özilgen
Edition: 2nd ed
Publisher: CRC Press
Year: 2011
Language: English
Pages: 689
City: Boca Raton, FL
Handbook of Food Process Modeling and Statistical Quality Control with Extensive MATLAB® Applications, Second Edition......Page 3
Contents......Page 7
Preface......Page 9
Author......Page 13
1.1 The Property Balance......Page 14
1.2 What Is Process Modeling?......Page 27
1.3 Empirical Models and Linear Regression......Page 29
References......Page 49
2.1 The Differential General Property Balance Equation......Page 51
2.2 Equation of Continuity......Page 52
2.4 Equation of Motion......Page 60
2.5.1 Eyring’s Theory of Liquid Viscosity......Page 61
2.5.3 Hydrodynamic Theory of Diffusion in Liquids......Page 65
2.5.4 Eyring’s Theory of Liquid Diffusion......Page 66
2.6 Analytical Solutions to Ordinary Differential Equations......Page 68
2.7 Transport Phenomena Models Involving Partial Differential Equations......Page 82
2.8 Chart Solutions to Unsteady State Conduction Problems......Page 113
2.9 Interfacial Mass Transfer......Page 120
2.10.2 Specific Heat......Page 125
2.10.3 Thermal Conductivity of Meat......Page 126
2.10.4 Viscosity of Microbial Suspensions......Page 127
2.10.6 Convective Heat Transfer Coefficients during Heat Transfer to Canned Foods in Steritort......Page 128
2.10.7 Mass Transfer Coefficient k for Oxygen Transfer in Fermenters......Page 129
2.11 Rheological Modeling......Page 136
2.12 Engineering Bernoulli Equation......Page 153
2.13 Laplace Transformations in Mathematical Modeling......Page 163
2.14 Numerical Methods in Mathematical Modeling......Page 170
References......Page 195
3.1 Kinetics and Food Processing......Page 198
3.2 Rate Expression......Page 199
3.3 Why Do Chemicals React?......Page 208
3.4 Temperature Effects on Reaction Rates......Page 211
3.5 Precision of Reaction Rate Constant and Activation Energy Determinations......Page 213
3.6 Enzyme-Catalyzed Reaction Kinetics......Page 216
3.7 Analogy Kinetic Models......Page 239
3.8 Metabolic Process Engineering......Page 247
3.9 Microbial Kinetics......Page 259
3.10 Kinetics of Microbial Death......Page 280
3.11 Ideal Reactor Design......Page 293
References......Page 317
4.1 Thermal Process Modeling......Page 320
4.2 Moving Boundary and Other Transport Phenomena Models for Processes Involving Phase Change......Page 354
4.3 Kinetic Modeling of Crystallization Processes......Page 400
4.4.1 Basic Computations for Evaporator Operations......Page 421
4.4.2 Basic Computations for Filtration and Membrane Separation Processes......Page 435
4.4.3 Basic Computations for Extraction Processes......Page 461
4.4.4 Mathematical Analysis of Distilled Beverage Production Processes......Page 494
References......Page 515
5.1 Statistical Quality Control......Page 519
5.2 Statistical Process Analysis......Page 521
5.3 Quality Control Charts for Measurements......Page 586
5.4 Quality Control Charts for Attributes......Page 608
5.5 Acceptance Sampling by Attributes......Page 618
5.6 Standard Sampling Plans for Attributes......Page 630
5.7 HACCP and FMEA Principles......Page 655
5.8 Quality Assurance and Improvement through Mathematical Modeling......Page 666
References......Page 687