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.
Introduction to Process Modeling The Property Balance What is Process Modeling? Empirical Models and Linear Regression References. Transport Phenomena Models The Differential General Property Balance Equation Equation of Continuity Equation of Energy Equation of Motion Theories for Liquid Transport Coefficients Analytical Solutions to Ordinary Differential Equations Transport Phenomena Models Involving Partial Differential Equations Chart Solutions to Unsteady State Conduction Problem. Interfacial Mass Transfer Rheological Modeling The Engineering Bernoulli Equation Laplace Transformations in Mathematical Modeling. Numerical Methods in Mathematical Modeling References Kinetic Modeling. Kinetics and Food Processing The Rate Expression Why Do the Chemicals React? Temperature Effects on the Reaction Rates Precision of Reaction Rate Constant and Activation Energy Determinations Enzyme Catalyzed Reaction Kinetics. Analogy Kinetic Models Metabolic Process Engineering Microbial Kinetics Kinetics of Microbial Death Ideal Reactor Design References. Mathematical Modeling in Food Engineering Operations Thermal Process Modeling Moving Boundary and Other Transport Phenomena Models for Processes Involving Phase Change Kinetic Modeling of Crystallization Processes Unit Operation Models References Statistical Process Analysis and Quality Control Statistical Quality Control Statistical Process Analysis Quality Control Charts for Measurements Quality Control Charts for Attributes Acceptance Sampling by Attributes Standard Sampling Plans for Attributes HACCP and FMEA Principles Quality Assurance and Improvement Through Mathematical Modeling References Index