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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010342650 | TP155.2.M36 D88 2017 | Open Access Book | Book | Searching... |
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Summary
Summary
Mathematical Methods in Chemical and Biological Engineering describes basic to moderately advanced mathematical techniques useful for shaping the model-based analysis of chemical and biological engineering systems. Covering an ideal balance of basic mathematical principles and applications to physico-chemical problems, this book presents examples drawn from recent scientific and technical literature on chemical engineering, biological and biomedical engineering, food processing, and a variety of diffusional problems to demonstrate the real-world value of the mathematical methods. Emphasis is placed on the background and physical understanding of the problems to prepare students for future challenging and innovative applications.
Author Notes
Binay Kanti Dutta is a former chairman of the West Bengal Pollution Control Board, Kolkata, India. He has been involved in research and teaching in chemical engineering since 1970. He has taught at the Regional Engineering College (now the National Institute of Technology), Durgapur, India; the University of Calcutta, Kolkata, India; the University of Alberta, Edmonton, Canada; the Universiti Teknologi Petronas, Perak, Malaysia; and the Petroleum Institute, Abu Dhabi, United Arab Emirates. He has also worked as a visiting scientist at the National Institute of Standards and Technology, Boulder, Colorado, USA; the Stevens Institute of Technology, Hoboken, New Jersey, USA; and the Environmental Protection Agency, Cincinnati, Ohio, USA. He is a former head of the Chemical Engineering Department and a former director of the Academic Staff College at the University of Calcutta. Professor Dutta has published extensively on transport processes, mathematical modeling, membranes separation, reaction engineering, and environmental engineering, and holds a number of US, European, and Malaysian patents. He is the author of Heat Transfer--Principles and Applications and Principles of Mass Transfer and Separation Processes . He also served as the 2005 president of the Indian Institute of Chemical Engineers.
Table of Contents
| Architecture of Mathematical Models |
| Introduction |
| Classification of Mathematical Models in Chemical and Biological Engineering |
| Models Resulting in Algebraic Equations: Lumped-Parameter, Steady-State Models |
| Models Resulting in Ordinary Differential Equations: Initial Value Problems |
| Models Resulting in Ordinary Differential Equations: Boundary Value Problems |
| Models Resulting in Partial Differential Equations |
| Model Equations in Non-Dimensional Form |
| Concluding Comments |
| Exercise Problems |
| References |
| Ordinary Differential Equations and Applications |
| Introduction |
| Review of Solution of Ordinary Differential Equations |
| The Laplace Transform Technique |
| Matrix Method of Solution of Simultaneous ODEs |
| Concluding Comments |
| Exercise Problems |
| References |
| Special Functions and Solutions of Ordinary Differential Equations with Variable Coefficients |
| Introduction |
| The Gamma Function |
| The Beta Function |
| The Error Function |
| The Gamma Distribution |
| Series Solution of Linear Second-Order ODEs with Variable Coefficients |
| Series Solution of Linear Second-Order ODEs Leading to Special Functions |
| Legendre Differential Equation and the Legendre Functions |
| Hypergeometric Functions |
| Concluding Comments |
| Exercise Problems |
| References |
| Partial Differential Equations |
| Introduction |
| Common Second Order PDEs in Science and Engineering |
| Boundary Value Problems |
| Types of Boundary Conditions |
| Techniques of Analytical Solution of a Second Order PDE |
| Examples: Use of the Technique of Separation of Variables |
| Solution of Non-Homogeneous PDEs |
| Similarity Solution |
| Moving Boundary Problems |
| Principle of superposition |
| Green's Function |
| Concluding Comments |
| Exercise Problems |
| References |
| Integral Transforms |
| Introduction |
| Definition of an Integral Transform |
| Fourier Transform |
| Laplace Transform |
| Application to Engineering Problems |
| Concluding Comments |
| Exercise Problems |
| References |
| Approximate Methods of Solution of Model Equations |
| Introduction |
| Order Symbols |
| Asymptotic Expansion |
| Perturbation Methods |
| Concluding Comments |
| Exercise Problems |
| References |
| Answers to Selected Exercise Problems |
| Appendix A Topics in Matrices |
| Appendix B Fourier Series Expansion and Fourier Integral Theorem |
| Appendix C Review of Complex Variables |
| Appendix D Selected Formulas and Identities; Dirac Delta Function and Heaviside Function |
| Appendix E Brief Table of Inverse Laplace Transforms |
| Appendix F Some Detailed Derivations |
| View a List of Solved Examples |
