Applied Mathematical Methods for Chemical Engineers
Crc Press Inc (Verlag)
978-0-8493-0890-1 (ISBN)
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Although most realistic process engineering models require numerical solution, it is important for chemical engineering students to have an understanding of the gross tendencies of the particular model they are using. This understanding most naturally arises from deriving analytical solutions of a modified version of the problem being considered. Analytical models also allow for easier process optimizations.
Emphasizing these analytical methods, Applied Mathematical Methods for Chemical Engineers introduces several techniques essential to solving real problems. The author's presentation shows students how to translate a problem from prose to mathematical symbolism and allows them to inductively build on previous experience.
Designed for senior undergraduates and first-year graduates, the text provides detailed examples that allow students to experience how to actually use the methods presented. It contains an entire chapter of fully worked examples involving traditional mass, heat, and momentum applications along with cutting edge technologies, such as membrane separation and chemical vapor deposition. Another chapter acquaints readers with selected numerical methods and available software packages.
Favoring clear, practical exposition over strict mathematical rigor, Applied Mathematical Methods for Chemical Engineers removes the mathematics phobia that often exists among chemical engineering students. It allows them to learn by example the techniques they will need to solve problems in practice.
CHAPTER ONE
Introduction
Ordinary Differential Equations
FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
Linear Equations
Additional Information on Linear Equations
Nonlinear Equations
Problem Setup
LINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
Fundamental Solutions of the Homogeneous Equation
Homogeneous Equations with Constant Coefficients
Nonhomogeneous Equations
Variable Coefficient Problems
Alternative Methods
Applications of Second Order Differential Equations
STURM-LIOUVILLE PROBLEMS
Classification of Sturm-Liouville Problems
Eigenfunction Expansion
FOURIER SERIES AND INTEGRALS
Fourier Coefficient
Arbitrary Interval
Cosine and Sine Series
Convergence of Fourier Series
Fourier Integrals
PARTIAL DIFFERENTIAL EQUATIONS
Separation of Variables
The Nonhomogeneous Problem and Eigenfunction Expansion
Laplace Transform Methods
Combination of Variables
Fourier Integral Methods
Regular Perturbation Approaches
APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS IN CHEMICAL ENGINEERING
Heat Transfer
Mass Transfer
Comparison Between Heat and Mass Transfer Results
Simultaneous Diffusion and Convection
Simultaneous Diffusion and Chemical Reaction
Simultaneous Diffusion, Convection and Chemical Reaction
Viscous Flow
DIMENSIONAL ANALYSIS AND SCALING OF BOUNDARY VALUE PROBLEMS
A Classical Approach to Dimensional Analysis
Finding the "?S"
Scaling Boundary Value Problems
SELECTED NUMERICAL METHODS AND AVAILABLE SOFTWARE PACKAGES
Introduction and Philosophy
Solution of Nonlinear Algebraic Equations
Solution of Simultaneous Linear Algebraic Equations
Solution of Ordinary Differential Equations
Solution of Partial Differential Equations
CHAPTER SUMMARY
APPENDIX
INDEX
NOTE: Reference at the end of each chapter; Problems at the end of Chapters 2-8
| Erscheint lt. Verlag | 28.9.2000 |
|---|---|
| Zusatzinfo | 2299 equations; 19 Tables, black and white; 250 Illustrations, black and white |
| Verlagsort | Bosa Roca |
| Sprache | englisch |
| Maße | 156 x 235 mm |
| Gewicht | 794 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Chemie ► Technische Chemie | |
| Technik ► Umwelttechnik / Biotechnologie | |
| ISBN-10 | 0-8493-0890-9 / 0849308909 |
| ISBN-13 | 978-0-8493-0890-1 / 9780849308901 |
| Zustand | Neuware |
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