Applied Mathematical Methods for Chemical Engineers / Edition 1

Applied Mathematical Methods for Chemical Engineers / Edition 1

by Norman W. Loney
     
 

ISBN-10: 0849308909

ISBN-13: 9780849308901

Pub. Date: 01/28/2001

Publisher: Taylor & Francis

This text introduces mathematical methods essential to solving avariety of real process engineering problems. It includes many detailed examples of the methods discussed, allowing readers to experience how to actually use mathematical methods. This is the only applied mathematics book on the market that contains worked examples covering mass, momentum, and heat…  See more details below

Overview

This text introduces mathematical methods essential to solving avariety of real process engineering problems. It includes many detailed examples of the methods discussed, allowing readers to experience how to actually use mathematical methods. This is the only applied mathematics book on the market that contains worked examples covering mass, momentum, and heat applications, along with applications to cutting-edge technologies. The author presents the material in a way that allows readers to inductively build on past experience, shows how to translate problems from prose into mathematical symbolism, and offers a section outlining available software packages.

Product Details

ISBN-13:
9780849308901
Publisher:
Taylor & Francis
Publication date:
01/28/2001
Edition description:
Older Edition
Pages:
464
Product dimensions:
6.32(w) x 9.58(h) x 1.13(d)

Table of Contents

CHAPTER ONE (no title)
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 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

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