Applied Linear Analysis for Chemical Engineers: A Multi-scale Approach with Mathematica®

Vemuri Balakotaiah; Ram R. Ratnakar

Published by De Gruyter 2023

Applied Linear Analysis for Chemical Engineers

A Multi-scale Approach with Mathematica®

Vemuri Balakotaiah and Ram R. Ratnakar

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110739701

Overview
Contents

About this book

This textbook gives a unified treatment of the solution of various linear equations that arise in science and engineering with examples. It is based on a course taught by the first author for over thirty years. Some unique features include:

Use of symbolic software for illustrating and enhancing the impact of physical parameter changes on solutions.
Multi-scale analysis of engineering problems with physical interpretation of time and length scales in terms of eigenvalues and eigenvectors/eigenfunctions.
Discussion of compartment models for various finite dimensional problems.
Evaluation and illustration of functions of matrices (and use of symbolic manipulation) to solve multi-component diffusion-convection-reaction problems.
Illustration of the techniques and interpretation of solutions to several classical engineering problems.
Emphasis on the connection between discrete (matrix algebra) and continuum.
Physical interpretation of adjoint operator and adjoint systems.
Use of complex analysis and algebra in the solution of practical engineering problems.

Includes 100 illustrative problems in the text.
Additional 150 practice problems along with solutions.
Use of symbolic manipulators (such as Mathematica) and generation of graphics.
Various web based extensions.

Author / Editor information

Vemuri Balakotaiah

is a Professor of Chemical and Biomolecular Engineering and holds the Hugh Roy and Lillie Cranz Cullen Distinguished University Chair at the University of Houston.

Ram R. Ratnakar

is a Subject Matter Expert (Thermodynamics/PVT) and a Sr. Researcher in R&D Mathematics & Computation at Shell Int. E&P.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Introduction Publicly Available Download PDF	VII
Contents Publicly Available Download PDF	XI
Part I: Applied matrix algebra
1 Matrices and linear algebraic equations Requires Authentication Unlicensed Licensed Download PDF	1
2 Determinants Requires Authentication Unlicensed Licensed Download PDF	44
3 Vectors and vector expansions Requires Authentication Unlicensed Licensed Download PDF	65
4 Solution of linear equations by eigenvector expansions Requires Authentication Unlicensed Licensed Download PDF	82
5 Solution of linear equations containing a square matrix Requires Authentication Unlicensed Licensed Download PDF	122
6 Generalized eigenvectors and canonical forms Requires Authentication Unlicensed Licensed Download PDF	160
7 Quadratic forms, positive definite matrices and other applications Requires Authentication Unlicensed Licensed Download PDF	179
Part II: Abstract vector space concepts
Introduction Requires Authentication Unlicensed Licensed Download PDF	205
8 Vector space over a field Requires Authentication Unlicensed Licensed Download PDF	207
9 Linear transformations Requires Authentication Unlicensed Licensed Download PDF	214
10 Normed and inner product vector spaces Requires Authentication Unlicensed Licensed Download PDF	229
11 Applications of finite-dimensional linear algebra Requires Authentication Unlicensed Licensed Download PDF	253
Part III: Linear ordinary differential equations-initial value problems, complex variables and laplace transform
12 The linear initial value problem Requires Authentication Unlicensed Licensed Download PDF	277
13 Linear systems with periodic coefficients Requires Authentication Unlicensed Licensed Download PDF	292
14 Analytic solutions, adjoints and integrating factors Requires Authentication Unlicensed Licensed Download PDF	302
15 Introduction to the theory of functions of a complex variable Requires Authentication Unlicensed Licensed Download PDF	318
16 Series solutions and special functions Requires Authentication Unlicensed Licensed Download PDF	344
17 Laplace transforms Requires Authentication Unlicensed Licensed Download PDF	361
Part IV: Linear ordinary differential equations-boundary value problems
18 Two-point boundary value problems Requires Authentication Unlicensed Licensed Download PDF	423
19 The nonhomogeneous BVP and Green’s function Requires Authentication Unlicensed Licensed Download PDF	445
20 Eigenvalue problems for differential operators Requires Authentication Unlicensed Licensed Download PDF	478
21 Sturm–Liouville theory and eigenfunction expansions Requires Authentication Unlicensed Licensed Download PDF	496
22 Introduction to the solution of linear integral equations Requires Authentication Unlicensed Licensed Download PDF	520
Part V: Fourier transforms and solution of boundary and initial-boundary value problems
23 Finite Fourier transforms Requires Authentication Unlicensed Licensed Download PDF	551
24 Fourier transforms on infinite intervals Requires Authentication Unlicensed Licensed Download PDF	598
25 Fourier transforms in cylindrical and spherical geometries Requires Authentication Unlicensed Licensed Download PDF	642
Part VI: Formulation and solution of some classical chemical engineering problems
Introduction Requires Authentication Unlicensed Licensed Download PDF	681
26 The classical Graetz–Nusselt problem Requires Authentication Unlicensed Licensed Download PDF	683
27 Friction factors for steady-state laminar flow in ducts Requires Authentication Unlicensed Licensed Download PDF	695
28 Multicomponent diffusion and reaction Requires Authentication Unlicensed Licensed Download PDF	704
29 Packed-bed chromatography Requires Authentication Unlicensed Licensed Download PDF	721
30 Stability of transport and reaction processes Requires Authentication Unlicensed Licensed Download PDF	740
Bibliography Requires Authentication Unlicensed Licensed Download PDF	759
Index Requires Authentication Unlicensed Licensed Download PDF	761

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate Students in Chemical and other branches of Engineering, Chemical Engineers, Chemical Process Engineers.
Pages
- Front matter: 22
- Main content: 762
Illustrations
- Illustrations: 149
- Coloured Illustrations: 13
Keywords: Technische Chemie; Chemieingenieurwesen; Verfahrenstechnik; Angewandte Mathematik; Analysis

eBook

Published: December 31, 2022
ISBN: 9783110739701

Paperback

Published: December 31, 2022
ISBN: 9783110739695