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

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.

About the author

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.


Professor Vemuri Balakotaiah started his career as a research scientist at Shell in Houston, Texas, followed by Dow Chemical and Sabic. From 1980 onwards extensive teaching experience at several universities. Currently at High Roy & Lillie Cranz Cullen, distinguished University Chair,


Cullen College of Engineering. Around 210 journal articles, chapters in several books, plus 6 patents to his name.


Awards:


2007: Flour-Daniel Faculty Excellence Award, Cullen College of Engineering


2003: Award for Excellence in Research and Scholarship, University of Houston


2001: Ya. B. Zeldovich Award, The Dow Chemical Company


1998-2001: Member, Modeling Technical Advisory Board, The Dow Chemical Company

Ram R. Ratnakar is a Subject Matter Expert (Thermodynamics/PVT) and a Sr. Researcher in R&D Mathematics & Computation at Shell Int. E&P. He is at present Reservoir Engineer at Shell in Houston. Before this he was an Research Assistant at the University of Houston, Texas and has 24 publications to his name.

Product details

• Authors: Vemuri Balakotaiah, Ram R Ratnakar, Ram R. Ratnakar
• Publisher: De Gruyter
• Languages: English
• Product format: Paperback / Softback
• Released: 01.10.2025
• EAN: 9783111597386
• ISBN: 978-3-11-159738-6
• No. of pages: 780
• Dimensions: 175 mm x 42 mm x 242 mm
• Weight: 1307 g
• Illustrations: 9 b/w and 151 col. ill., 10 b/w tbl.
• Series: De Gruyter Textbook
• Subjects: Natural sciences, medicine, IT, technology > Technology > Chemical engineering; Verfahrenstechnik, Analysis, Technische Chemie, Angewandte Mathematik, Verfahrenstechnik und -technologie, Chemieingenieurwesen, TEC009000 Technology & Engineering / Engineering (General), MAT034000 MATHEMATICS / Mathematical Analysis, MAT003000 MATHEMATICS / Applied, TEC018000 Technology & Engineering / Industrial Technology, matrix algebra, boundary value problems, Initial Value Problems, Initial Boundary Value Problems, Fourier Transforms, Chemical Engineering Problems