Process Modelling and Simulation With Finite Element Methods

Process Modelling and Simulation With Finite Element Methods (Series on Stability, Vibration and Control of Systems, Series a)

Summary:
This book presents a systematic description and case studies of chemical engineering modelling and simulation based on the MATLAB/FEMLAB tools, in support of selected topics in undergraduate and postgraduate programmes that require numerical solution of complex balance equations (ordinary differential equations, partial differential equations, nonlinear equations, integro-differential equations). These systems arise naturally in analysis of transport phenomena, process systems, chemical reactions and chemical thermodynamics, and particle rate processes. Templates are given for modelling both state-of-the-art research topics (e.g. microfluidic networks, film drying, multiphase flow, population balance equations) and case studies of commonplace design calculations — mixed phase reactor design, heat transfer, flowsheet analysis of unit operations, flash distillations, etc.
The great strength of this book is that it makes modelling and simulating in the MATLAB/FEMLAB environment approachable to both the novice and the expert modeller.



Table of Contents

Introduction to FEMLAB by W. B. J. Zimmerman 1
1 FEMLAB and the basics of numerical analysis by W. B. J. Zimmerman 23
2 Partial differential equations and the finite element method by W. B. J. Zimmerman and B. N. Hewakandamby 63
3 Multiphysics by W. B. J. Zimmerman 107
4 Extended multiphysics by W. B. J. Zimmerman and P. O. Mchedlov-Petrossyan and G. A. Khomenko 137
5 Simulation and nonlinear dynamics by W. B. J. Zimmerman 173
6 Geometric continuation by W. B. J. Zimmerman and A. F. Routh 215
7 Coupling variables revisited : inverse problems, line integrals, integral equations, and integro-differential equations by W. B. J. Zimmerman 245
8 Modeling of multi-phase flow using the level set method by K. B. Deshpande and W. B. J. Zimmerman 293
9 Electrokinetic flow by W. B. J. Zimmerman and J. M. Macinnes 313
App A MATLAB/FEMLAB primer for vector calculus by W. B. J. Zimmerman and J. M. Rees 351