Process Modelling and Simulation With Finite Element Methods




William B. J. Zimmerman, ?Process Modelling and Simulation With Finite Element Methods
(Series on Stability, Vibration and Control of Systems, Series a)?
World Scientific Publishing | ISBN 9812387935 | 2004-06 | PDF |15.9 M | 382 page



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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





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