Process Modelling and Simulation With Finite Element Methods First Edition by William B J Zimmerman ISBN 9812387935 9789812387936
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Product details:
ISBN 10: 9812387935
ISBN 13: 9789812387936
Author: William B. J. Zimmerman
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:
Chapter 1. FEMLAB and the Basics of Numerical Analysis
Introduction
Method 1: Root Finding
Method 2: Numerical Integration by Marching
Method 3: Numerical Integration of Ordinary Differential Equations
Method 4: Linear Systems Analysis
Summary
References
Chapter 2. Partial Differential Equations and the Finite Element Method
Introduction
Summary
References
Chapter 3. Multiphysics
Introduction
Buoyant Convection
Unsteady Response of a Nonlinear Tubular Reactor
Heterogeneous Reaction in a Porous Catalyst Pellet
Discussion
References
Chapter 4. Extended Multiphysics
Introduction
Heterogeneous Reaction in a Fixed Bed with Premixed Feed
Primacy of the Buffer Tank
Linking the 2-D Buffer Tank to the 1-D Heterogeneous Reactor
Bioreactor Kinetics
Discussion
References
Chapter 5. Simulation and Nonlinear Dynamics
Introduction
Rayleigh–Bénard Convection
Viscous Fingering Instabilities
Summary
References
Chapter 6. Geometric Continuation
Introduction
Stationary Geometric Continuation: Pressure Drop in a Channel with an Orifice Plate
Transient Geometric Continuation: Film Drying
Summary
End Note: Solver Parameters for Problems with Pointwise Weak Terms
References
Chapter 7. Coupling Variables Revisited: Inverse Problems, Line Integrals, Integral Equations, and Integro-Differential Equations
Introduction
Summary
References
Chapter 8. Modeling of Multi-Phase Flow Using the Level Set Method
Introduction
Governing Equations of the Level Set Method
Curvature Analysis: Methodology
Results and Discussion
Summary
Acknowledgements
References
Chapter 9. Electrokinetic Flow
Introduction
Weak Boundary Constraints: Revisiting ECT
Electrokinetic Flow
Summary
Acknowledgements
References
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Tags: William B J Zimmerman, Process Modelling, Simulation, Finite Element Methods