Boundary Element Methods (BEM) have gained widespread acceptance in the areas of engineering analysis related to potential problems and elasticity. These techniques are also being used increasingly for the analysis of heat and mass transfer problems and more recently in flow analysis or momentum transport. The advantages of the method, such as the reduction of dimensionality for linear differential equations, ease of coding and smaller memory requirements and its high level of accuracy and computational efficiency, will ensure that its use will become more and more common. Until now coverage of the method's use in transport phenomena has been confined to journals and multi-editor works and textbook coverage has not been available. The purpose of this book is to provide a monograph to fill this gap. It aims to provide a thorough understanding of the fundamentals of the method and its capability in solving a wide range of transport phenomena problems, especially in heat and mass transfer.
The book can be used as a stand alone text for a short BEM course or as a supplement to the more traditional transport phenomena texts in a conventional course to reinforce the numerical aspects of the subject. It can also be used as a self study tool for researchers involved in engineering analysis. Examples are provided throughout the text to illustrate the ideas and solutions.
Boundary Element Methods (BEM) have gained widespread acceptance in the areas of engineering analysis related to potential problems and elasticity. These techniques are also being used increasingly for the analysis of heat and mass transfer problems and more recently in flow analysis or momentum transport. The advantages of the method, such as the reduction of dimensionality for linear differential equations, ease of coding and smaller memory requirements and its high level of accuracy and computational efficiency, will ensure that its use will become more and more common. Until now coverage of the method's use in transport phenomena has been confined to journals and multi-editor works and textbook coverage has not been available. The purpose of this book is to provide a monograph to fill this gap. It aims to provide a thorough understanding of the fundamentals of the method and its capability in solving a wide range of transport phenomena problems, especially in heat and mass transfer.
The book can be used as a stand alone text for a short BEM course or as a supplement to the more traditional transport phenomena texts in a conventional course to reinforce the numerical aspects of the subject. It can also be used as a self study tool for researchers involved in engineering analysis. Examples are provided throughout the text to illustrate the ideas and solutions.
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Verlagsgruppe
Elsevier Science & Technology
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Editions-Typ
ISBN-13
978-1-85861-026-9 (9781858610269)
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Schweitzer Klassifikation
Autor*in
Department of Chemical Engineering, Washington University, St Louis, USA
Part 1 Model equations of transport phenomena: heat conservation equation; mass conservation equation. Part 2 Integral formulations: objectives; adjoint operators; weighted residual methods. Part 3 Green's functions and fundamental solutions: objectives; Dirac delta function; Green's function. Part 4 Second order differential equations: osculating polynomials; linear forcing functions. Part 5 Multiple and higher order equations: objectives; multiple differential equations; third order equation. Part 6 Transient ID problems: solution of initial value problems; use of BEM for distance variable. Part 7 Laplace equation: geometric preliminaries; boundary element formulation. Part 8 Laplace equation - advanced topics: 3D boundary elements; domains extending to infinity; axysymmetric problems. Part 9 Poisson equation: particular integral method; domain integration method. Part 10 Heat and mass transfer applications: multiple solution case; partially poisoned catalyst; gas absorption with reaction. Part 11 Applications to fluid flow: scope; vector equations for flow; potential flow. (Part Contents).
