Integral Transforms in Computational Heat and Fluid Flow

ISBN-13: 9780849386657 / Angielski / Twarda / 1993 / 352 str.

Renato Machado Cotta

Opis

Integral Transforms in Computational Heat and Fluid Flow is a comprehensive volume that emphasizes the generalized integral transform technique (G.I.T.T.) and the developments that have made the technique a powerful computational tool of practical interest. The book progressively demonstrates the approach through increasingly difficult extensions and test problems. It begins with an overview of the generalized integral transform technique in contrast with classical analytical ideas.
Various applications are presented throughout the book, including transient fin analysis with time-dependent surface dissipation, laminar forced convection inside externally finned tubes, metals oxidation at high temperatures, forced convection in liquid metals, and Navier-Stokes equations.

Spis treści

INTRODUCTIONTHE CLASSICAL INTEGRAL TRANSFORM TECHNIQUEGeneral Solution for a Base Problem - Parabolic System Steady Multidimensional Problem - Elliptic SystemEigenvalue ProblemSYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONSLinear SystemsNumerical Methods and Stiff SystemsInfinite Systems and Approximate SolutionsPROBLEMS WITH VARIABLE EQUATION COEFFICIENTSTransient Problem (Parabolic System)Steady-State Problem (Elliptic System)ApplicationsPROBLEMS WITH VARIABLE BOUNDARY CONDITION COEFFICIENTSTime-dependent Boundary Condition CoefficientsAn Alternative ApproachSpace-dependent Boundary Condition CoefficientsApplicationsPROBLEMS WITH VARIABLE BOUNDARIESMoving Boundary Problems Diffusion within Irregular Domains - Elliptic ProblemDiffusion within Irregular Domains - Parabolic ProblemApplicationsPROBLEMS THAT INVOLVE DIFFICULT AUXILIARY PROBLEMSSturm-Liouville Problem with a Laplace Transform VariableSturm-Liouville Problem with Complex VariablesNon-separable Sturm-Liouville SystemsNon-classical Eigenvalue ProblemsAN INTRODUCTION TO THE SOLUTION OF NONLINEAR DIFFUSION-CONVECTION PROBLEMSNonlinear Source TermsNonlinear Convective TermsNonlinear Diffusion CoefficientsComputational ProcedureApplicationsREFERENCESAPPENDICESA - NotesB - Alternative Solution of Nonhomogeneous ProblemsC - Integral Transform Method for Eigenvalue Problems

O autorze

Renato Machado Cotta