Integral Transforms in Computational Heat and Fluid FlowCRC Press, 23 de jul. de 1993 - 352 páginas 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. |
Conteúdo
INTRODUCTION | 1 |
THE CLASSICAL INTEGRAL TRANSFORM TECHNIQUE | 7 |
SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS | 33 |
PROBLEMS WITH VARIABLE EQUATION COEFFICIENTS | 41 |
PROBLEMS WITH VARIABLE BOUNDARY | 79 |
PROBLEMS WITH VARIABLE BOUNDARIES | 109 |
PROBLEMS THAT INVOLVE DIFFICULT | 157 |
AN INTRODUCTION TO THE SOLUTION OF NONLINEAR | 233 |
REFERENCES | 303 |
APPENDICES | 315 |
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Integral Transforms in Computational Heat and Fluid Flow Renato Machado Cotta Visualização parcial - 2020 |
Integral Transforms in Computational Heat and Fluid Flow Renato Machado Cotta Visualização parcial - 2020 |
Termos e frases comuns
accuracy analysis analytical solution application approach approximate solution auxiliary problem axial Biot number boundary conditions class of problems coefficients matrix complete solution computational considered convergence behavior decoupled system defined diagonal diffusion problems dT(t duct eigenfunctions eigenvalue problem evaluated exact solution explicit finite differences flow fluid following integral transform fully converged given heat conduction Heat Transfer heat transfer coefficient IMSL infinite system initial condition integral transform pair integral transform technique inversion formula iterated lowest order laminar flow linear lowest order solution Mass Transfer non-diagonal elements nonlinear normalization integral numerical results Nusselt number obtained operator ordinary differential equations partial differential equation prob R.M.Cotta readily solved rewritten stream function Sturm-Liouville Sturm-Liouville problem subroutines T₁(t temperature tion transformed potentials transient truncation orders value problem velocity yield θη μ₁ μ² ду дх дх²