Boundary Value Problems of Heat ConductionCourier Corporation, 1 de jan. de 2002 - 504 páginas Intended for first-year graduate courses in heat transfer, including topics relevant to aerospace engineering and chemical and nuclear engineering, this hardcover book deals systematically and comprehensively with modern mathematical methods of solving problems in heat conduction and diffusion. Includes illustrative examples and problems, plus helpful appendixes. 134 illustrations. 1968 edition. |
Conteúdo
Chapter One BASIC RELATIONS | 1 |
Chapter Two HEAT CONDUCTION IN THE CARTESIAN | 43 |
Conduction in Finite Regions Solution With Separation | 54 |
Chapter Three HEAT CONDUCTION IN | 125 |
Chapter Four HEAT CONDUCTION IN THE SPHERICAL | 194 |
Involving More Than One Space Variable Solution with Integral | 225 |
Chapter Five DUHAMELS METHOD AND USE | 243 |
Chapter Six COMPOSITE REGIONS | 262 |
Chapter Seven APPROXIMATE METHODS IN | 301 |
Chapter Eight NONLINEAR BOUNDARYVALUE PROB | 348 |
Chapter Nine NUMERICAL SOLUTION OF HEATCON | 388 |
Dependent HeatConduction Equation | 420 |
Chapter Ten HEAT CONDUCTION IN ANISOTROPIC | 455 |
APPENDICES | 481 |
Some Properties of Bessel Functions | 493 |
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Termos e frases comuns
applying approximation boundary condition boundary surface boundary-value problem Btu/hr ft³ cartesian coordinate system conduction is given coordinate system cylindrical coordinate system defined derivatives eigenfunctions eigenvalues ẞm equation of heat evaluated finite region finite-difference given by Eq Green's function H₁ heat conduction heat flux heat source heat-conduction problems initial condition initially at temperature initially at zero integral transform inversion formula k₁ kernel layer method Monte Carlo method nodal point nonlinear obtain one-dimensional ordinary differential equation positive roots problem of heat radius random-walk semi-infinite region separation of variables side of Eq slab solid cylinder solution space variable spherical coordinate system ẞmx ẞx Substituting Eq T₁ temperature distribution temperature F(r thermal conductivity third kind tion transcendental equation unknown coefficients vector x₁ Xi+1 Xm+1 zero temperature δι θμ μ² ат әт дх дх² ᏊᎢ