Boundary Value Problems of Heat ConductionDover Publications, 1989 - 504 páginas Intended for first-year graduate courses in heat transfer, this volume includes topics relevant to chemical and nuclear engineering and aerospace engineering. The systematic and comprehensive treatment employs modern mathematical methods of solving problems in heat conduction and diffusion. Starting with precise coverage of heat flux as a vector, derivation of the conduction equations, integral-transform technique, and coordinate transformations, the text advances to problem characteristics peculiar to Cartesian, cylindrical, and spherical coordinates; application of Duhamel's method; solution of heat-conduction problems; and the integral method of solution of nonlinear conduction problems. Additional topics include useful transformations in the solution of nonlinear boundary value problems of heat conduction; numerical techniques such as the finite differences and the Monte Carlo method; and anisotropic solids in relation to resistivity and conductivity tensors. Illustrative examples and problems amplify the text, which is supplemented by helpful appendixes. |
Conteúdo
Chapter One BASIC RELATIONS | 1 |
Chapter Two HEAT CONDUCTION IN THE CARTESIAN | 13 |
Conduction in Finite Regions Solution With Separation | 54 |
Direitos autorais | |
15 outras seções não mostradas
Outras edições - Ver todos
Termos e frases comuns
applying approximation Bessel functions boundary condition boundary surface boundary-value problem Btu/hr ft³ cartesian coordinate system conduction is given Consider convection cylindrical coordinate system defined derivatives determined eigenfunctions eigenvalues ẞm equation of heat evaluated finite region finite-difference given by Eq Green's function H₁ Hankel transform 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 nodal point nonlinear one-dimensional ordinary differential equation partial positive roots problem of heat radius random-walk respect second kind semi-infinite region separation of variables side of Eq slab solid cylinder solution space variable ẞmx ẞx Substituting Eq T₁ temperature distribution temperature F(r thermal conductivity third kind tion transcendental equation unknown coefficients vector x₁ Xi+1 zero temperature δι ат әт дх дх²