Heat conduction (2nd edition)
Abstract
Analytical and numerical methods for solving problems of heat transfer in rectangular, cylindrical, and spherical coordinates, are described. Among the analytical methods discussed are: separation of variables; integral and Laplace transforms, and Fourier series. Finite difference numerical approximations for steady state heat transfer problems in rectangular coordinates are described in detail. Additional numerical methods for solving heat transfer problems are discussed including: Duhamel's method; variational formulations; and an integral method.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1985
 Bibcode:
 1985STIA...8621310K
 Keywords:

 Computational Fluid Dynamics;
 Conductive Heat Transfer;
 Bessel Functions;
 Boundary Value Problems;
 Error Functions;
 Finite Difference Theory;
 Fourier Transformation;
 Integral Equations;
 Integral Transformations;
 Laplace Transformation;
 One Dimensional Flow;
 Orthogonal Functions;
 Steady State;
 Temperature Dependence;
 Thermodynamics;
 Three Dimensional Flow;
 Two Dimensional Flow;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer