Application of a finite difference technique to thermal wave propagation
Abstract
A finite difference formulation is presented for thermal wave propagation resulting from periodic heat sources. The numerical technique can handle complex problems that might result from variable thermal diffusivity, such as heat flow in the earth with ice and snow layers. In the numerical analysis, the continuous temperature field is represented by a series of grid points at which the temperature is separated into real and imaginary terms. Next, computer routines previously developed for acoustic wave propagation are utilized in the solution for the temperatures. The calculation procedure is illustrated for the case of thermal wave propagation in a uniform property semiinfinite medium.
 Publication:

American Society of Mechanical Engineers and American Institute of Chemical Engineers
 Pub Date:
 August 1975
 Bibcode:
 1975ceht.confR....B
 Keywords:

 Conductive Heat Transfer;
 Finite Difference Theory;
 Thermal Radiation;
 Wave Propagation;
 Adiabatic Conditions;
 Boundary Value Problems;
 Composite Structures;
 Computer Programs;
 Green'S Functions;
 Heat Sources;
 Matrices (Mathematics);
 Periodic Variations;
 Surface Temperature;
 Temperature Distribution;
 Thermal Diffusivity;
 Thermodynamics;
 Fluid Mechanics and Heat Transfer