On wave solutions of the heat-conduction equation
Abstract
Some examples are presented of wave equations of a parabolic-type heat-conduction equation. Their incorrectness is demonstrated. Further the derivation is presented of the hyperbolic heat-conduction equation wherein the velocity of isotherm displacement along the normal is used as an experimental parameter. The above examples are analyzed on the basis of the heat-conduction equations of a hyperbolic type and their correctness is proved following Hadamard.
- Publication:
-
International Journal of Heat and Mass Transfer
- Pub Date:
- March 1976
- DOI:
- Bibcode:
- 1976IJHMT..19..245L
- Keywords:
-
- Conductive Heat Transfer;
- Hyperbolic Differential Equations;
- Thermodynamics;
- Wave Equations;
- Boundary Value Problems;
- Isothermal Processes;
- Parabolic Differential Equations;
- Fluid Mechanics and Heat Transfer