Use of a hyperbolic equation in thermalconductivity theory
Abstract
Features of solutions of the classical heat conduction equation are examined, and one solution of the telegraph equation is derived. A paradox of the heat conduction equation involves the apparent instantaneous propagation of the temperature inhomogeneity; this paradox is considered. The telegraph solution which is presented is close to a selfsimilar solution. The approach leads to a generalization of the Poisson integral for the classical heat conduction equation.
 Publication:

Inzhenerno Fizicheskii Zhurnal
 Pub Date:
 December 1977
 Bibcode:
 1977InFiZ..33.1131B
 Keywords:

 Conductive Heat Transfer;
 Hyperbolic Differential Equations;
 Thermal Conductivity;
 Poisson Equation;
 Similarity Theorem;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer