ON THE LIMITING FORM OF THE EQUATION
OF ANISOTROPIC HEAT CONDUCTION IN A ROD

A. I. Moshinskii

UDC 53.01

The paper considers the problem of the asymptotically 
substantiated reduction of the three-dimensional, in coordinates, 
equation describing the process of heat propagation in an anisotropic 
material to a one-dimensional equation. As a heat-transfer region, 
a cylindrical rod of an arbitrary cross section was taken. It is assumed 
that the matrix of thermal diffusivity coefficients depends on the 
spatial coordinates. In the constructed equivalent heat-conduction 
equation, a certain effective heat-transfer coefficient is represented 
and formulas for its calculation have been obtained. Examples of the 
calculation have been considered.

Russian Scientific Center "Applied Chemistry," St. Petersburg, 
Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 76, No. 
4, pp. 156-163, July-August, 2003. Original article submitted 
December 17, 2002.