Accession Number : AD0655371

Title :   ON THE PROBLEM OF HEAT CONDUCTION IN A CONTINUOUS CYLINDER,

Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Kotlyar,S. M.

Report Date : APR 1967

Pagination or Media Count : 15

Abstract : The first part of this paper solves the problem of determining the axially symmetric, steady state temperature field T (r,z) in an infinite homogeneous and isotropic cylinder o < or = r < or = R, - infinity < Z < + infinity provided that there is thermal contact with a medium at prescribed temperature T sub zero (z) over the part r = R, zero temperature over the remaining part of the surface. The solution is obtained in the form of a Bessel-Fourier integral involving an auxiliary function which satisfied a Fredholm integral equation of the second kind. The following part of the paper deals with the analogous question for a finite circular cylinder. This solution appears in the form of a Bessel-Fourier series with an auxiliary function satisfying a Fredholm integral equation of the second kind. (Author)

Descriptors :   (*CYLINDRICAL BODIES, *THERMAL CONDUCTIVITY), BESSEL FUNCTIONS, FOURIER ANALYSIS, INTEGRAL EQUATIONS, SERIES(MATHEMATICS), SURFACE TEMPERATURE

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE