ON THE PROBLEM OF HEAT CONDUCTION IN A CONTINUOUS CYLINDER,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1967
- Accession Number
- AD0655371
Entities
People
- S. M. Kotlyar
Organizations
- Air Force Research Laboratory