Mathematical Analysis of Heat Conduction in a Sector of a Hollow Circular Cylinder
Report Number: AFFDL TR 66-16
Author(s): None Given
Corporate Author(s): Martin Company
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1966-04
Pages: 150
Contract: AF 33)615)-2385
DoD Project: 1467
Identifier: AD0485307
Abstract:
The temperature distribution within a sector of a hollow circular cylinder with temperature dependent thermophysical properties was analyzed based on exact mathematical solution. The subject nonlinear differential equation was reduced to a linear differential equation by an integral transform and with the assumption that only the thermal conductivity is a function of temperature whereas the thermal diffusivity remains constant. The solution was programmed in FORTRAN 4 for application to an IBM 7094. In addition, a successive transform applicable to the solution of similar problems involving temperature dependent thermal diffusivity is illustrated and discussed.
Provenance: Lockheed Martin Missiles & Fire Control
Author(s): None Given
Corporate Author(s): Martin Company
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1966-04
Pages: 150
Contract: AF 33)615)-2385
DoD Project: 1467
Identifier: AD0485307
Abstract:
The temperature distribution within a sector of a hollow circular cylinder with temperature dependent thermophysical properties was analyzed based on exact mathematical solution. The subject nonlinear differential equation was reduced to a linear differential equation by an integral transform and with the assumption that only the thermal conductivity is a function of temperature whereas the thermal diffusivity remains constant. The solution was programmed in FORTRAN 4 for application to an IBM 7094. In addition, a successive transform applicable to the solution of similar problems involving temperature dependent thermal diffusivity is illustrated and discussed.
Provenance: Lockheed Martin Missiles & Fire Control