Accession Number:

AD0485307

Title:

MATHEMATICAL ANALYSIS OF HEAT CONDUCTION IN A SECTOR OF A HOLLOW CIRCULAR CYLINDER.

Descriptive Note:

Final rept. Mar 65-Jan 66,

Corporate Author:

MARTIN CO ORLANDO FL ENGINEERING RESEARCH MECHANICAL LAB

Personal Author(s):

• Torian, J. G.
• Murphy, V. T.

Report Date:

1966-04-01

Pagination or Media Count:

138.0

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.

Descriptors:

• (*PIPES
• THERMAL CONDUCTIVITY)
• (*CYLINDRICAL BODIES
• THERMAL CONDUCTIVITY)
• TEMPERATURE
• DISTRIBUTION
• THERMAL PROPERTIES
• PHYSICAL PROPERTIES
• MATHEMATICAL ANALYSIS
• NONLINEAR DIFFERENTIAL EQUATIONS
• DIFFERENTIAL EQUATIONS
• INTEGRAL TRANSFORMS
• COMPUTER PROGRAMMING
• THERMAL DIFFUSION
• BESSEL FUNCTIONS

Subject Categories:

• Pumps, Filters, Pipes, Tubing, Fittings and Valves
• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE