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 : APR 1966

Pagination or Media Count : 138

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 & Vlvs
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE