MATHEMATICAL ANALYSIS OF HEAT CONDUCTION IN A SECTOR OF A HOLLOW CIRCULAR CYLINDER.
Final rept. Mar 65-Jan 66,
MARTIN CO ORLANDO FL ENGINEERING RESEARCH MECHANICAL LAB
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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.
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