A transformation is presented that enables the center temperature of a cylinder to be expressed in terms of an integral of the peripheral temperature distribution for heat conduction with space-dependent thermal conductivity. Its predictions agree with exact answers and with numerical solutions obtained with finite difference methods for four test cases. The new result can be applied to a two-dimensional floating random-walk Monte Carlo procedure which previously was restricted to the case of constant thermal conductivity.
The Effect of Space-Dependent Thermal Conductivity on the Steady Central Temperature of a Cylinder
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division September 25, 2000; revision received July 10, 2001. Associate Editor: D. B. R. Kenning.
Burmeister , L. C. (July 10, 2001). "The Effect of Space-Dependent Thermal Conductivity on the Steady Central Temperature of a Cylinder ." ASME. J. Heat Transfer. February 2002; 124(1): 195–197. https://doi.org/10.1115/1.1418701
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