The transient heat conduction from two parallel isothermal cylinders is studied using the naturally fit bipolar cylindrical coordinates system. The energy equation is expanded in a Fourier series using appropriate basis functions to eliminate one of the physical coordinates. The resulting modes of the expansion are solved using a finite difference scheme. It is shown that, as is the case with a single isothermal cylinder in an infinite medium, steady states for two isothermal cylinders are not possible and heat transfer changes indefinitely with time.
Transient Conduction From Parallel Isothermal Cylinders
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 3, 2011; final manuscript received July 23, 2012; published online October 10, 2012. Assoc. Editor: Patrick E. Phelan.
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Alassar, R. S. (October 10, 2012). "Transient Conduction From Parallel Isothermal Cylinders." ASME. J. Heat Transfer. December 2012; 134(12): 121301. https://doi.org/10.1115/1.4007312
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