The effects of a source term and geometry on vessel-vessel and vessel-tissue Poisson conduction shape factors (VVPCSFs and VTPCSFs) are studied for uniformly heated, finite, non-insulated tissues for the ‘mixed case’ i.e., when the tissue boundary temperature lies in between the two vessel wall temperatures. In addition, two alternative formulations for the VTPCSFs are compared; while both formulations use the vessel wall temperature, one uses the tissue boundary temperature, and the other the area averaged tissue temperature. Results show that the VVPCSFs are only geometry dependent and do not depend on the applied power or the two vessel wall and tissue boundary temperatures. Conversely, the VTPCSFs are strong functions of these variables.
Poisson Conduction Shape Factors for “Mixed Case” Counter-Current Heat Transfer Applications
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Shrivastava, D, & Roemer, RB. "Poisson Conduction Shape Factors for “Mixed Case” Counter-Current Heat Transfer Applications." Proceedings of the ASME 2004 International Mechanical Engineering Congress and Exposition. Advances in Bioengineering. Anaheim, California, USA. November 13–19, 2004. pp. 79-82. ASME. https://doi.org/10.1115/IMECE2004-59773
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