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Thermal Sciences 2004. Proceedings of the ASME - ZSIS International Thermal Science Seminar II
June, 13-16, 2004, Bled, Slovenia

DOI: 10.1615/ICHMT.2004.IntThermSciSemin


ISBN Print: 978-9-61913-930-1

THE GALERKIN METHOD SOLUTION OF THE CONJUGATE HEAT TRANSFER PROBLEMS FOR THE CROSS-FLOW CONDITIONS

pages 951-957
DOI: 10.1615/ICHMT.2004.IntThermSciSemin.1210
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RESUMO

A conjugate heat transfer model of fluid flow across a solid heat conducting structure is built. Two examples are presented: a.) air-stream cooling of the solid structure and b.) flow across rods with volumetric heat generation. To construct the model, a Volume Average Technique (VAT) is applied to the momentum and energy transport equations for a fluid and a solid phase to develop a specific form of porous media flow equations. The model equations are solved with the semi-analytical Galerkin method.
The detailed velocity and temperature fields in the fluid flow and the solid structure are obtained. Using the solution fields, the whole-section drag coefficient Cd and the whole-section Nusselt number Nu are also calculated. To validate the developed solution procedure, the results are compared to the results of the finite volume method and the experimental data. The comparison shows an excellent agreement.

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