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Conjugate heat transfer for free convection along a vertical plate fin

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Abstract

In this study, a new and effective improved Semi-Analytic and Semi-Empirical formula f(Pr)= {ie337-1} has been proposed to solve a conjugate problem with free convection in the incompressible laminar boundary layer flow and heat conduction in a solid wall for the flow passing a flat plate fin. A combination of flat-plate flow and flat-plate fin heat conduction has been considered in the present study. Finite-difference solutions for the interface temperature profiles and the heat transfer rates have been presented over the entire thermo-fluid-dynamic field for Prandtl numbers from 0.001 to 10000. First, the similar flow field has been solved by the Runge-Kutta method and the shooting methods, then the correlation equation of the local heat transfer coefficient have been obtained. Finally, the empirical formula has been substituted into the fin temperature heat conduction calculation processes to obtain the iterative solutions of the conjugate problems.

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  1. Department of Digital Entertainment and Game Design, Diwan University, 87-1, Nansh Li, Madou Jen, Tainan, Taiwan, China

    Kai-Long Hsiao

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Hsiao, KL. Conjugate heat transfer for free convection along a vertical plate fin. J. Therm. Sci. 19, 337–345 (2010). https://doi.org/10.1007/s11630-010-0392-y

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  • DOI: https://doi.org/10.1007/s11630-010-0392-y

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