Radiating extended surfaces are generally used to reinforce heat transfer between a primary surface and its environment. Specifically, if great temperature contrasts are taken into account, variable thermal conductivity materially affects the performance of the system. Thus the present numerical study is concerned with the thermal performance of a straight porous fi n under the influence of temperature-dependent thermal conductivity, magnetic field, and radiation. The heat transfer model, which includes the Darcy law for simulating flow with solid–fluid interactions in a porous medium, the Rosseland approximation for heat transfer through radiation, the Maxwell equations for the magnetic field effect, and linearly varying temperature-dependent thermal conductivity, results in a highly nonlinear ordinary differential equation solved with using the finite-difference scheme with suitable boundary conditions. The obtained solutions are interpreted physically by considering the impact of relevant nondimensional parameters on the thermal performance, efficiency, and effectiveness of the system. It follows from the analysis that the temperature-dependent thermal conductivity improves these characteristics.
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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 2, pp. 335–349, March–April, 2022.
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Babitha, Madhurab, K.R. Analysis of Thermal Performance, Efficiency, and Effectiveness of a Straight Porous Fin with Variable Thermal Conductivity. J Eng Phys Thermophy 95, 392–401 (2022). https://doi.org/10.1007/s10891-022-02493-z
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DOI: https://doi.org/10.1007/s10891-022-02493-z