Abstract
The thermal behaviour of fully wet porous trapezoidal profiled longitudinal fin structures in the presence of natural convection and radiation has been scrutinized in the present analysis. The rectangular and trapezoidal profiles have been comparatively analysed. The Darcyâs law has been incorporated to study the solid-fluid interactions. Further, the internal heat generation has been assumed to be a linear function of temperature. The obtained non-linear second order ordinary differential equation has been reduced and evaluated numerically. The impact of fully wet condition, porous nature, internal heat generation and other relevant parameters on the thermal profile and efficiency of trapezoidal and rectangular fin profiles has been interpreted graphically and discussed. It has been derived that the rectangular fin profile is more efficient than the trapezoidal profile.
Highlights
The fin, which is an extra surface attached to the primary surface, is significant in amplifying the cooling process
The thermal behaviour of fully wet porous trapezoidal profiled longitudinal fin structures in the presence of natural convection and radiation has been scrutinized in the present analysis
The constant value of the parameters considered for the study are: For trapezoidal profile has been considered in the present analysis
Summary
The fin, which is an extra surface attached to the primary surface, is significant in amplifying the cooling process. Porous fin is implemented to extend the surfaces of a system, resulting in effective heat transfer amplification. Kiwan and Al Nimr [9] provided a unique technique that uses porous fins to improve heat transmission from a given surface. Kiwan [10] explored the role of radiation heat transfer on a convective porous extended surface with respect to a vertical isothermal surface. The Darcy model was used by Gorla and Bakier [4] to examine the thermal performance of extended porous surface of rectangular profile. To solve a model representing heat transport in a radial porous fin, Jooma and Harley [6] used the CrankNicolson technique. MartinsCosta et al [13] used the Oberbeck–Boussinesq approximation with Darcy's law to scrutinize the thermal profile of a porous rectangular fin
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