A Study of Diverging Rectangular Fins with Temperature-Dependent Thermal Conduction Using Homotopy Perturbation Method
[1]
Memoona Yaqub, Department of Mathematics, Allama Iqbal Open University, Islamabad, Pakistan.
[2]
Kamran Ayub, Department of Mathematics, Riphah International University, Islamabad, Pakistan.
[3]
Faiza Yasmeen, Department of Mathematics, University of Wah, Wah Cantt., Pakistan.
[4]
Munaza Saeed, Department of Mathematics, University of Wah, Wah Cantt., Pakistan.
[5]
Qazi Mahmood Ul-Hassan, Department of Mathematics, University of Wah, Wah Cantt., Pakistan.
Radiating extended surfaces are widely used to enhance heat transfer between primary surface and the environment. The performance of such a surface is significantly affected by variable thermal conductivity, particularly in the case of large temperature differences. In this study, we used the homotopy perturbation method (HPM) to determine the optimum dimensions of radiating rectangular fins with temperature-dependent thermal conductivity for a fixed fin volume. In this method, the solution does calculated in the form of a convergent series along with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions or perturbation theory.
Homotopy Perturbation Method (HPM), Rectangular Fins, Variable Thermal Conductivity, Maple 18
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