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A Study on the Effects of Internal Heat Generation on the Thermal Performance of Solid and Porous Fins using Differential Transformation Method

Authors

  • M. G. Sobamowo Email Department of Mechanical Engineering, University of Lagos, Akoka, Lagos State, Nigeria
  • O. A. Adedibu Department of System Engineering, University of Lagos, Akoka, Lagos State, Nigeria
  • O. A. Adeleye Department of Electrical Engineering, The Polytechnic, Ibadan, Oyo State, Nigeria
  • A. O. Adesina Department of Mechanical Engineering, University of Lagos, Akoka, Lagos State, Nigeria

DOI:

https://doi.org/10.30564/ssid.v2i1.1888
Received: 14 May 2020 | Published Online: 18 August 2020

Abstract

In this study, the impacts of internal heat generation on heat transfer en
hancement of porous fin is theoretical investigated using differential trans
form method. The parametric studies reveal that porosity enhances the fin
heat dissipating capacity but the internal heat generation decreases the heat
enhancement capacity of extended surface. Also, it is established that when
the internal heat parameter increases to some certain values, some negative
effects are recorded where the fin stores heat rather than dissipating it. This
scenario defeats the prime purpose of the cooling fin. Additionally, it is es
tablished in the present study that the limiting value of porosity parameter
for thermal stability for the passive device increases as internal heat pa
rameter increases. This shows that although the internal heat parameter can
help assist higher range and value of thermal stability of the fin, it produces
negative effect which greatly defeats the ultimate purpose of the fin. The
results in the work will help in fin design for industrial applications where
internal heat generation is involved.

Keywords:

Thermal analysis, Solid and porous fins, Thermal performance, Temperature-dependent internal heat generation, Differential transformation method

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