Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines

Authors

  • Gbeminiyi Musibau Sobamowo University of Lagos, Akoka Lagos, Nigeria https://orcid.org/0000-0003-2402-1423
  • Ridwan Oladotun Olagbadamosi Lagos State University, Epe Campus, Lagos, Nigeria
  • Arinola Bola Ajayi University of Lagos, Akoka Lagos, Nigeria
  • Nehemiah Sabinus Alozie University of Lagos, Akoka Lagos, Nigeria https://orcid.org/0000-0002-3840-3804
  • Antonio Marcos de Oliveira Siqueira Federal University of Viçosa, Brazil https://orcid.org/0000-0001-9334-0394

DOI:

https://doi.org/10.18540/jcecvl8iss10pp14801-01i

Keywords:

Method of lines. Rectangular porous Fin. Nonlinear analysis. Numerical Investigation. Thermal studies.

Abstract

This paper demonstrated the computational efficiency and accuracy of method of lines for the nonlinear transient thermal response analysis of a radiative-radiative porous fin with temperature-dependent internal heat generation under the influence of magnetic fields.  To establish the computational accuracy of the method, the results of the solution are compared with the results of the developed exact analytical method. Also, the numerical solutions through the method of lines are adopted to explore the impacts of the model parameters on the performance of the passive device. It is found that as the conductive-convective, conductive-radiative, and magnetic field parameters increase, the fin temperature distribution in the fin decreases. The temperature distribution in the fin increases through the ?n as the nonlinear thermal conductivity parameter increases. It is hoped that the present study gives a good insight into the nonlinear analysis of the extended surface which will aid the proper design of the extended surfaces in thermal systems.

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Published

2022-11-16

How to Cite

Sobamowo, G. M., Olagbadamosi, R. O., Ajayi, A. B., Alozie, N. S., & Siqueira, A. M. de O. (2022). Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines. The Journal of Engineering and Exact Sciences, 8(10), 14801–01i. https://doi.org/10.18540/jcecvl8iss10pp14801-01i

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