A RELIABLE NUMERICAL ALGORITHM FOR TREATMENT OF FRACTIONAL MODEL OF CONVECTIVE STRAIGHT FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY

Jagdev Singh, Jitendra Kumar (), Devendra Kumar () and Obaid Algahtani
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Jagdev Singh: Department of Mathematics, JECRC University, Jaipur, 303905 Rajasthan, India†Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Jitendra Kumar: Department of Mathematics, JECRC University, Jaipur, 303905 Rajasthan, India
Devendra Kumar: ��Department of Mathematics, University of Rajasthan, Jaipur, 302004 Rajasthan, India
Obaid Algahtani: �Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia

FRACTALS (fractals), 2024, vol. 32, issue 07n08, 1-10

Abstract: Fins serve the purpose of enhancing heat transfer between their surroundings and the underlying surface, resembling the function of heat exchangers in various scientific domains. This research undertakes an investigation into the temperature distribution within convective straight fins, considering the impact of both constant and thermally conductive temperature-dependent properties. The chosen approach utilizes a numerical technique known as the Laguerre operational matrix collocation method, which relies on the Laguerre operational matrix and Laguerre collocation method for Caputo fractional derivatives of arbitrary orders. This methodology effectively converts the issue into a set of nonlinear algebraic equations (NLAEs). To evaluate this arbitrary order model, we employed the collocation method to obtain an approximate solution. The numerical results obtained through this approach demonstrate its ease of application and computational efficiency. In addition, we performed a comparative analysis with the Homotopy Perturbation Sumudu Transform Method (HPSTM) and the Variational Iteration Method (VIM). The numerical and graphical presentation of the results underscores the efficacy and precision of the methodologies employed within the scope of this investigation.

Keywords: Straight Fin; Thermal Conductivity; Operational Matrix of Caputo Differentiation; Laguerre Collocation Method (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400462

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