Semi-analytical and numerical investigation of a fully wet porous moving longitudinal fin exposed to a magnetic field with radiation and temperature-dependent thermal conductivity

Abstract

ABSTRACT This article focuses on the thermal analysis of a fractional-order moving fin subjected to a magnetic field, specifically investigating natural convection and radiation effects. This research introduces a novel approach that combines the domains of both Homotopy perturbation and Sumudu transform techniques to tackle a previously uninvestigated issue related to a moving fin with thermal conductivity dependent on temperature. While previous research papers have utilised the Homotopy Perturbation Sumudu Transform Method (HPSTM) to derive analytical solutions for fins with temperature-dependent thermal conductivity, our current study employs the HPSTM to address a fractional-order problem associated with a moving fin. Through a comparison with numerical results, the present study has validated the dependability of its findings. The dimensionless temperature profile has been investigated by studying its relationship with several parameters. We found that as the value of the wet porous parameter raises by 400%, there is an 11.794% decrease in temperature of the fin and as the value of Hartman number increases by 400%, temperature of the fin has decreased by 14.196%. Furthermore, the efficiency of the fin by analysing graphical representations across various parameters. This study encourages the application of the Homotopy perturbation Sumudu transform technique in more complex fin problems.