Heat absorption/generation effect on MHD heat transfer fluid flow along a stretching cylinder with a porous medium

The current study reveals the impact of MHD heat transfer properties of an incompress-ible viscous fluid were numerically solved across a continuously expanding horizontal cylinder immersed in a porous material in the existence of internal heat production/sink. The partial differ-ential equations which govern the fluid flow with boundary constraints were converted to a collec-tion of non-linear ODE's with the aid of similarity variables and then numerically solved by using Keller-Box approach. The components of fluid velocity, temperature, as well as friction factor, and rate of heat transfer were all calculated numerically. Graphs and tables illustrate the fluid velocity and heat transfer properties for several Prandtl numbers, and magnetic parameters. The main goal of the current findings is to examine how the magnetic field M, Pr, and the heat absorption/gener-ation factor Q influence the velocity and temperature gradients along a stretching cylinder. It is pro-jected that the rise in the curvature parameter and the porosity factor would contribute to the enhancement of the temperature gradient in the boundary layer area around the cylinder. (c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

This study numerically investigates the magnetohydrodynamic (MHD) heat transfer properties of an incompressible viscous fluid across a continuously expanding horizontal cylinder immersed in a porous material with internal heat production/sink. The governing partial differential equations are transformed into a collection of non-linear ordinary differential equations (ODEs) using similarity variables and numerically solved using the Keller-Box approach. The fluid velocity, temperature, friction factor, and rate of heat transfer are calculated. Graphs and tables illustrate the fluid velocity and heat transfer properties for various Prandtl numbers and magnetic parameters. The study aims to examine the effects of the magnetic field (M), Prandtl number (Pr), and heat absorption/generation factor (Q) on the velocity and temperature gradients along a stretching cylinder. It is projected that an increase in the curvature parameter and porosity factor enhances the temperature gradient in the boundary layer region around the cylinder.