Al-Qadisiyah Journal for Engineering Sciences

Insights of Joule heating and chemical reaction effects on Casson-Williamson fluid in a thermally active Darcy–Forchheimer medium

Document Type : Research Paper

Authors

Vardireddy Sujatha 1
Wuriti Sridhar 1
Mohammed Abu-Ghurban 2
Ganugapati R. Ganesh 3
G. Dharmaiah 4

1 Department of Mathematics, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Guntur, 522302, India.

2 College of Technical Engineering, Imam Ja’afar Al-Sadiq University, Al-Muthanna, 66001, Iraq.

3 Department of Mathematics, PVP Siddhartha Institute of Technology, Kanuru, Vijayawada, A.P.520007, India.

4 Department of Mathematics, Vasireddy Venkatadri International Technological University, Uppalapadu, Nambur, Guntur, A.P. 522508, India.

10.30772/qjes.2025.165491.1749
Abstract
This work examines the two-dimensional continuous flow of a Casson-Williamson fluid over a stretched surface under a Darcy-Forchheimer permeable medium. Several elements can affect the flow, including Joule heating, radiation, chemical reactions, thermal sources, electric field influences, and magnetic field influences. Nonlinear partial differential equations articulate the fundamental equations governing the system's dynamics in this physical model. We simplify these equations to a system of nonlinear ordinary differential equations by applying requisite changes. The Keller Box technique is utilized to simplify this collection of ordinary differential equations. Velocity, temperature and concentration graphs are plotted. The velocity profiles decline with a rise in the Casson parameter, magnetic parameter, porous parameter, Weissenberg number, and velocity slip parameter. Still, the electric field parameter diminishes when the speed slip constraint is enhanced. This study primarily examines several local properties, including the skin resistance coefficient, the Nusselt number, and the Sherwood numbers. We compare our results with the current literature by computing the skin friction coefficient for different inputs of the Casson factor. Prior studies have yielded results that are fairly congruent with this one.

Keywords

Joule heating
Radiation
Chemical reaction
Porous media
Heat source
Darcy-Forchheimer media
Crossmark
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Al-Qadisiyah Journal for Engineering Sciences
Volume 19, Issue 1
Winter 2026
Pages 153-163

  • Receive Date 24 September 2025
  • Revise Date 14 December 2025
  • Accept Date 23 March 2026

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