Journal of Computational Applied Mechanics

Investigation of Darcy-Forchheimer Magnetohydrodynamic Casson Fluid Flow over a Nonlinear Permeable Stretching Sheet with Temperature-Reliant Viscosity

Document Type : Research Paper

Authors

1 Department of Mathematical & Physical Sciences, University of Nizwa, Oman

2 Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India

3 Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, 171005, India

Abstract

This examination numerically inspects the influences of key factors on the flow and heat transmission of a Casson fluid over a nonlinearly stretching sheet in a permeable medium, considering inconstant viscosity and a magnetic field. The boundary-layer equations were cracked applying the Runge–Kutta technique, with results confirmed by MATLAB’s bvp5c solver and validated against published data. Results show that velocity rises with higher Prandtl number and the nonlinear factor of the stretching sheet but drops with higher porosity factor, Forchheimer number, Casson factor, magnetic field factor, and viscosity variation factor. Temperature declines with Prandtl number and the nonlinear factor of the stretching sheet but enlargements with other parameters. The nonlinear factor of the stretching sheet boosts skin friction and heat transmission, whereas higher porosity factor, Forchheimer number, viscosity variation factor, magnetic field factor, and Casson factor lessen them. The findings offer insight into the mutual effects of non-Newtonian performance, magnetic field, and permeable media on boundary layer flow and thermal transportation.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 57, Issue 2
April 2026
Pages 275-295
  • Receive Date: 27 December 2025
  • Revise Date: 31 December 2025
  • Accept Date: 01 January 2026