Indian Journal of Industrial and Applied Mathematics
  • Year: 2026
  • Volume: 16
  • Issue: 1and2

Two-Dimensional MHD Flow of Steady / Unsteady Two-Phase Fluid Flow in Porous Channel in Frenet Frame Field

1Department of Supportive Requirements, Sciences and Mathematics Unit, University of Technology and Applied Sciences-Shinas, Al Batinah, Oman

2Department of Mathematics, Agra College, Agra, Uttar Pradesh, India

3Department of Mathematics, Agra College, Agra, Uttar Pradesh, India

*(Corresponding author) email id: devendra.kumar@utas.edu.om

**dr.srivastavark@gmail.com

***raj.johari.07@gmail.com

Abstract

The present paper is a two-dimensional MHD two-phase time-dependent/ independent flow in a porous channel in a Frenet field system in Euclidean space E3 in three dimensions. The flow patterns are observed in the analysis under various conditions following the decomposition of intrinsic equations. The nature of the flow patterns is observed in parabolic. Both cases of steady and unsteady are recorded in terms of discussions and conclusions. The graph plotting and discussions are made for gas density, particle density, intensity of magnetic field, and permeability.

Keywords

Dusty Fluid, Porous Medium, Frenet frame field, MHD Flow