Abstract
This paper is concerned with the flow of two immiscible, viscous, incompressible, and electrically conducting fluids in a horizontal channel containing a porous material under an inclined magnetic field. The flow is propelled by a consistent pressure gradient. These two fluids have different viscosities in two separate layers of equal width. The fluid in the upper layer has a lower viscosity compared to the fluid in the lower layer. The Permeability of a porous medium is variable with the transverse direction. The Brinkman equation is employed to describe fluid flow within a porous medium. Numerical solutions for velocity and volumetric flow rate are derived using the finite difference method, employing well-known boundary conditions. The impact of different parameters such as the Hartmann number, permeability parameter, viscosity ratio parameter, etc., on the velocity profile and volumetric flow rate is presented graphically and discussed comprehensively.
Recommended Citation
Prasad, Angad and Singh, P. K.
(2024).
(R2097) Impact of Inclined Magnetic Field on Two Immiscible Viscous Fluids Flow in a Porous Channel with Variable Permeability: A Finite Difference Technique,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 19,
Iss.
2, Article 8.
Available at:
https://digitalcommons.pvamu.edu/aam/vol19/iss2/8