The impact of porous medium on perpendicular curvy surface and temperature-dependent of variable viscosity on magnetohydrodynamics flow has been studied in this work. The equations of this research are dimensional non-linear partial differential equations, transformed into dimensionless partial differential equations, by using dimensionless form. The curvy  surface effect can be eliminated from the boundary conditions of  these dimensionless forms. The obtained equations can be solved numerically with finite difference method (fully implicit method). We obtained relations between Darcy number, viscosity parameter, Prandtl number, magnetic field, surface amplitude and their effect on velocity, temperature and Nusselt number.

The velocity increases with the decrease of Darcy number. In other words, the flow of fluid in porous medium depends directly on permittivity of medium and inversely depends on the fluid viscosity and distance covered within the undulating porous medium.

porous media, magnetic field, vertical curvy medium, Darcy number.

Received: May 10, 2024; Revised: June 15, 2024; Accepted: June 20, 2024 ; Published: June 28, 2024

How to cite this article: Rasha Adel, The influence of the Darcy number and magnetic field through vertical curvy medium, Advances and Applications in Fluid Mechanics 31(1) (2024), 39-61. https://doi.org/10.17654/0973468624003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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