The Effect of Presence of Permeable Media on Natural Convection Flow of MHD Along an Upward Wavy Surface

Abstract The natural convection flow over the vertical wavy surface in permeable media of viscous incompressible fluid with thermal conductivity has been investigated. The governing boundary layer equations are transformed into a non-dimensional form using a suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations is solved numerically employing the finite difference, known as the fully implicitmethod. The numerical results for velocity u, temperature θ, Nusselt number Nu for different magnitudes of magnetic field parameter M, Prandtl number Pr, inverse Darcy number\(D{a^{ - 1}}\), surface amplitude a, thermal conductivity variation parameter γ, and heat generation parameter Q.