HYDROMAGNETIC CONVECTION FLOW IN TWO IMMISCIBLE FLUIDS THROUGH A POROUS MEDIUM IN AN INCLINED ANNULUS

In this article, a fully developed steady hydromagnetic flow and mixed convection of two immiscible fluids driven by a constant pressure gradient through a porous medium in an inclined annulus at angle. with a horizontal axis are carried out numerically. The fluids streaming in the annular space between two concentric cylinders are non-Newtonian third-grade and viscous fluids. A uniform external magnetic field is exerted perpendicularly to the flow direction, and both fluids are electrically conducting. Darcy's law for viscous fluids and modified Darcy's law for third-grade fluids are employed to obtain the governing flow equations. The numerical solutions of transformed nonlinear ordinary differential equations are obtained via shooting method and are presented graphically in the form of velocity and temperature and discussed under the influence of associated flow parameters. The study reveals that the shear thickening property of the third-grade parameter has a decreasing effect on fluid velocity. Heat-generating parameters enhance fluid temperature; however, heat-absorbing parameters curtail the temperature of fluid.