Magnetohydrodynamic mixed convection of nanofluid within an annular space filled partially with a porous layer between a lid-driven wall and a discrete heater

Abstract

Heat and mass transfer inside a partially porous medium is a complex coupling process in which the interface boundary conditions between free and porous space are critical for a wide range of engineering applications, including natural and engineered fractures in oil and gas extraction. In this study, we looked into the numerical simulation of magnetohydrodynamic mixed convection of nanofluid in an annular partially porous space between two coaxial cylinders with a permeable interface, in which we investigated the contribution of the interface in order to better understand the heat transfer processes. The inner cylinder is subjected to a discrete uniform heat flux, while the external cylinder is kept at a uniform cold temperature and moving at a constant speed. The base walls are designed to be impermeable and insulated. A finite difference-based vorticity-stream function method is used to solve the nonlinear coupled conservation equations using the Successive Over Relaxation approach (SOR). The acquired numerical results in terms of streamlines, isotherms, and Nusselt numbers are shown to demonstrate the effect of various control factors such as the Rayleigh number, Darcy number, Hartmann number, Reynold number, nanoparticle concentration, and the direction of the outer wall. The results of this numerical simulation show that the upward or downward direction of the wall under these control factors plays an important role in improving the rate of heat transfer or replacing the magnetic effect by limiting and controlling heat transfer

Keywords:

• Finite difference method
• lid driven
• magnetohydrodynamic
• mixed convection
• nanofluid
• porous medium

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.