Magnetohydrodynamics Flow and Heat Transfer Around a Solid Cylinder Wrapped With a Porous Ring

Abstract

The problem of the effect of an external magnetic field on fluid flow and heat transfer characteristics is relevant to several physical phenomena. In this paper, flow and heat transfer of an electrically-conductive fluid around a cylinder, wrapped with a porous ring and under the influence of a magnetic field, is studied numerically. The ranges of the Stuart (N), Reynolds (Re.), and Darcy fDaj numbers are 0-7, 1-40, and IO'^-1O~', respectively. The Darcy-Brinkman-Eorchheimer model was used for simulating flow in the porous layer. The governing equations provide a coupling between flow and magnetic fields. The governing equations, together with the relevant boundary conditions, are solved numerically using the finite-volume method (EVM). The effect of the Stuart, Reynolds, and Darcy numbers on the flow patterns and heat transfer rate are explored. Einally, two empirical equations f^or the average Nusselt number were suggested, in which the effect of a magnetic field and the Darcy numbers are taken into account. It was found that in the presence of a magnetic field, the drag coefficient and the critical radius of the insulation increases, while the wake length and Nusselt number decrease.

Effect of fluid-porous interface conditions on steady flow around and through a porous circular cylinder

“…In this study, heat was generated inside the porous cylinder. Also, Valipour et al (2014a) used the least square method (Rashidi et al, 2011(Rashidi et al, , 2014Jazebi and Rashidi, 2013) and presented two equations for the average Nusselt number. Some researchers used SJ boundary condition for modeling the flow at the interface between fluid and porous regions.…”

The effect of magnetic field on instabilities of heat transfer from an obstacle in a channel

“…Thus, the interaction between the induced magnetic field and the fluid is negligible compared with the interaction between the applied magnetic field and the fluid [35].…”

“…and N is called the Stuart number, which is the ratio of the electromagnetic force and the inertial force, expressed as [35]:…”

Control of Wake and Vortex Shedding Behind Solid Circular Obstacle by Magnetohydrodynamics

“…Governing equations (momentum and continuity equations) are derived to simulate this problem. The governing equations are made dimensionless by using the following dimensionless variables [7,8]:…”