MHD natural convection in an inclined square porous cavity with a heat conducting solid block

• Published in: Journal of magnetism and magnetic materials Vol. 426; pp. 351 - 360
• Main Authors: Sivaraj, C., Sheremet, M.A.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15.03.2017; Elsevier BV
• Subjects: Adiabatic flow; Convective heat transfer; Finite volume method; Hartmann number; Heat conductivity; Heat transfer; Heat transmission; Inclination; Inclined porous cavity; Magnetic fields; Magnetohydrodynamics; MHD free convection; Numerical simulation; Partial differential equations; Studies; Temperature; Finite volume method; Numerical simulation; Inclined porous cavity; MHD free convection
• ISSN: 0304-8853; 1873-4766
• DOI: 10.1016/j.jmmm.2016.11.112

This paper deals with natural convection in an inclined porous cavity with a heat conducting solid body placed at its center under the influence of the applied magnetic field of different orientations. The left and right vertical walls of the cavity are maintained at different temperatures Th and Tc, respectively, while the horizontal walls are adiabatic. The governing coupled partial differential equations were solved using a finite volume method on a uniformly staggered grid system. The effects of the inclination angles of the magnetic field and cavity and the Hartmann number on the flow and thermal fields are investigated in detail. Numerical results are presented in terms of isotherms, streamlines and average Nusselt numbers. In general, the results indicate that the inclusion of the magnetic field reduces the convective heat transfer rate in the cavity. It is also found that an increase in the angle of the applied magnetic field produces a non-linear variation in the average Nusselt numbers. •MHD natural convection in an tilted porous cavity with a centered solid block is analyzed.•The finite volume method with SIMPLE algorithm is used to solve the dimensionless governing equations.•Magnetic field dampens the buoyancy induced fluid motion and the heat transfer rates in the cavity.•The average Nusselt number is a decreasing function of Hartmann number and non-monotonic function of inclination angles.