CFD Modeling of Natural Air Convection for a Rayleigh Number Ra = 104 in the Presence of a Magnetic Field

Authors : Aly DIOUF; Oumar DRAME; Omar Ngor THIAM; Cheikh MBOW; Mamadou lamine SOW

Volume/Issue : Volume 8 - 2023, Issue 2 - February

Google Scholar :

Scribd :


In this numerical simulation, we have studied the natural convection of air under the influence of a magnetic field of Hartmann number Ha = 0.1 for a value of the Rayleigh number Ra = 104. The air fluid is confined between two rectangular parallelepipeds of square straight sections whose internal cavity is subjected to a heat flow of constant density and the external cavity is at constant temperature. We have applied the vorticity current function formalism to get rid of the pressure gradient in the equation of motion because the fundamental element of natural convection is the Rayleigh number. Without a magnetic field, we notice, for isothermal lines, a loosening of cells and formation of a peak in the middle of the upper internal cavity while for current lines, we have two cellular areas of opposite direction that tend to approach towards the middle of the cavity. As soon as the magnetic field is applied for a Hartmann number Ha = 0.1, we will see thermal and dynamic changes causing the formation of four recirculation zones for the current lines and a standardization of the temperature for the isotherms. To see the interaction between the wall and the fluid, we have studied the behavior of parietal quantities such as the Nusselt number and the coefficient of friction.

Keywords : Ansys Fluent; Convection; Finite Volume; Magnetic Field.


Paper Submission Last Date
29 - February - 2024

Paper Review Notification
In 1-2 Days

Paper Publishing
In 2-3 Days

Video Explanation for Published paper

Never miss an update from Papermashup

Get notified about the latest tutorials and downloads.

Subscribe by Email

Get alerts directly into your inbox after each post and stay updated.

Subscribe by RSS

Add our RSS to your feedreader to get regular updates from us.