Authors : Aly DIOUF; Omar Ngor THIAM; Oumar DRAME; Mamadou lamine SOW.
Volume/Issue : Volume 7 - 2022, Issue 12 - December
Google Scholar : https://bit.ly/3IIfn9N
Scribd : https://bit.ly/3COARRZ
DOI : https://doi.org/10.5281/zenodo.7542624
In this numerical simulation, we have proposed
to study the natural convection of air in a bounded domain
between two rectangular parallelepipeds of square straight
sections for a Rayleigh value Ra = 106
. The internal cavity
is subjected to a heat flow of constant density while the
external cavity is kept at a constant temperature. The air
fluid is subjected to a magnetic field oriented at an angle θ
= 45° with respect to the horizontal. To overcome the term
pressure in the equation of motion, we have used the
vorticity formalism as a function of current. The equations
obtained were discretized with the finite volume method
and were solved by the SIMPLE algorithm. The results
obtained through the commercial calculation code Ansys
Fluent, in the absence of the magnetic field, show us, for
isothermal lines, a stable flow which is manifested by high
and low temperatures and for current lines the formation
of two recirculation zones of high intensity and rotating in
opposite directions. When applying the magnetic field with
a Hartmann number Ha = 0.75, we have noted the
formation of four recirculation zones for current lines and
standardization for isothermal lines.
Keywords : Ansys Fluent; Convection; Hartmann; Rayleigh Number; Finite Volume.