Authors :
Aly DIOUF; Oumar DRAME; Omar Ngor THIAM; Cheikh MBOW; Mamadou lamine SOW
Volume/Issue :
Volume 8 - 2023, Issue 2 - February
Google Scholar :
https://bit.ly/3IIfn9N
Scribd :
https://bit.ly/3YZXjAi
DOI :
https://doi.org/10.5281/zenodo.7649278
Abstract :
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.
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.
