The numerical model consists in a two-dimensional square cavity with side equal to
H which represents the characteristic dimension of the problem (
Fig. 6.39A)
[14]. The heat source is centrally located on the bottom surface and its length 1 varied from 2/5 to 4/5 of
H; the ratio 1/
H is called
ɛ. The cooling is achieved by the two vertical walls. The heat source has a temperature
Th, while the cooling walls have a temperature
Tc; all the other surfaces are adiabatic (
Th >
Tc). Also, it is also assumed that the uniform magnetic field (
) of constant magnitude
is applied, where
and
are unit ...