In the present work, the effects of the longitudinal magnetic field and the heat source size
on natural convection heat transfer through a tilted sinusoidal corrugated enclosure for different
values of enclosure inclination angles are analyzed and solved numerically by using
the finite volume technique based on body fitted control volumes with a collected variable
arrangement. A constant heat flux source is discretely embedded at the central part of the
bottom wall whereas the remaining parts of the bottom wall and the upper wall are assumed
adiabatic, and two vertical sinusoidal corrugated walls are maintained at a constant
low temperature. The range of the variable parameters considered in the present analysis
is as follows: the enclosure inclination angle is varied from 0° to 135°, the ratio of the
size of the heating element to enclosure width varied from 20 to 80% of enclosure reference
length, Hartmann number is varied from 0 to 100, and Rayleigh number varied from
103 to 106. Liquid gallium with constant Prandtl number (0.02) is used as a working fluid
with constant properties except the density. The obtained results indicated that streamlines
are affected strongly by the magnetic field especially for small values of inclination
angle (? = 0°) and Rayleigh number (Ra = 103–106). The