The main objective of this paper is to study numerically a two-dimensional, steady and laminar viscous
incompressible magneto-hydrodynamic (MHD) natural convection flow in a sinusoidal corrugated inclined
enclosure. In this analysis, two sinusoidal corrugated side walls are maintained at a constant low temperature
whereas a constant heat flux source whose length is varied from 20% to 80% of the total length of the enclosure is
discretely embedded at the bottom wall. The finite volume method has been used to solve the governing Navier-
Stokes and energy conservation equations of the fluid medium in the enclosure in order to investigate the effects of
the variation of inclination angles, the presence of a longitudinal magnetic field and different discrete heat source
size ratios on heat transfer process for different values of Rayleigh and Hartmann numbers. Results are presented in
the form of streamline and isotherm plots. It is concluded that the average Nusselt number increases as the heat
surface length decreases and vice versa, while the enclosure inclination angle has a clear effect on the heat transfer
process for low heat source lengths in case of low buoyancy and magnetic effects. The dominance of Hartmann
number is found to be significant with the purpose of reducing heat transfer process as well as minimizing the
influence of inclination angles at low Rayleigh number.