Abstract
The aim of the present numerical simulation is to investigate the unsteady Marangoni natural convection of an electrically conducting fluid in an open partitioned enclosure in the presence of uniform magnetic field. The adiabatic baffle is attached in the bottom wall of the enclosure with different lengths. The left sidewall is maintained at a higher temperature and the right sidewall is maintained with lower temperature. The top and bottom walls of the enclosure are adiabatic. The governing equations are discretized by finite volume method and they are solved iteratively for different combinations of the Marangoni number, Hartmann number and baffle length. The obtained numerical results are presented graphically in terms of streamlines, isotherms, and average Nusselt number. The heat transfer rate increases on increasing the Marangoni number and Grashof number, whereas it decreases on increasing the Hartmann number.