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This paper presents the results of a numerical study on the heat transfer performance and the removal process of fluid particles under the influence of magnetohydrodynamic mixed convection in a horizontal channel with an open cavity. The bottom wall of the cavity is heated at a constant temperature (Th) while the top wall of the channel is maintained at a relatively low temperature (Tc). Air with a uniform velocity (u0) and temperature (Tc) is introduced to the channel. The analysis is carried out for a range of values of the Grashof number (103≤Gr≤106), the Reynolds number (1≤Re≤100), and the Hartmann number (0≤Ha≤100).The results show that the heat transfer rate increases as the Grashof number increases and decreases as the Reynolds and Hartmann numbers increase. It is also shown that the removal process accelerates as the Grashof number increases and, however, decelerates as the Reynolds and Hartmann numbers increase.