The effect of applying the magnetic field on the mixed convection heat transfer in a ventilated square cavity filled with base fluid (water) has been investigated numerically. The upper wall of presented cavity was held at constant temperature and the bottom one was at constant heat flux. The right and left walls are adiabatic. An external flow enters the cavity through a port in left vertical wall and leaves through right one. The governing equations were discretized by a finite volume method and solved with SIMPLE algorithm. In this article, the effects of the Richardson number and Hartmann number parameters on the fluid flow and heat transfer rate have been examined. The obtained results showed that the heat transfer rate decreases with an increase of the Hartmann number.

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