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The problem of thermal convection in a horizontal uid-saturated porous layer is examined, where the ow is governed by the Brinkman extension of Darcy's law. A uniform internal heat source and vertical through ow are also considered. The linear and nonlinear stability analyses are performed in order to determine the stability characteristics of the system. The linear and nonlinear thresholds give good agreement in the absence of vertical through ow. However, it is shown that there are potential regions of sub-critical instabilities for increasing values of internal heat source parameter Q, Péclet number P e and Darcy number Da.