Abstract
We examine resonant flow of fluid in porous media over a variable gravity. A heat source/sink which varies with height has been investigated. In this case, it is shown that there are three distinct sub-layers that can cause convective overturning instability. The possibility of resonance between the motion in these layers is discussed. A specific area that has a very rapid increase in Rayleigh number is noticed. In addition to a linear theory, the nonlinear stability theory is studied. To verify the reliability of the linear instability limits, a three dimensional approximation is used.
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