Thermal convection in a vertical porous slot with spatially periodic boundary temperatures: low Ra flow

This note considers steady two-dimensional thermal convection in a porous layer between two infinite-vertical walls kept at spatially periodic temperatures. The spatial non-uniformities of the temperature distributions are assumed to be small, and an analytical solution is found. The effects of the wave number and the phase difference of the wall temperatures on the flow are investigated. Maximum heat transfer occurs at the wave number of 1.606 and a phase difference of (pi)/2.