Patterned convection in inclined slots

An analysis of laminar natural convection in inclined slots subjected to patterned heating has been performed. The imposed takes a simple form characterized by single Fourier mode combined with uniform heating. It is shown that periodic applied at the lower plate produces no net flow when slot either horizontal or vertical, but upward generated tilted. Periodic upper downward situation. addition promotes while cooling opposite effect. There critical inclination angle which maximum rate greatest. Dynamic and thermal boundary layers are present wavenumber large. use both plates, same wavenumber, leads dominated exposed more intense heating; two plates heated equally observed irrespective angle. Changes relative positions patterns can change up 50 %. intensity increases reduction Prandtl number. If different wavelength, intensity, wide range behaviours system possible. details this response sensitive ratio wavenumbers.