Key words: Heat transfer; Natural convection; Non-Newtonian fluids; Numerical study; Square cavity.

Abstract: Study of buoyancy driven convection of thermo-dependent a shear-thinning power-law fluid confined in a square cavity, submitted to cross uniform heat fluxes is conducted numerically using a finite difference method. The combined effects of the ratio between the cross heat fluxes and the thermo-dependency parameter on the flow and thermal fields, and the resulting heat transfer are examined and discussed.