Laminar natural convection of power-law fluids in a square enclosure with differentially heated side walls subjected to constant temperatures

► Natural convection of power law fluids in square enclosures. ► Scaling analysis showing how mean Nusselt number is expected to vary with Prandtl and Rayleigh number. ► Numerical simulations supporting scaling arguments. ► New correlations proposed for variation of mean Nusselt number with Prandtl and Rayleigh numbers for power-law non-Newtonian fluids.