Thermo-Solutal Convection of Carreau-Yasuda Non-Newtonian Fluids in Inclined Square Cavities Under Dufour and Soret Impacts

Abstract

The thermosolutal convection of non-Newtonian fluids under Soret and Dufour influences within an inclined square enclosure is explored. The active walls are subject to constant and uniform concentrations and temperatures. On the other hand, they are impermeable and adiabatic. A Carreau-Yasuda model is utilized to determine the fluid behavior. A special attention is paid to the impact of rheological parameters (??, ??, ?? and ??), the thermal Rayleigh number ??????, Dufour number, ????, Soret number, ????, Lewis number, ????, buoyancy ratio, ??, and the inclination angel, ??. The numerical findings are represented in terms thermal fields, iso-concentration, and viscosity apparent contours, and the influence of certain parameters on the variation of stream function, Nusselt and Sherwood numbers, and apparent viscosity is also inspected. The findings suggest that the rise of the time constant parameter, ??, causes an increase in thermal and mass exchange for various power-law indices, ??. The decrease of the of ratio of infinite-to zero-shear-rate viscosities, ??, and parameter, ??, enhances the both thermal and mass transfers. The rise of the orientation angel ?? from 0° to 90° yields an increase in thermal and mass transfer, but without a specific pattern in the different parameters studied.