Analysis of heat mass transfer in a squeezed Carreau nanofluid flow due to a sensor surface with variable thermal conductivity

Abstract

Abstract This research offers an advanced investigation into the examination of squeezed flow and heat mass transfer mechanisms of non-Newtonian Carreau dissipative nanofluids across a sensor surface. This analysis takes into consideration both variable thermal conductivity and variable viscosity aspects. It is widely accepted that the phenomenon of viscous dissipation has a significant impact on both the temperature distribution and heat transfer characteristics within nanofluids. Hence, it is being considered here. The governing equations of the problem are formulated using the Carreau model for the non-Newtonian fluid for the nanofluid. The thermal conductivity of the sensor surface is assumed to vary linearly with the temperature. The resulting nonlinear ordinary differential equations are solved numerically using the shooting method. The effects of various parameters such as suction parameter and magnetic parameter on the flow, the solutal characteristics, and thermal characteristics are analyzed. The results show that the slip parameter, the magnetic parameter, and the suction parameter have a significant effect on the flow and thermal fields. The heat transfer rate is improved by the squeezed flow index parameter and the Weissenberg number, but reduced by the power law index parameter and the Eckert number. Ultimately, the precision and reliability of the proposed approach are confirmed by benchmarking our data against previous findings. Understanding how variable viscosity impacts flow characteristics, heat transfer efficiency, and the performance of heat exchangers and cooling systems optimizes the design of nanofluids for efficient thermal systems in practical applications.