The role of thermal conductivity variation in MHD Carreau fluid slip flow: An analysis of heat transport in porous material

Abstract

This analysis is novel as it examines the behaviour of a Carreau hydromagnetic fluidnovelty of this analysis is to examine the behaviour slip flow in Carreau fluid u hydromagnetic fluid over a porous medium with heat transport and viscous dissipation, while accounting for the impact of thermal radiation across an elongating surface with varying thermal conductivity and thickness. It is assumed that the fluid's thermal conductivity changes linearly with temperature. The non-linear governing equations have been transformed into ODEs by employing an appropriate similarity transformation. The impact of several parameters such as porosity parameter (D), magnetic parameter (M), wall thickness parameter (alpha), velocity parameter (lambda), Heat source (Q), power index parameter (m), Thermophoresis Diffusion (Nt), Brownian motion (Nb), Schmidt number (Sc) and chemical reaction parameter (Cr) are analyzed and studied graphically. It is observed that skin friction and Nusselt number having a reverse behaviour for velocity power index (m), both growing for m<1 but has reverse effect for m>1. Lower porosity in a porous medium reduces the amount of space available for fluid to flow through, which leads to an increase in fluid velocity to maintain the flow rate. Also, the concentration profile has a reverse effect on exothermic and endothermic reactions. These techniques can help future researchers develop advance technologies. The real-world applications of this research are that it can contribute to optimizing recovery strategies, and improving reservoir simulation models for cooling electronic devices or enhancing heat exchangers, and reducing environmental impact by understanding groundwater flow through porous layers.