Entropy generation and Arrhenius activation energy mechanisms in EMHD radiative Carreau nanofluid flow due to Brownian motion and thermophoresis with infinite shear rate viscosity: solar energy application and regression analysis

This research is devoted to analyzing the radiative electro-magnetohydrodynamic (EMHD) Carreau nanofluid flow, emphasising entropy generation and activation energy under unique conditions, specifically, with infinite shear rate viscosity and binary chemical reactions occurring over a nonlinear stretching sheet. Also, this innovative nanofluid model explicitly includes the vital role of Brownian motion and thermophoresis phenomenon, which are significant factors governing the movement and distribution of nanoparticles in the base fluid. A binary chemical reaction has also been taken in this study since it affects the mass transfer rates between different species present in the nanofluid. The ODEs were solved by using the bvp4c routine to effectively tackle momentum, temperature, and concentration equations. It is noted that velocity distribution increases with enhancement in the Weissenberg parameter, whereas the reverse trend is seen on the temperature profile. With an escalation of the viscosity ratio parameter, the velocity profile increases. Further, multiple linear regression has been utilised to statistically scrutinised the effect of pertinent parameters on skin friction coefficient, heat transfer rate, and Sherwood number by considering 64 sets of values of Nr in the range [0.3,0.6]. Nb & Nt in the range [0.1, 0.4] & [0.2, 0.3], respectively, to obtain the regression model. © 2024 Informa UK Limited, trading as Taylor & Francis Group.