Integrated numerical and RSM study on hall and ion-slip impacts on Maxwell nanofluid flow with Cattaneo–Christov heat conduction

Abstract

In this study, we examined Maxwell slippery flow phenomena as a result of a stretchable sheet moving through a porous medium, considering ion slips and Hall implications, along with Brownian motion and radiation implications. Using the proper similarity transformation, the dimensionless governing equations are reduced to a system of ordinary differential equations, which are then tackled through an RSM framework supported by MATLAB’s built-in bvp4c solver. The objective of using graphical representations to examine the effects of the derived physical parameters on the distributions of nanoparticle temperature, velocity, and concentration has been to provide a physical explanation for each parameter. Comparing the results to those from older studies that used similar assumptions showed that they were reliable and behaved as predicted. The Hall effect made the flow less stable, but ion-slip made it more stable, because larger ions react to magnetic forces more slowly than electrons. In parametric calculations, the intervals 0.5 ≤ Ha ≤ 2.0, 0.1 ≤ Nb, Nt ≤ 0.6, 1 ≤ Pr ≤ 7, 1 ≤ Ln ≤ 5, and 0.1 ≤ Sr ≤ 0.6 are considered. In the parameter space that was considered, the findings show that surface shear stress increases by 18%–22% as the Hartmann number increases, and that the Nusselt number decreases by around 20%–25% when the Brownian motion and thermophoresis parameters decrease. The Sherwood number may vary by as much as 15%–20%, and the nano-Lewis and Soret numbers have a major impact on mass transfer. Advanced engineering correlations based on regression have been created, providing concise expressions for skin friction, heat, and mass transfer rates, and boasting a high prediction accuracy ( $R^2>0.95$ ).