Regression analysis of squeezed nanofluid flow between radially stretching disks via OHAM: A comparative study

This study investigates the unsteady, incompressible, electrically conducting nanofluid flow between two parallel disks subjected to simultaneous radial stretching and squeezing, with emphasis on comparing Newtonian (viscous) and non-Newtonian (second-grade) nanofluids. The physical model incorporates the effects of Joule heating, viscous dissipation and linear Rosseland thermal radiation under convective heat and mass boundary conditions. The governing equations are transformed using similarity transformations and solved through the Homotopy Analysis Method (HAM). The influence of key parameters on physical quantities is comprehensively examined. Graphical and statistical comparisons (t-statistics and p-values) reveal that the magnetic field reduces fluid velocity but increases temperature and skin friction due to the Lorentz force. Squeezing enhances velocity while lowering temperature, and thermophoresis elevates both temperature and concentration, unlike Brownian motion, which reduces concentration. Regression analysis validates the model’s accuracy and identifies the dominant roles of the squeezing, thermophoresis and Biot numbers in enhancing transport phenomena. This work fills a notable research gap by addressing the comparison of two different fluids that are undergoing squeezing. The findings of this study have practical applications in lubrication, biomedical devices and microfluidic technologies.