Investigating slip velocity effects on thermal and mass transport in magnetized nanoparticle squeeze flow via numerical scheme

Efficient control over heat and mass transport in confined fluid systems is essential for applications in biomedical devices, lubrication systems, and industrial cooling technologies. However, conventional studies often overlook the combined impact of velocity slip, magnetic effects, and nanoparticle concentration on squeeze flow, leading to gaps in understanding heat and mass transport mechanisms under dynamic compression. This research addresses this gap by investigating the influence of nanoparticle volume fraction, magnetic field intensity, velocity slip, Schmidt number, and squeeze number on the Cu-water based Magnetohydrodynamic (MHD) unsteady squeezing flow using a numerical approach. The governing nonlinear differential equations are solved using the bvp4c solver in MATLAB. Results indicate that the skin friction coefficient decreases with the increasing squeeze number, with values reaching −3.3907 for S = 1.0, aligning closely with already published results. Similarly, the Nusselt number decreases as S increases, with a computed value of 1.1195 at S = 1.0. The application of a stronger magnetic field reduces the velocity profile, while higher Schmidt numbers suppresses diffusion. The slip parameter has negligible impact on the concentration profile, while an increase in the squeeze number slightly elevates the concentration. This study provides quantitative insights into the combined effects of slip velocity, MHD, and nanoparticle concentration on squeeze flow, offering valuable implications for microfluidic cooling systems, biomedical transport, and high-performance lubrication technologies.