Thermally stratified flow of unsteady magnetized nanofluids within squeezing channel with Darcy Forchhimer porous medium

Effective heat management has become a key component of contemporary manufacturing, as machinery functioning in extremely high temperature and electromagnetic environments cannot be adequately cooled by traditional methods. In order to overcome this difficulty, the current work investigates the unsteady magnetized nanofluid flow between two parallel plates embedded in a non-Darcy resistive medium, taking into account the effects of thermal and velocity slips along with ohmic heating. In addition, a cubic nonlinear thermal stratification phenomenon is integrated into the analysis, which provides more accurate depiction of significant nonlinear thermal gradients than traditional linear or quadratic frameworks. Moreover, for Titanium-water nanofluids, the shape-dependent heat conductivity of nanoparticles is assessed using the classical Hamilton-Crosser model. Employing Mathematica's built-in solver NDSolve, the highly nonlinear set of ordinary differential equations is solved to get nanofluids velocity and temperature distributions. We noticed that higher values of magnetic parameter reduce the velocity field, while higher magnetic parameter and Eckert number increases the temperature distribution. On the other hand, slip factors and thermal stratification lowers the temperature field, enhancing thermal capacity. In accordance with the analysis's findings, the suggested setup provides a very manageable and energy-effective setting for refining thermal processes using nanofluids, providing tremendous potential for use in polymeric material processing, nanotechnology cooling, and future-focused energy-related technologies.