Impact of Hall current on radiative Ree-Eyring nanofluid flow across rectangular frame with Joule and viscous dissipation effects

Fluid flow and heat transfer inside a rectangular framework have numerous engineering applications, including energy generation, power systems, cooling technologies, and nuclear reactors. Researchers are currently focusing on improving heat transfer rates through the use of nanofluids. With this motive, the current study investigates the constant, incompressible flow of nanofluids containing copper nanoparticles suspended in ethylene glycol and water, within a rectangular framework. The study investigates the non-Newtonian Ree-Eyring nanofluid flow with impact of Hall Effects. Furthermore, the impacts of Joule dissipation, thermal radiation, and viscous dissipation are examined. Additionally, the physical quantities skin friction coefficient and Nusselt number are investigated. The mathematical modeling is examined, followed by the application of similarity transformation to the nonlinear governing partial differential equations (PDEs) with particular boundary conditions. This procedure simplifies the derivation of dimensionless ordinary differential equations. The dimensionless scheme of equations is then solved numerically using the bvp4c numerical technique, which is integrated into the MATLAB software. Graphical and tubular representations are used to study the logical impact of fascinating aspects on subjective dimensions. According to the findings, greater magnetic parameters reduce velocity components, whereas larger Ree-Eyring fluid values enhance them. The temperature profile improves when magnetic parameters increase, but declines as Ree-Eyring fluid parameters rise. As suction parameters increase, the skin friction coefficient drops. The Nusselt number drops with a rising Biot number. This study have examined the first time to the best of authors knowledge.