Hall current induced Casson nanofluid flow in magnetized porous media with coupled transport effects: Applications to energy, cooling and advanced material processing

• This study investigates the thermal propagative Casson nanofluid migration over the vertically stretching absorbent surface affected by Hall current, chemical interactions and radiation. • The Hall current is specifically emphasized, as it significantly reorients fluid motion under strong magnetic fields and modifies velocity fields. • The proposed model problem much related to the next-generation energy, cooling, and material processing technologies which require an efficient control of coupled momentum, heat and mass transport in magnetized nanofluids. • The final governing ODEs (11) − (14) subject to the boundary conditions (15) solved by the MATLAB routine Bvp5c owing to its efficiency and robustness in handling nonlinear boundary value problems. • Th strong magnetic field and Casson parameter caused to decelerate both primary and secondary velocities but both velocities upraised with porosity, Hall and radiation parameters. • The thermal field significantly raised by the thermophoresis, radiation thermal source but decayed by Casson parameter. Magnetized nanofluids have potential utilizations in emerging energy technologies, cooling and material processing technologies. Motivated by this fact, the current study investigates the thermal propagative Casson nanofluid migration over the vertically stretching absorbent surface exposed to the Hall current, chemical interactions and radiation. The Buongiorno nanofluid model is employed to capture the nanoscale transport dynamics. This study is therefore new in addressing earlier unexplored coupled transport behavior. The governing PDEs are changed into a nonlinear ODE system governing momentum, thermal, and solutal transport interactions taking-in similarity transformations. The induced system is then numerically integrated using the Bvp5c solver and a comprehensive parametric study is undertaken, with results systematically summarized in graphical trends and tabulated data. The ultimate results showcase that primary and secondary velocities decelerated by the magnetic field and Casson parameter, but both increased with Hall, porosity, and radiation parameters. The Brownian motion and thermophoresis effects significantly amplified the thermal field and primary velocity. The thermal field magnified by the radiation, thermophoresis and thermal source but suppressed by the Casson parameter. The concentration field curtailed by the magnetic, Brownian motion and chemical reactive parameters, while thermophoresis effects instigated to rise. The primary and secondary wall-frictions were abridged by the Brownian motion, porosity, radiation and thermophoresis effects but improved by the Casson and magnetic parameters. The Nusselt number was lowered by the magnetic, Brownian, radiation and Casson parameters. Intensifying the thermophoretic, magnetic and Brownian motion parameters resulted in an enhancement of the Sherwood number.