Simulation of magneto‐convection nanofluid flow past a vertical semi‐infinite plate with Hall current and ion‐slip phenomena

Abstract This study investigates the steady, laminar boundary‐layer flow of an incompressible, magnetized Buongiorno nanofluid past a semi‐infinite vertical plate, incorporating Hall current and ion‐slip effects. Driven by the growing demand for smart functional nanomaterials, the nonlinear, dimensionless boundary‐value problem is formulated and solved numerically using the second‐order implicit Keller–Box method under appropriate physical boundary conditions. The effects of thermophoresis ( N t ), buoyancy ratio ( N r ), Brownian motion ( N b ), magnetic interaction parameter ( N m ), Hall parameter ( β e ), ion‐slip parameter ( β i ), and tangential coordinate ( ξ ) on the primary and secondary velocity components, temperature, nanoparticle concentration, skin‐friction coefficients ( C fx , C gx ), and the Nusselt and Sherwood numbers are examined both graphically and numerically. The numerical results show strong agreement with existing literature, confirming the accuracy of the model. This study presents a novel analysis of combined heat and mass transfer in magneto‐convection nanofluid flow along a vertical semi‐infinite surface under Hall and ion‐slip effects. The results reveal that increasing βₑ enhances both primary and secondary velocity components while reducing temperature and nanoparticle concentration. Increasing β i strengthens the primary velocity component but decreases the secondary velocity, temperature, and nanoparticle concentration. A N m reduces the primary velocity but increases the secondary velocity, temperature, and nanoparticle concentration. The findings have potential applications in the design of industrial power systems, electronic thermal management, and advanced cooling technologies where efficient heat transfer and precise thermal control are essential.