Effects of Hall current on a stagnation point flow in a nanofluid over a stretching sheet

Background This study examines the effects of the Hall current on stagnation point flow over a stretching sheet when nanofluids are involved. Specifically, it investigates copper (Cu) and titanium dioxide (TiO₂) nanoparticles suspended in water. The governing partial differential equations are simplified into ordinary differential equations through a similarity transformation and are then solved numerically using the Runge-Kutta method combined with a shooting technique. The analysis considers nanoparticle volume fractions ranging from 0 to 0.2 and accounts for the role of the Prandtl number. Key parameters discussed include the Hall current, magnetic field strength, ambient flow velocity, and their impact on temperature profiles, fluid velocity, heat transfer characteristics, the local Nusselt number, and skin friction coefficient. Results The findings reveal that increasing the nanoparticle volume fraction tends to reduce the skin friction coefficient, indicating a potential resistance to flow. Moreover, both the concentration and type of nanoparticles significantly influence the behavior of fluid motion and thermal distribution. Conclusion The Hall effect serves multiple applications, including tracking charge carrier movement, evaluating blood flow velocity in medical diagnostics, and accurately determining magnetic field strength.