Abstract: A mathematical model of magnetohydrodynamics turbulent boundary layer fluid flow past a vertical infinite cylinder with Hall current is considered. The fluid flows along the axis of the cylinder. The fluid flow is impulsively started and the flow problem is subsequently analysed. The flow is modeled using the momentum and energy conservation equations. The Reynolds stresses arising due to turbulence in the conservation equations are resolved using Prandtl mixing length hypothesis. The equations are then solved by a finite difference method. The effects of flow parameters on the primary velocity, secondary velocity and temperature profiles are investigated. While the effect of Hall current on Primary velocity was not observed due to turbulence there was decreased secondary velocity profile when Hall parameter was increased. Primary velocity profiles increased wit increase in Grashof number and temperature profiles decreased with an increase Prandtl number.

Key words: Turbulent flow, Magnetohydrodynamics, Vertical cylinder, Free convection, Finite difference

| DOI: 10.17148/IARJSET.2021.8505