J.K. Kwanza, W.O. Mukuna, and M. Kinyanjui

Turbulent ﬂow, Hall current, free convection, magnetic ﬁeld, ﬁnite diﬀerenceNomenclature Symbols j H t E u, v, w P Pe g H0 k∗absolute temperature, K speciﬁc heat at constant pressure, J/kg/K characteristic length, m dimensional mean velocity components, m/s dimensional Cartesian co-ordinates electron cyclotron frequency, Hz dimensional time, s dimensional temperature, K temperature of the ﬂuid in the free stream, K temperature of the ﬂuid at the plate dimensionless mean velocity components

A mathematical model of magnetohydrodynamics (MHD) turbulent boundary layer ﬂuid ﬂow past a vertical inﬁnite plate in a dissipative ﬂuid with Hall current is considered. The plate is impulsively The eﬀect started and the ﬂow problem is analysed thereafter. of Hall current on the convectively cooled or convectively heated plate in the turbulent boundary layer is investigated. The Reynolds stresses, arising due to turbulence, in the momentum equations are resolved using Prandtl mixing length hypothesis. The governing equations for the problem are solved by a ﬁnite diﬀerence method. An analysis of the eﬀects of Hall current, viscous dissipation and time on velocity and temperature proﬁles is done with the aid of graphs. It is found that primary velocity increases with increase in Hall parameter. T Cp L U •, V •, W • x• , y • , z • ωe t• T• ∗ T∞ ∗ Tw U, V, W x, y, z t Gr M2 E m Pr

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