A mathematical model of turbulent convective fluid flow past a vertical infinite plate with hall current

被引：0

作者：

Kwanza J.K. ^{[1
]}

Mukuna W.O. ^{[1
]}

Kinyanjui M. ^{[1
]}

机构：

[1] Pure and Applied Mathematics Department, Jomo Kenyatta University of Agriculture and Technology, Nairobi 00200

来源：

International Journal of Modelling and Simulation | 2010年 / 30卷 / 03期

关键词：

Finite difference; Free convection; Hall current; Magnetic field; Turbulent flow;

D O I：

10.2316/Journal.205.2010.3.205-5277

中图分类号：

学科分类号：

摘要：

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 started and the flow problem is analysed thereafter. The effect 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.

引用

页码：376 / 383

页数：7

共 15 条

[1]

Hartmann J., Lazarus F., Hydromagnetic flow past a parallel porous plate, Mathematisk Fysike Meddeleser, 15, 7, pp. 121-124, (1937)

[2]

Alfven H., On the existence of electromagnetic-hydrodynamic waves, Arkiv for Material Astronomi och Fysik. Bd., 29, 2, pp. 140-143, (1942)

[3]

Stewartson K., On the impulsive motion of a flat plate in viscous fluid, The Quartely Journal of Mechanics and Applied Mathematics, 4, 2, pp. 182-185, (1951)

[4]

Ram P.C., Singh S.S., Jain R.K., Heat and mass transfer of viscous heat generating fluid with hall currents, Astrophysics and Space Science, 168, 1, pp. 209-216, (1990)

[5]

Takhar H.S., Ram P.C., Garba E.J.D., Bitok J.K., Hydromagnetic convective flow of heat generating fluid past a vertical plate with Hall current and heat flux through a porous medium, Journal of MHD Plasma research, 5, 2, pp. 185-195, (1995)

[6]

Kumar B., Singh R.P., Role of porosity and magnetic field on free convection flow past an exponentially accelerated vertical porous plate, Simulation Control B, 31, 3, pp. 35-43, (1990)

[7]

Chaturvedi N., MHD flow past an infinite porous plate with variable suction, Energy Conversion and Management, 37, 5, pp. 623-627, (1996)

[8]

Kinyanjui M., Chaturvedi N., Uppal S.M., MHD stokes problem for a vertical infinite plate in a dissipative rotating fluid with hall current, Energy Conversion and Management, 39, 516, pp. 541-548, (1998)

[9]

Kwanza J.K., Kinyanjui M., Uppal S.M., Magnetohydrodynamic stokes problem for a dissipative heat generating fluid with Hall and ion-slip currents, mass diffusion and radiation absorption, Journal of Agriculture Science and Technology, 7, 1, pp. 67-90, (2005)

[10]

Singh C.B., Hydromagnetic steady flow of viscous incompressible fluid between two parallel infinite plates under the influence of inclined magnetic field, Kenya Journal of Sciences, 12, 1, pp. 1-7, (2007)

← 1 2 →