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Hall current effect on magnetohydrodynamic free-convection flow past a semi-infinite vertical plate with mass transfer. (English) Zbl 1210.76207
Summary: Heat and mass transfer along a vertical plate under the combined buoyancy force effects of thermal and species diffusion is investigated in the presence of a transversely applied uniform magnetic field and the Hall currents are taken into account. The governing fundamental equations on the assumption of small magnetic Reynolds number are approximated by a system of nonlinear ordinary differential equations, which are integrated by fourth-order Runge-Kutta method. Velocity, temperature and concentration are shown on graphs. The numerical values of the local shear stress, the local Nusselt number \(Nu\) and the local Sherwood number \(Sh\) are entered in Table 1. The effects of magnetic parameter, Hall parameter and the relative buoyancy force effect between species and thermal diffusion on the velocity, temperature and concentration are discussed. The results are compared with those known from the literature.

MSC:
76W05 Magnetohydrodynamics and electrohydrodynamics
76E06 Convection in hydrodynamic stability
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[1] Pohlhausen, H., J. appl. math. phys., 1, 115, (1921)
[2] S. Ostrach, An NACA Report 1111, p. 1953
[3] Sparrow, E.M.; Cess, R.D., Int. J. heat mass transfer, 3, 267, (1961) · Zbl 0102.41201
[4] Gupta, A.S., J. appl. math. phys., 13, 324, (1963)
[5] Riley, N., J. fluid mech., 18, 577, (1964)
[6] Kuiken, H.K., J. eng. math., 5, 51, (1971)
[7] Wilks, G., J. appl. math. phys., 27, 621, (1976)
[8] Wilks, G.; Hunt, R., J. appl. math. phys., 35, 34, (1984)
[9] Watanabe, T.; Pop, I., Int. commun. heat mass transfer, 20, 871, (1993)
[10] Elbashbeshy, E.M., Int. J. eng. sci., 34, 515, (1997)
[11] E.M. Aboeldahab, E.M.E. Elbarbary, Int. J. Math. and Math. Sci., accepted
[12] Gebhart, B., Adv. heat transfer, 9, 273, (1973)
[13] F. Mary, Roming, Academic Press, New York, 1964, pp. 286-354
[14] Meyer, R.C., J. aerospace sci., 25, 561, (1958)
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