Hossain, M. A.; Arbad, O. A numerical study of the unsteady MHD-free convection with Hall current. (English) Zbl 0664.76146 Astrophys. Space Sci. 141, No. 2, 281-291 (1988). Effect of Hall current on the hydromagnetic free-convection flow of an electrically-conducting viscous incompressible fluid past an impulsively accelerated vertical porous plate in the presence of a uniform transverse magnetic field subjected to a constant transpiration velocity is analyzed for the case of small magnetic Reynolds number. Numerical solutions are obtained for the axial and transverse components of the velocity as well as the skin-friction by employing the Crank-Nicolson implicit finite- difference method for all probable values of the Prandtl number. The results are discussed with the effects of the Grashof number Gr, the transpiration velocity parameter \(\lambda\), the Hall current parameter m, and the magnetic field parameter M for the Prandtl number \(\Pr =0.71\) which represents air at 20\(\circ C\). MSC: 76W05 Magnetohydrodynamics and electrohydrodynamics 76R10 Free convection 76S05 Flows in porous media; filtration; seepage 76M99 Basic methods in fluid mechanics Keywords:Hall current; hydromagnetic free-convection flow; electrically-conducting viscous incompressible fluid; impulsively accelerated vertical porous plate; transverse magnetic field; constant transpiration velocity; magnetic Reynolds number; axial and transverse components; skin-friction; Crank-Nicolson; Prandtl number PDFBibTeX XMLCite \textit{M. A. Hossain} and \textit{O. Arbad}, Astrophys. Space Sci. 141, No. 2, 281--291 (1988; Zbl 0664.76146) Full Text: DOI References: [1] Bestman, A. R.: 1979,Acta Phys. Hungarica,46, 129. · doi:10.1007/BF03159424 [2] Cowling, T. G.: 1957,Magnetohydrodynamics, Evanston, Illinois. · Zbl 0081.21901 [3] Hall, M. G.: 1969,Proc. Roy. Soc. London A,310, 1311. [4] Hossain, M. A. and Mandal, A. C.: 1985,Astrophys. Space Sci. 111, 87. · Zbl 0565.76117 · doi:10.1007/BF00651519 [5] Hossain, M. A. and Shayo, L. K.: 1986,Astrophys. Space Sci. 125, 315. · Zbl 0612.76093 · doi:10.1007/BF00648030 [6] Hossain, M. A. and Mohammad, K.: 1987,JJAP (in press). [7] Illingworth, C. R.: 1950,Proc. Cambridge Phil. Soc. 46, 603. · doi:10.1017/S0305004100026165 [8] Kafousias, N. G., Nanousis, N. D., and Georgantopoulos, G. A.: 1979,Astrophys. Space Sci. 64, 391. · doi:10.1007/BF00639516 [9] Katagiri, M.: 1969,J. Phys. Soc. Japan,27, 1047. [10] Mayer, R. C.: 1958,J. Aerospace Sci. 25, 561. [11] Pop, I.: 1971,J. Math. Phys. Sci. 5, 375. [12] Pop, I. and Soundalgekar, V. M.: 1980,Z. Appl. Math. Mech. 60, 167. [13] Protter, D.: 1973,Computational Physics, John Wiley, New York. [14] Raptis, A., Perdikis, C. P., and Tzivanidis,G. J.: 1981,Z. Appl. Math. Mech. 61, 341. [15] Sato, H.: 1961,J. Phys. Soc. Japan 16, 1427. · Zbl 0112.42504 · doi:10.1143/JPSJ.16.1427 [16] Sherman, A. and Sutton, G. W.: 1961,Magnetohydrodynamics, Evanston, Illinois. [17] Singh, A. K.: 1982,Astrophys. Space Sci. 87, 455. · doi:10.1007/BF00648936 [18] Singh, A. K.: 1983,Astrophys. Space Sci. 93, 177. · Zbl 0556.76111 · doi:10.1007/BF02430921 [19] Soundalgekar, V. M.: 1977,J. Heat Transfer 99, 499. · Zbl 0365.76039 · doi:10.1115/1.3450729 [20] Stokes, G. G.: 1851,Trans. Cambr. Phil. Soc. 9, 8. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.