Hall effect on MHD transient flow past an impulsively started infinite horizontal porous plate in a rotating system

• Autorzy: Prabhakar Reddy B.

Identyfikatory

ISBN

10.2478/ijame-2018-0027

• Języki publikacji: EN

Abstrakty

EN

In this paper, the effect of Hall current on an unsteady MHD transient three dimensional flow of an electrically conducting viscous incompressible fluid past an impulsively started infinite horizontal porous plate relative to a rotating system has been studied. It is assumed that the entire system rotates with a constant angular velocity about the normal to the plate and a uniform magnetic field is applied along the normal to the plate and directed into the fluid region. The magnetic Reynolds number is assumed to be so small that the induced magnetic field can be neglected. The expressions for the primary and secondary fields and shearing stress at the plate due to primary and secondary velocity fields are obtained in a non-dimensional form. The non-dimensional governing equations of the flow are solved by using the Galerkin FEM. The effects of the physical parameters, such as the Hartmann number (M), rotation parameter (Ω), porosity parameter (K) and Hall parameter (m) on primary and secondary velocities and shearing stresses τx and τy due to primary and secondary velocities are discussed through graphs and tables, and results are physically interpreted.

Słowa kluczowe

EN

Hall current; MHD; transient; rotation; horizontal plate; Galerkin FEM

PL

magnetohydrodynamika; płyta pozioma; metoda Galerkina

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2018
• Tom: Vol. 23, no. 2
• Strony: 471--483
• Opis fizyczny: Bibliogr. 15 poz., wykr.

Twórcy

autor

Prabhakar Reddy B.

• Department of Mathematics, CNMS, University of Dodoma P. Box. No. 338, Dodoma, TANZANIA
• Department of Mathematics, Geethanjali College of Engineering & Technology Cheeryal (V), Keesara (M), Medchal (Dist) - 501301, Telangana, INDIA

Bibliografia

• [1] Datta N. and Jana R.N. (1976): Oscillatory magneto-hydrodynamic flow past a flat plate with Hall effects. −J. of Physical Society of Japan, vol.40, No.5, pp.1469-1474.
• [2] Biswal S. and Sahoo P.K. (1994): Hall effect on oscillatory hydro-magnetic free convective flow of a visco-elastic fluid past an infinite vertical porous flat plate with mass transfer. −Proc. Nat. Acad. Sci, vol.69A, pp.46-52.
• [3] Watanabe T. and Pop I. (1995): Hall effects on magneto-hydrodynamic boundary layer flow over a continuous moving flat plate. −Acta Mechanica, vol.108, No.1, pp.35-47.
• [4] Aboeldahab E.M. and Elbarbary E.M.E. (2001): Hall current effect on magneto-hydrodynamic free convection flow past a semi-infinite vertical plate with mass transfer. −Int. J. Eng. Science, vol.39, pp.1641-1652.
• [5] Acharya M., Dash G.C. and Singh L.P. (2001): Hall effect with simultaneous thermal and mass diffusion on unsteady hydro-magnetic flow near an accelerated vertical plate. − Indian J. of Physics, vol.75B, No.1, pp.168-176.
• [6] Sharma B.K., Jha A.K and Chaudhary R.C. (2007): Hall effects on MHD mixed convective flow of a viscous incompressible fluid past a vertical porous plate, immersed in a porous medium with heat source/sink. − Rom. Journal Phys, vol.52, No.5-7, pp.487-503.
• [7] Prabhakar Reddy B. and Anand Rao J. (2011): Radiation and thermal diffusion effects on an unsteady MHD free convection mass transfer flow past an infinite vertical porous plate with Hall current and heat source. −J. of Eng. Phys. and Thermophysics, vol.84, No.6, pp.1369-1378.
• [8] Raju M.C. Varma S.V.K. and Ananad Reddy N. (2011): Hall current effects on unsteady MHD flow between stretching sheet and an oscillating porous upper parallel plate with constant suction. −Thermal Science, vol.15, No.2, pp.45-48.
• [9] Rajput U.S. and Neetu Kanaujia (2016): MHD flow past a vertical plate with variable temperature and mass diffusion in the presence of Hall current. −Int. J. of Applied Sci. and Eng., vol.14, No.2, pp.115-123.
• [10] Abdus Sattar M.D. and Abdul Maleque M.D. (2000): Unsteady MHD natural convection flow along an accelerated porous plate with Hall current and mass transfer in a rotating porous medium. − J. Energy, Heat and Mass Transfer, vol.22, pp.67-72.
• [11] Takhar H.S., Chamkha A.J. and Nath G. (2002): MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity. −Int. J. Eng. Sci, vol.40, No.13, pp.1511-1527.
• [12] Mbeledogu I.U. and Ogulu A. (2007): Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heat transfer. − Int. J. Heat and Mass Transfer, vol.50, pp.1902-1908.
• [13] Singh K.D. and Rakesh Kumar (2009): Combined effects of Hall current and rotation on free convection MHD flow in a porous channel. – Ind. J. of Pure and Appl. Phys., vol.47, pp.617-623.
• [14] Ahmed N. and Sarma H.K. (2011): MHD transient flow past an impulsively started infinite horizontal porous plate in a rotating system with Hall current. − Int. J. of Appl. Math. and Mech., vol.7, No.2, pp.1-15.
• [15] Satyanarayana P.V., Venkateswarlu B. and Venkataramana S. (2013): Effects of Hall current and radiation absorption on MHD micropolar fluid in a rotating system. −Ain Shams Engineering Journal, vol.4, No.4, pp.843-854.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)