Unsteady MHD Flow Past an Impulsively Started Inclined oscillating Plate with Variable Temperature and Mass Diffusion in the presence of Hall current

Yıl 2017, Cilt: 5 Sayı: 1, 12 - 19, 31.03.2017

U. S. Rajput Gaurav Kumar

Öz

Unsteady MHD flow past an impulsively started inclined oscillating plate with variable temperature and mass diffusion in the presence of Hall current is studied here. The fluid considered is gray, absorbing-emitting radiation but a non-scattering medium. The Governing equations involved in the present analysis are solved by the Laplace-transform technique. The velocity profile is discussed with the help of graphs drawn for different parameters like Grashof number, mass Grashof Number, Prandtl number, Hall current parameter, phase angle, the magnetic field parameter and Schmidt number, and the numerical values of skin-friction have been tabulated.

Anahtar Kelimeler

MHD, oscillating inclined plate, variable temperature, mass diffusion and Hall current

Kaynakça

• Maripala Srinivas and Naikoti Kishan. Hall Effects on Unsteady MHD Free Convection Flow over a Stretching Sheet with Variable Viscosity and Viscous Dissipation, World Applied Sciences Journal 33 (6): 1032-1041, 2015.
• Thamizhsudar M and Pandurangan J. Combined Effects of Radiation and Hall Current on MHD Flow Past an Exponentially Accelerated Vertical Plate in the Presence of Rotation, International Journal of Innovative Research in Computer and Communication Engineering Vol. 2, Issue 12, December 2014.
• Rajput U S and Kumar Surendra. MHD Flow Past an Impulsively Started Vertical Plate with Variable Temperature and Mass Diffusion, Applied Mathematical Sciences, Vol. 5, no. 3, 149 – 157, 2011.
• Deka R K. Hall effects on MHD flow past an accelerated plate, Theoret. Appl. Mech., Vol.35, No.4, pp. 333-346, Belgrade 2008.
• Muthucumaraswamy R. and Janakiraman B. Mass transfer effects on isothermal vertical oscillating plate in the presence of chemical reaction, International Journal of Applied Mathematics and Mechanics, vol. 4, no. 1, pp. 66–74, 2008.
• Attia Hazem Ali, Ahmed Mohamed Eissa Sayed. The Hall effect on unsteady MHD Couette flow with heat transfer of a Bingham fluid with suction and injection, applied Mathematical Modelling 28, 1027-1045, 2004.
• Attia H A. The effect of variable properties on the unsteady Hartmann flow with heat transfer considering the Hall effect, Appl. Math. Model. 27 (7) 551–563, 2003.
• Attia H A and katb N A. MHD flow between two parallel plate with Heat Transfer. Acta Mechanica, 117, 215-220,1996.
• Pop I. and Watanabe T. Hall effects on magnetohydrodynamic boundary layer flow over a continuous moving flat plate, Acta Mech.,Vol. 108, pp. 35–47, 1995.
• Raptis A. and Perdikis C. Flow of a viscous fluid through a porous medium bounded by a vertical surface, Int. J. Eng. Sci. 21, 1327–1330, 1983.
• Datta N and Jana R N. Oscillatory magneto hydrodynamic flow past a flat plate will Hall effects, J. Phys. Soc. Japan, 40, 14-69, 1976.
• Soundalgekar V M. Free convection effects on the oscillatory flow an infinite, vertical porous plate with constant suction – I, Proc. R. Soc., A, 333 ,25 – 36,1973.
• I. Pop. The effect of Hall currents on hydromagnetic flow near an accelerated plate, J. Math. Phys. Sci. 5, 375-379, 1971.
• Katagiri M. The Effect of Hall Current on the Magneto hydrodynamic Boundary layer Flow Past a Semi-infinite Fast Plate. Journal of the Physical Society of Japan, Vol. 27(4), pp. 1051-1059, 1969.
• Sparrow E M and Husar R B. Longitudinal vortices in natural convection flow on inclined plates, J. Fluid. Mech., 37, 251-255, 1969.
• Lighthill M J. The response of laminar skin friction and heat transfer to fluctuations in the stream velocity, Proc. R. Soc. A, 224, 1 – 23, 1954.