Published January 12, 2017 | Version v1

HALL EFFECT ON MHD FLOW PAST OVER MOVING VERTICAL PLATE WITH MASS DIFFUSION IN POROUS MEDIUM

  • 1. Department of Mathematics, BBDNIIT, Lucknow, Uttar Pradesh
  • 2. Department of Mathematics, University of Lucknow, Lucknow, Uttar Pradesh
  • 3. Department of Mathematics, AIET, Lucknow, Uttar Pradesh

Description

In this paper, we examine the motion of unsteady MHD flow past over moving vertical plate with mass diffusion in the presence of Hall current and porous mediam. The fluid considered is viscous, electrically conducting, incompressible and absorbing-emitting radiation in a non-scattering medium. The Laplace transform technique has been used to find the solutions for the velocity profiles and Skin friction. The velocity profile and Skin friction have been studied for different parameters like Schmidt number, Hall parameter, magnetic parameter, Mass Grashof number and time. The effects of parameters are shown graphically. The value of the skin-friction for different parameters has been tabulated.

Files

37.pdf

Files (230.4 kB)

Name Size
md5:d720587ffc98a45f7994a1c87a0174ba
230.4 kB Preview Download

Additional details

References

  • 1. Haider Zaman, Murad Ali Shah, Farhan Khan, Qaiser Javed, Effects of Hall Current on MHD Boundary Layer Second-Order Viscoelastic Fluid FlowInduced by a Continuous Surface with HeatTransfer. American Journal of Computational Mathematics, 4, 143-152. (2014). 2. U.S. Rajput and Surendra kumar, MHD flow past an impulsively started vertical plate with variable temperature and mass diffusion, Applied Mathematical sciences, vol.5,.no 3,149-157, (2011). 3. P. Sulochana Hall Effects on Unsteady MHD Three Dimensional Flow through a Porous Medium in a Rotating Parallel Plate Channel with Effect of Inclined Magnetic Field, American Journal of Computational Mathematics, 2014, 4, 396-405 4. Ahmed N, Kalita H and. Barua D P., International Journal of Engineering, Science and Technology , Vol. 2, No. 6, pp. 59-74, (2010) 5. R.K. Deka*, Hall effect on MHD flow past an accelerated plate Theoret. Appl. Mech. Vol.35, no. 4, pp. 333-346, Belgrade (2008). 6. Attia, H.A. and katb. N.A, MHD flow between two parallel plate with Heat Transfer. Acta Mechanica, 117, 215-220, (1996). 7. H.A. Attia, The effect of variable properties on the unsteady Hartmann flow with heat transfer considering the Hall effect, Appl. Math. Model. 27 (7) (2003) 551–563. 8. Hazem Ali Attia, Mohamed Eissa Sayed- Ahmed, the Hall effect on unsteady MHD Couette flow and heat transfer of a Bingham fluid with suction and injection, applied Mathematical Modelling 28, 1027-1045, (2004). 9. P.C. Ram, C.B. Singh, U. Singh, Hall effects on heat and mass transfer flow through porous medium, Astrophysics Space Science, 10, 45-51, (1984). 10. R.B. Hetnarski, algorithm for generating some inverse Laplace transforms of exponential form, ZAMP, 26, 249-253,(1975). 11. Crammer K .P. and Pai.S.I. Magneto fluid Dynamics for engineers and Applied physicist. MC Graw. Hill Book, (1973). 12. POP, I.: The effect of Hall currents on hydro magnetic, flow near an accelerated plate. J. Math. Phys. Sci.5, 375-379, (1971). 13. N. Ahmed, H. Kalita and D. P. Barua ,Unsteady MHD free convective flow past a vertical porous plate immersed in a porous medium with Hall current, thermal diffusion and heat source. International Journal of Engineering, Science and Technology, Vol. 2, No. 6, pp. 59-74, (2010). 14. Debnath L. Ray, S.C. and Chatterjee, A.K, Effect of Hall current on unsteady hydro magnetic flow past a porous plate in a Rotating fluid system. Zeitschrift für Angewandte Mathematik and Mechanik, 59, 469-471, (1979). 15. Prasada Rao, D.R.V., Krishna, D.V. and Debnath. L., Hall Effects on Free and Forced Convective Flow in Rotating Channel. Acta Mechanica, 43, 49-59, (1982). 16. A. Raptis and C. Perdikis, Flow of a viscous fluid through a porous medium bounded by a vertical surface, Int. J. Eng. Sci. 2, 1327–1330, (1983). 17. Abo. Eldahab, EM, The hall effect on magnetohydrodynamic free convective flow at stretching surface with a uniform free stream, physics scripta, 63; 29-35, (2001).