Heat and Mass Transfer

, Volume 39, Issue 8–9, pp 765–770 | Cite as

Three dimensional unsteady convection and mass transfer flow through porous medium

Original

Abstract

The problem of three dimensional unsteady convection flow through a porous medium, with effect of mass transfer bounded by an infinite vertical porous plate is discussed, when the suction at the plate is transverse sinusoidal and the plate temperature oscillates in time about a constant mean. Assuming the free stream velocity to be uniform, approximate solutions are obtained for the flow field, the temperature field, the skin-friction and the rate of heat transfer. The dependence of solution on Pr (Prandtl number), Gr (Grashof number based on temperature), Gc (modified Grashof number based on concentration difference), Sc (Schimdt number), the frequency and the permeability parameter is also investigated.

Keywords

Convection flow Heat transfer Porous medium Mass transfer 

References

  1. 1.
    Raptis, A.; Perdikis, G.; Tzivanidis, G.: Free convection flow through a porous medium bounded by a vertical surface. J. Phys. D. Appl. Phys. 14(1981), 99–102Google Scholar
  2. 2.
    Raptis, A.; Tzivanidis, G.; Kafousios, N.: Free convection and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction. Letter Heat Mass Transfer 8(1981), 417–424Google Scholar
  3. 3.
    Raptis, A.; Kafousios, N.; Massalas, C.: Free convection and Mass transfer flow through a porous medium bounded by an infinite vertical porous plate with constant heat flux. ZAMM 62(1982), 489–491Google Scholar
  4. 4.
    Raptis, A.; Unsteady free convective flow through a porous medium. Int. J. Engin. Sci. 21(1983), 345–348Google Scholar
  5. 5.
    Ibid: Osillatory flow through a porous medium by the presence of free convective flow. Int. J. Engin. Sci. 23(1985), 51–55Google Scholar
  6. 6.
    Lai, F.C.; Kulacki, F.A.: The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous media. Int. J. Heat Mass Transfer. 33(1990), 1028–1031Google Scholar
  7. 7.
    Sharma, P.R.: Free convection effects on the flow past a porous medium bounded by a vertical infinite surface with constant suction and constant heat flux II J. Phys. D. Appl. Phys. 25(1992), 162–166Google Scholar
  8. 8.
    Nield, D.A.: Convection in a porous medium with inclined temperature gradient: an additional results. Int. J. Heat Mass Transfer. 37(1994), 3021–3025Google Scholar
  9. 9.
    Gersten, K.; Gross, J.F.: Flow and heat transfer along a plane wall with periodic suction. ZAMP 25(1974), 399–408Google Scholar
  10. 10.
    Singh, P.; Sharma, V.P.; Misra, U.N.: Three dimensional free convection flow and heat transfer along a porous vertical wall. Appl. Sci. Res. 34(1978), 105–115Google Scholar
  11. 11.
    Ibid: Three-dimensional fluctuating flow and heat transfer along a plate with suction. Int. J. Heat Mass Transfer. 21(1978), 1117–1123Google Scholar
  12. 12.
    Singh, K.D.: Three-dimensional viscous flow and heat transfer along a porous plate. ZAMM 73(1993), 58–61Google Scholar
  13. 13.
    Ibid: Three-dimensional couette flow with transpiration cooling. ZAMP 50(1999), 661–668Google Scholar

Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Department of Mathematics, University of Rajasthan, Jaipur-302004, (India)India

Personalised recommendations