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Tytuł artykułu

The effect of suction on magnetohydrodynamic forced flow of a viscous electrically conducting fluid through a porous medium induced by a rotating disk

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Języki publikacji
EN
Abstrakty
EN
The present paper investigates the steady MHD forced flow of an incompressible viscous electrically conducting fluid, due to an infinite rotating disk bounded by a porous medium. A uniform suction is applied on the upper disk. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium by Brinkman equations. Flows in the two regions are matched at the interface by assuming that the velocity and stress components are continuous at it. At the interface (porous medium-clear fluid boundary), a modified set of boundary conditions suggested by Ochao-Tapia and Whittaker is applied. Assuming constant suction at the disk surface, analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined.
Słowa kluczowe
Rocznik
Strony
1297--1308
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
Bibliografia
  • Ariel P.D. (2002): On computation of MHD flow near a rotating disk. - ZAMM, vol.82, pp.235-246.
  • Attia H.A. (2001): Transient flow of a conducting fluid with heat transfer due to an infinite rotating disk was studied. - Int. Comm. Heat Mass Transfer,vol.28, No.3, pp.439-448.
  • Attia H.A. (2002): On the effectiveness of uniform suction - injection on the unsteady flow of a conducting fluid due to an infinite disk with heat transfer - Int. Comm. Heat Mass Transfer, vol.29, No.5, pp.653-661.
  • Brinkman H.C. (1947): Calculation of viscous force exerted by a flow in fluid on a dense swarm of particles. - Appl. Sci. Res., No.A1, pp.27-36.
  • Chaudhary R.C. and Sharma P.K. (2004): The flow of viscous incompressible fluid confined between a rotating disk and a porous medium. - Int. J. of App. Mech. and Eng., vol.9, No.3, pp.607-612.
  • Darcy H. (1937): The flow of fluids through porous media. - New York: Mc-Graw Hill Book Co.
  • Givler R.C. and Altobelli S.A. (2004): A determination of the effective viscosity for the Brinkmann-Forchheimer flow model. - J. Fluid Mech., vol.258, pp.355-370.
  • Ibid (1995b): Momentum transfer at the boundary between a porous medium and a homogeneous fluid-II. - Theoretical Development. Int. J. Heat Mass Transfer, vol.38, pp.2647-2655.
  • Katukani T. (1962): Hydromagnetic flow due to a rotating disk. - J . Phys. Soc. Japan, vol.17, pp.1496-1506.
  • Kuiken H.K. (1971): The effect normal blowing on the flow near a rotating disk of infinite extent. - J. Fluid Mech. vol.47, pp.4789-798.
  • Kumar S.K., Thacker W.I. and Watson L.T. (1988): Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk surface. - Computers Fluids, vol.16, No.2, pp.183-193.
  • Millaveie M. and Wang C.Y. (2004) :The flow due to a rough rotating disk. - ZAMP, vol.55, pp.235-246.
  • Ochao-Tapia and Whittaker S. (1995a): Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I.-Theoretical Development. - Int. J. Heat Mass Transfer, vol.38, pp.2635-2646.
  • Pande G.S. (1972): On the effects of uniform high suction on the steady MHD flow due to a rotating disk. - Appl. Sci. Res. vol.11, pp.205-212.
  • Sharma B.K., Jha A.K. and Chaudhary R.C. (2007): MHD forced flow of a conducting viscous fluid through a porous medium induced by an impervious rotating disk. - Rom. Journ. Phys., vol.52, No.1- 2, pp.73.
  • Sparrow E.M. and Cess R.D. (1962): Magnetohydrodynamics flow and heat transfer about a rotating disk. - J. Appl. Mech. Trans. ASME, vol.29, pp.181-197.
  • Srivastava A.C. (1999): Flow in a porous medium induced by torsional oscillation of a disk near it surface. - ZAMP, vol.50, pp.529-545.
  • Srivastava A.C. and Sharma B.R. (1992): The flow and heat transfer of a porous medium of finite thickness. - J. Math. Phys. Sci., vol.26, pp.539-547.
  • Srivastava A.C. and Barman B. (1997): The flow of a non-Newtonian fluid confined between impervious rotating disk and a porous medium. - Proc. Nat. Acad. Sc., India,vol.67(A), No.2, pp.165-174.
  • Stuart J.P. (1954): On the effects of uniform suction on the steady flow due to a rotating disk. - Q. J. Mech. Appl. Math., vol.7, pp.446-457.
  • Watanabe T. and Oyama T. (1991): Magnetohydrodynamic boundary layer flow over a rotating disk. - ZAMM, vol.71, pp.522-524.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0028-0013
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