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Tytuł artykułu

The flow of viscous incompressible fluid confined between a rotating disk and a porous medium

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The flow of a viscous fluid induced by the rotation of a disk bounded by a porous medium fully saturated with the liquid is discussed. 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 (1947) equations. Flows in the two regions are matched at the interface by the conditions suggested by Ochao-Tapia and Whittaker (1995a; b). Analytical expressions for velocity and skin-friction are obtained and discussed.
Rocznik
Strony
607--612
Opis fizyczny
Bibliogr. 15 poz., tab., wykr.
Twórcy
  • Department of Mathematics, University of Rajasthan Jaipur - 302004, INDIA
autor
  • Department of Mathematics, University of Rajasthan Jaipur - 302004, INDIA
Bibliografia
  • [1] Brinkman H.C. (1947): Calculation of viscous force exerted by a flow in fluid on a dense swarm of particie s. - Appl. Sci. Res., vol.Al, pp.27-36.
  • [2] Cunningham R.E. and Williams R.J. (1980): Diffusion in Gases and Porous Media. - New York: Pleanum Press.
  • [3] Darcy H. (1937): The Flow of Fluids Through Porous Media. - New York: Mc-Graw Hill.
  • [4] Givler R.C. and Altobelli S.A. (1994): A determination of the effective viscosity for the Brinkman-Forchheimer flow model. - J. Fluid Mech., vol.258, pp.355-370.
  • [5] Jones I.P. (1973): Low Reynolds number flow past a porous spherical shell. - Proc. Camb. Phil. Soc., vol.73, pp.231-237.
  • [6] Joseph D.D. and Tao L.N. (1965): Ground flow induced by a moving cylinder. - Phys. Of Fluids, vol.8, pp. 1438-1446.
  • [7] Joseph D.D. and Tao L.N. (1966): Lubrication of porous bearing Stokes solution. - J. Appl. Mech. Trans. ASME, Series E, vol.88, No.3, pp.753-760.
  • [8] Kuznetsov A.V. (1996): Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium. - Appl. Sci. Res., vol.56, pp.53-67.
  • [9] Ochoa-Tapia and Whittaker S. (1995a): Momentum transfer at the boundary between a porous medium and a homogeneous fluid -1. Theoretical development. - Int. J. Heat Mass Transfer, vol.38, pp.2635-2646.
  • [10] Ochoa-Tapia and Whittaker S. (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.
  • [11] Padmavathi B.S. and Amamath J. (1993): A solution for the problem of Stokes flow past a porous sphere. - ZAMP, vol.44, pp.178-184.
  • [12] Singh M.P. and Gupta J.L. (1971): Flow of a viscous fluid past an inhomogeneous porous cylinder. - ZAMM, vol.51, pp. 17-24.
  • [13] Srivastava A.C. and Sharma B.R. (1992): The flow and heat transfer of a porous medium offinite thickness. - J. Math. Phys. Sci., vol.26, pp.539-547.
  • [14] Srivastava A.C. (1999): Flow in a porous medium induced by torsional oscillation of a disk near its surface. - ZAMP, vol.50, pp.529-545.
  • [15] 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. Sci. India, vol.67(A), No.II, pp. 165-174.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0007-0039
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