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Flow past an impermeable sphere embedded in a porous medium with Brinkmann model

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The two-dimensional steady incompressible flow past an impermeable sphere embedded in a porous medium is studied analytically using the Brinkmann model- specifying a uniform shear away from the sphere. A closed form solution is obtained for the governing equations. It is found that the increase in the permeability of a porous medium and viscosity ratio is to increase the thickness of the Brinkman boundary layer. The analysis is also concerned with the explanation of the velocity overshoot behavior. The effects of shear stress and the separation parameter are also discussed. The streamlines are drawn for different values of the porous parameter and the viscosity ratio and some important conclusions are drawn.
Rocznik
Strony
145--158
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
autor
  • UGC - CAS In Fluid Mechanics Department of Mathematics, Bangalore University, Bangalore -560 001, Karnataka, INDIA
  • UGC - CAS In Fluid Mechanics Department of Mathematics, Bangalore University, Bangalore -560 001, Karnataka, INDIA
Bibliografia
  • [1] Brinkroan H.C. (1947): A calculation of the viscous force exerted by a flowing fluid on a swarm of particies. - Appl.Sci.Res., vol.Al, pp.27-34.
  • [2] Berman B. (1996): Flow of a Newtonian fluid past an impervious sphere embedded in a porous medium. - Indian J. Pure and Appl. Math., vol.27, NO.12, pp.1249-1256.
  • [3] Joseph D.D. and Tao L.N. (1964): The effect of permeability on the slow motion of a porous sphere in a viscous liquid. - ZAMM, vol.44, pp.361-384.
  • [4] Leonov AJ. (1962): The slow stationary flow of a viscousfluid about a porous sphere. - PMM, vol.26, pp.564-566.
  • [5] Masliyah J.H., Neale G., Malysa M. and Van De Ven T.G.M (1987): Creeping flow over a composite sphere: Solid core with porous shell. - Chero. Eng. Sci., vol.4, NO.22, pp.245-253.
  • [6] Padroavathi B.S., Aroaranath T. and Nigam S.D. (1993): Stoke's flow past a porous sphere using Brinkman model. - Z. Angew. Math. Phys., vol.44, pp.929-939.
  • [7] Pop I. and Cheng P. (1992): Flow past a circular cylinder embedded in a porous medium based on the Brinkmann model. - Int. J. Engng. Sci., vo1.30, NO.2, pp.257-262.
  • [8] Rudraiah N. (1984): Non-linear convection in porous medium with convective acceleration and viscous force. - Arab. J. Sci. and Eng., vol.9, pp.153-167.
  • [9] Rudraiah N., Pradeep G. Siddeswar and Masuoka T. (2003): Non-linear convection in porous media: A review. - International J. Porous Media., vol.6, NO.1, pp.1-32.
  • [10] Underwood R.L. (1969): Calculation of incompressible flow past a circular cylinder at moderate Reynolds numbers. - J. Fluid. Mech., vo1.37, Part I, pp.95-114.
  • [11] Wolfersdorf L.V. (1989): Stoke's flow past a sphere with permeable surface. - ZAMM, vol.69, pp. 111-112.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0049
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