Fluid dynamics of the elliptic porous slider at high crossflow Reynolds numbers

• Autorzy: Ariel P. D.
• Języki publikacji: EN

Abstrakty

EN

The numerical and asymptotic solutions for high crossflow Reynolds numbers in the flow of an incompressible, Newtonian fluid through an elliptical porous slider are developed. An efficient numerical scheme is presented which allows the flow to be computed practically for arbitrarily large values of the Reynold's number. A comparison is made of the results obtained by the two techniques and the domain of the physical parameters for which the asymptotic solution can be used reasonably has been demarcated.

Słowa kluczowe

EN

hydromechanics; Reynolds number; porosity

PL

hydromechanika; liczba Reynoldsa; porowatość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2005
• Tom: Vol. 10, no 2
• Strony: 193--206
• Opis fizyczny: Bibliogr. 17 poz., tab., wykr.

Twórcy

autor

Ariel P. D.

• Department of Mathematical Sciences Trinity Western University, Langley, V2Y 1Y1, CANADA

Bibliografia

• [1] Ariel P.D. (1992): A hybrid method for computing the flow of viscoelastic fluids. - Int. J. Num. Meth. Fluids, vo1.14, pp.757-774.
• [2] Ariel P.D. (1993): Flow of viscoelastic fluids through a porous channel. - Int. J. Num. Meth. Fluids, vol.17 , pp.605-633.
• [3] Ariel P.D. (1994): Stagnation point flow of a viscoelastic fluid towards a moving plate. - Int. 1. Eng. Sci., vo1.33, pp.1679-1687.
• [4] Ariel P.D. (2001): Analysis of axisymmetric flow of a second order fluid near a stagnation point. - Trans. CSME, vo1.25, pp.125-135.
• [5] Ariel P.D. and Aggarwala B.D. (1983): Hydromagnetics of the elliptical porous slider. - Accepted for presentation at twentieth annual meeting of the Society of Engineering Science, Delaware, U.S.A.
• [6] Aziz A. and Na T.Y. (1981): A numerical scheme for unsteady flow of a viscous fluid between elliptic plates. - J. Comp. Appl. Math., vol.7, pp.1l5-119.
• [7] Cameron A. (1970): Basic Lubrication Theory. - London: Longman, Chapter 11.
• [8] ESL (European Space Agency Simulation Language), Salford University Business Services Ltd., Salford, 1992.
• [9] Rosenhead L. (Ed.) (1988): Laminar Boundary Layer. - The Clarendon Press, 1963; reprinted by Dover Publications Inc., New York.
• [10] Skalak F. and Wang C.Y. (1975): Fluid dynamics of a long porous slider. - J. Appl. Mech., Trans. ASME, vo1.42, pp.893-894.
• [11] Wang C.Y. (1974): Fluid dynamics of the circular porous slider. - J. Appl. Mech., Trans. ASME, vo1.41, pp.343-347.
• [12] Wang C.Y. (1975): Limitations of the Reynolds equation for porous thrust bearings. - J. Lub. Tech., Trans. ASME, vo1.97, pp.642-643.
• [13] Wang C.Y. (1978): The elliptic porous slider at low cross flow Reynolds numbers. - J. Lub. Tech., Trans. ASME, vol.100, pp.444-446.
• [14] Wang C.Y. and Watson L.T. (1979): Squeezing of a viscous fluid between elliptical plates. - Appl. Sci. Res., vo1.35, pp. 195-207.
• [15] Watson L.T. (1979): An algorithm that is globally convergent with probability one for a class of nonlinear two-point boundary value problems. - SIAM J. Num. Ana1., vo1.16, pp.394-401.
• [16] Watson L.T., Li T.Y. and Wang C.Y. (1978): Fluid dynamics of the elliptic porous slider. - Jour. Appl. Mech., Trans. ASME, vo1.45, pp.435-436.
• [17] Van Dyke M. (1964): Perturbation Methods in Fluid Meehanics. - Academic Press.