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Viscoelastic Fluid Flow through a Porous Annulus
Author(s) -
Bhatnagar R. K.,
Vayo H. W.
Publication year - 1988
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19880680902
Subject(s) - viscoelasticity , annulus (botany) , laminar flow , mechanics , reynolds number , materials science , suction , herschel–bulkley fluid , mathematics , fluid dynamics , physics , thermodynamics , turbulence , composite material
The problem of laminar flow of a viscoelastic fluid through a porous cylindrical annulus, with walls of different permeabilities is discussed. The velocity of the fluid is given by the solution of a fifth‐order non‐linear ordinary differential equation depending on three parameters, namely, the Suction Reynolds number and the two viscoelastic parameters. Since the number of available boundary conditions is only four, we make use of the regular perturbation method to find the solution for the cases in which (i) fluid is extracted at the two walls with different constant velocities and (ii) the quantity of fluid entering one wall is nearly equal to the one being extracted at the other wall. The products of the Reynolds number with viscoelastic parameters are taken to be small in (i). A method of direct numerical integration is being treated separately. The effects of the viscoelasticity of the liquid on the velocity field, pressure distribution, skin friction are discussed for various values of the parameters involved and compared with some earlier results.