Unsteady MHD elasticoviscous fluid flow of second order type in a tube of hyperbolic cross section on the porous boundary
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Author(s)
S. B. Kulkarni, Professor and Head of Department of Applied Mathematics, Finolex Academy of Management & Technology, Ratnagiri415 639.
Abstract
Exact solution of an unsteady flow of elasticoviscous fluid through a porous media in a tube of hyperbolic cross section under the influence of magnetic field and constant pressure gradient has been obtained in this paper. Initially, the flow is generated by a constant pressure gradient. After attaining the steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion in a tube of hyperbolic cross section by taking into account of the magnetic parameter and porosity factor of the bounding surface is investigated. The problem is solved in twostages the first stage is a steady motion in tube under the influence of a constant pressure gradient, the second stage concern with an unsteady motion. The problem is solved employing separation of variables technique. The results are expressed in terms of a nondimensional porosity parameter ( ), magnetic parameter(M) and elasticoviscosity parameter ( ), which depends on the NonNewtonian coefficient. The flow parameters are found to be identical with that of Newtonian case as , K and . It is seen that the effect of elasticoviscosity parameter ( ), Magnetic parameter(M) and the porosity parameter ( ) of the bounding surface has significant effect on the velocity parameter.
Keywords
Elastico viscous fluid, second order fluid, Elliptic crosssection, porous media, Separation of variables, Magentic parameter
Cite this paper
S. B. Kulkarni,
Unsteady MHD elasticoviscous fluid flow of second order type in a tube of hyperbolic cross section on the porous boundary, SCIREA Journal of Mechanics. Vol.
1
, No.
1
,
2016
, pp.
48

63
.
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