Sanjay Baburao Kulkarni
Unsteady Flow of an Incompressible Viscous Electrically Conducting Fluid in Tube of Elliptical Cross Section under the Influence of Magnetic Field
1362 - 1368
2014
8
10
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/10000192
https://publications.waset.org/vol/94
World Academy of Science, Engineering and Technology
Exact solution of an unsteady flow of elasticoviscous
electrically conducting fluid through a porous media in a tube of
elliptical cross section under the influence of constant pressure
gradient and magnetic field 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the steady state, the pressure gradient is suddenly withdrawn and the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 elliptical cross section by taking
into account of the transverse magnetic field 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 (K), magnetic parameter (m) and
elasticoviscosity parameter (&beta;), which depends on the Non
Newtonian coefficient. The flow parameters are found to be identical
with that of Newtonian case as elasticviscosity parameter and
magnetic parameter tends to zero and porosity tends to infinity. It is
seen that the effect of elasticoviscosity parameter, magnetic
parameter and the porosity parameter of the bounding surface has
significant effect on the velocity parameter.
Open Science Index 94, 2014