Sanjay Baburao Kulkarni
Unsteady Flow of an Incompressible ElasticoViscous Fluid of Second order Type in Tube of Ellipsoidal Cross Section on a Porous Boundary
365 - 370
2015
9
2
International Journal of Mechanical and Mechatronics Engineering
https://publications.waset.org/pdf/10000989
https://publications.waset.org/vol/98
World Academy of Science, Engineering and Technology
Exact solution of an unsteady flow of elasticoviscous
fluid through a porous media in a tube of ellipsoidal cross section
under the influence of 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suddenly withdrawn and the resulting fluid motion in a tube of
ellipsoidal cross section by taking into account of the 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) and elasticoviscosity parameter
(β), which depends on the NonNewtonian coefficient. The flow
parameters are found to be identical with that of Newtonian case as
elasticviscosity parameter tends to zero and porosity tends to
infinity. It is seen that the effect of elasticoviscosity parameter and
the porosity parameter of the bounding surface has significant effect
on the velocity parameter.
Open Science Index 98, 2015