Steady Non Isothermal Two-Dimensional Flow of Newtonian Fluid in a Stenosed Channel

Abstract

In this paper, the steady two-dimensional motion of an incompressible Newtonian fluid between two parallel
plates with heat transfer in the presence of a cosine shaped stenosis is studied. The governing equations are transformed
into a compatibility and energy equations, which is solved analytically with the help of the regular perturbation
technique. The solutions obtained from the present analysis are given in terms of streamlines, wall shear stress, separation
and reattachment points, pressure and temperature distributions through the stenosed channel. The accuracy
of the results are verified from available literature. It is found that the wall shear stress, pressure gradient and temperature
increase with the development of the stenosis, causing separation and reattachment points in the region. It is
also observed that even at low velocity, separation occurs if the thickness of the stenosis is increased. We present the
results in graphical form.