Unsteady Flow of a Viscous Fluid in Porous Equilateral Triangular Tube

Abstract

Keeping in view the importance of hydrodynamics in various
applications, e.g.,  the recovery of oil or gas,  conservation of water
by hydrologists, movement of subsurface water by soil scientists
and bed reactors in laboratory, refinery or chemical plant by chemical
enginecrs, the aim of the present paper is to  report an analysis
for the unsteady flow of a viscous fluid in porolls equilateral triangular
tube. Technique of Laplace transformation has been applied
to solve the equation of motion. The flow considered here is laminar
and unsteady. Fluid is considered viscous incompressible and
boundary is impermeable. Here the pressure gradient is taken and
function of time. A few particular cases, i.e.,  now under constant
pressure gradient applied for time and flow under harmonically
oscillating pressure gradient, have also been deduced. Results for
ordinary viscous tlow have also heen obtained. It is demonstrated
with the help of graphs that the flow in porous medium is slower
than in an ordinary flow.