On a Pulsating Flow of Polymeric Fluids

Abstract

We consider here the flow of a non-Newtonian liquid in a straight circular pipe under a fluctuating pressure gradient of the form

$$ \frac{{\partial P}}{{\partial z}} = {{P}_{o}}(1 + \varepsilon n(t)),\varepsilon \ll 1, $$

((1))

where P is the pressure, P_q, the steady state pressure gradient, n(t), a stationary random function and ε is a perturbation parameter.

Work supported by the Australian Research Grant Committee.