Enhancement in the dynamic response of a viscoelastic fluid flowing through a longitudinally vibrating tube - art. no. 046304

We analyzed the effects of elasticity on the dynamics of fluids in porous m edia by studying the flow of a Maxwell fluid in a tube, which oscillates lo ngitudinally and is subject to an oscillatory pressure gradient. The presen t study investigates novelties brought about in the classic Biot theory of propagation of elastic waves in a fluid-saturated porous solid by inclusion of non-Newtonian effects that are important, for example, for hydrocarbons . Using the time Fourier transform and transforming the problem into the fr equency domain, we calculated (a) the dynamic permeability, and (b) the fun ction F(kappa) that measures the deviation from Poiseuille flow friction as a function of frequency parameter kappa. This provides a more complete the ory of the how of Maxwell fluid through a longitudinally oscillating cylind rical tube with an oscillating pressure gradient, which has important pract ical applications. This study clearly shows the transition from a dissipati ve regime to an elastic regime in which sharp enhancements (resonances) of the flow are found.