Pulse flow of elastic-viscous incompressible fluid in a plane channel
Abstract
Problems of a pulsating flow of an elastoviscous fluid in a flat channel for a given harmonic fluctuation of the fluid flow rate are solved based on the generalized Maxwell model.The transfer function of the amplitude-phase frequency response is determined.Using this function, the dependence of the hydrodynamic resistance on the dimensionless oscillation frequency is studied for various values of the elastic Deborah number and the concentration of the Newtonian fluid.It is shown that in an oscillatory flow of an elastoviscous fluid, the hydrodynamic resistance decreases depending on the Deborah number.As this number increases, the decrease becomes even brighter than the former resistance.This effect makes it possible to evaluate the hydrodynamic resistance for a given law of change in the longitudinal velocity averaged over the channel section, with a pulsating flow, and thereby allows determining the dissipation of the mechanical energy of the medium, which are important in the regulation of hydraulic and pneumatic systems.