Vibration Effect on Mean Flow of Non-Newtonian Fluid in Two-Dimensional Channel

Abstract

Acoustic stimulation is a promising method for increasing drainage of non-Newtonian fluids through porous structures in various applications. In this study, a mathematical model is developed for unsteady flow of a bi-viscous incompressible fluid in a two-dimensional straight channel. Longitudinal vibrations are superimposed on the flow driven by pressure gradient along the channel. Simulations are carried out for a range of relevant dimensionless parameters. Effects of vibration amplitude, frequency, fluid viscosity ratio, channel width, and mean pressure gradient on the enhancement of mean flow rate are discussed.