Abstract
AbstractThe axisymmetric peristaltic flow of a viscous compressible liquid through the gab between two coaxial tubes (annulus) was studied. This peristaltic flow is actually a result of the influence of ultrasonic radiation on the flow of a liquid through an annulus, which deforms the walls of the outer tube in the shape of traveling transversal waves exactly like peristaltic pumping. Those traveling transversal waves induce a net flow of the liquid inside the annulus. This problem has numerous applications in various branches of science, including stimulation of fluid flow in the annulus under the effect of elastic waves and studies of blood flow dynamics in living creatures. The wave amplitude is related to the power output of an acoustic source. A perturbation technique was employed to analyze the problem where the amplitude ratio (wave amplitude/outer tube radius at inlet) is chosen as a parameter. In the second-order approximation, a net flow induced by the traveling wave was calculated for various v...
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