Net Annulus Flow of a Compressible Viscous Liquid with Peristalsis
Publication: Journal of Aerospace Engineering
Volume 25, Issue 4
Abstract
The 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 values of the compressibility of the liquid, the Reynolds number, the radius ratio, and the wavelength parameter. The calculations disclose that the compressibility of the liquid, the Reynolds number, and the radius ratio have an apparent influence on the net flow. Furthermore, the net axial velocity at the wall and in the annulus gab is numerically discussed.
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Published In
Journal of Aerospace Engineering
Volume 25 • Issue 4 • October 2012
Pages: 660 - 669
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Aug 14, 2010
Accepted: Jul 20, 2011
Published online: Jul 22, 2011
Published in print: Oct 1, 2012
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