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EFFECT OF HARMONIC BOUNDARY MOTION ON VELOCITY PROFILE AND SHEAR STRESS OF CONVEYED FLUID IN AN ANNULAR PIPE

SHUEEI-MUH LIN

Kun Shan University, Tainan, Taiwan 710-03, Republic of China

Professor of Mechanical Engineering Department.

https://doi.org/10.1142/S0219519411004678Cited by:0 (Source: Crossref)

Abstract

In this study, the mathematical model of oscillating flow in an annular straight pipe due to an imposed oscillating pressure gradient and with harmonic boundary motion is established. So far, no literature is devoted to investigate the effect of harmonic boundary motion on the velocity profile and shear stress. The Navier–Stokes Equation in the cylindrical coordinate is the governing equation of fluid motion. The exact solution of this system in terms of real function only is presented. This method is more understood and helpful for deeply investigating the internal oscillating flow than the conventional complex method presented by Womersley. It is found that the effects of the boundary motion, the wave frequency, the Womersley number, and the radius ratio on the velocity profile and shear stress distribution are significant.

Keywords:

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