Classification of Pulsating Flow Patterns in Curved Pipes

[+] Author and Article Information
Shigeru Tada, Shuzo Oshima, Ryuichiro Yamane

Department of Mechanical Engineering and Science, Tokyo Institute of Technology, Tokyo Japan

J Biomech Eng 118(3), 311-317 (Aug 01, 1996) (7 pages) doi:10.1115/1.2796012 History: Received June 01, 1992; Revised July 11, 1994; Online October 30, 2007


The fully developed periodic laminar flow of incompressible Newtonian fluids through a pipe of circular cross section, which is coiled in a circle, was simulated numerically. The flow patterns are characterized by three parameters: the Womersley number Wo, the Dean number De, and the amplitude ratio β. The effect of these parameters on the flow was studied in the range 2.19 ≤ Wo ≤ 50.00, 15.07 ≤ De ≤ 265.49 and 0.50 ≤ β ≤ 2.00, with the curvature ratio δ fixed to be 0.05. The way the secondary flow evolved with increasing Womersley number and Dean number is explained. The secondary flow patterns are classified into three main groups: the viscosity-dominated type, the inertia-dominated type, and the convection-dominated type. It was found that when the amplitude ratio of the volumetric flow rate is equal to 1.0, four to six vortices of the secondary flow appear at high Dean numbers, and the Lyne-type flow patterns disappear at β ≥ 0.50.

Copyright © 1996 by The American Society of Mechanical Engineers
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