Numerical Analysis of the Flow in an Annular-Conical Passage

[+] Author and Article Information
K. Balatka, S. Mochizuki

Department of Mechanical Systems Engineering, Tokyo University of A. & T., Koganei-shi, Naka-cho, 184-8588 Tokyo, Japan

J. Fluids Eng 120(3), 513-519 (Sep 01, 1998) (7 pages) doi:10.1115/1.2820692 History: Received July 23, 1996; Revised February 25, 1998; Online January 22, 2008


The purpose of this paper is to bring new insights into the flow phenomena in an annular-conical passage, which—as previously disclosed experimentally—forms a toroidal-vortex street. The two-dimensional, time dependent Navier-Stokes equations are solved with an explicit finite-difference scheme based on the Marker and Cell method. Solutions are obtained for four different cone apex angles (β = 60, 90, 120, and 180 deg). For each apex angle three cases of different passage spacing are computed. The Reynolds number ranges from Re = 100 ̃ 5000. The stress is put on the initiation and subsequent development of the toroidal-vortex street. Critical Reynolds number for several parameter settings is determined and compared with experimental results.

Copyright © 1998 by The American Society of Mechanical Engineers
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