Hostname: page-component-848d4c4894-xfwgj Total loading time: 0 Render date: 2024-07-03T13:31:38.470Z Has data issue: false hasContentIssue false

Characteristics of the vortex wave

Published online by Cambridge University Press:  26 April 2006

Bruce M. Deblois
Affiliation:
Computing Laboratory, Oxford University, Oxford OX1 3QD, UK Current address: USAF Academy, CO 80840, USA.
Ian J. Sobey
Affiliation:
Computing Laboratory, Oxford University, Oxford OX1 3QD, UK
Saad Alani
Affiliation:
Department of Engineering Science, Oxford University, Oxford OX1 3PJ, UK Current address: Biwater Treatment Ltd, Gregge St, Heywood OL10 2DX, UK.

Abstract

The generation of a standing wave of vortices in thin channels has been experimentally observed and discussed in the literature for the last several years. The specific cause of the wave and its response to various conditions remains largely unexplored. In this paper we model pulsatile flow through thin channels with inserted deflectors to generate the vortex wave, and we examine various measures to quantify its effects. We focus on the numerical solution of the transient vortex wave phenomenon and its response to a superimposed bulk flow, variations of pulsation, deflector spacing and shape as well as transverse suction. The quantifying measures are mapped over a Reynolds’ number–Strouhal number domain.

Type
Research Article
Copyright
© 1993 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Amaly, B. F., Durst, F., Pereira, J. & Schulten, B. 1983 Experimental and theoretical investigation of backward-facing step flow. J. Fluid Mech. 127, 315.Google Scholar
Bellhouse, B. J. & Lewis, R. W. H. 1988 A high efficiency membrane separator for donor plasmapheresis. Trans. Am. Soc. Artificial Internal Organs 34, 747.Google Scholar
Bittleston, S. H. 1986 Flows past arrays of cylinders. PhD dissertation, Bristol University.
Bogdanova, E. V. & Ryzhov, O. S. 1983 Free and induced oscillations in Poiseuille flow. Q. J. Mech. Appl. Maths 36, 271.Google Scholar
Cherdron, W., Durst, F. & Whitelaw, J. H. 1978 Asymmetric flows and instabilities in symmetric ducts with sudden expansions. J. Fluid Mech. 84, 13.Google Scholar
DeBlois, B. M. 1991 The vortex wave with applications to cross-flow filtration. PhD dissertation, Oxford University Numerical Analysis Group.
DeBlois, B. M. & Sobey, I. J. 1992 Quadratic upwinded finite element solution to the transient incompressible Navier-Stokes' equations (in preparation).
Hagstrom, T. 1990 Conditions at the downstream boundary for simulations of viscous incompressible flow. NASA Tech. Memo 102510. (ICOMP-90-05).
Pedley, T. J. & Stephanoff, K. D. 1985 Flow along a channel with a time-dependent indentation in one wall: the generation of vorticity waves. J. Fluid Mech. 160, 337.Google Scholar
Ralph, M. E. 1986 Oscillatory flows in wavy-walled tubes. J. Fluid Mech. 168, 515.Google Scholar
Ralph, M. E. & Pedley, T. J. 1988 Flow in a channel with a moving indentation. J. Fluid Mech. 190, 87.Google Scholar
Smith, F. T. & Burggraf, O. R. 1985 On the development of large-sized, short-scaled disturbances in boundary layers. Proc. R. Soc. Lond. A 399, 25.Google Scholar
Sobey, I. J. 1980 On flow through furrowed channels. Part 1. Calculated flow patterns. J. Fluid Mech. 96, 1.Google Scholar
Sobey, I. J. 1985 Observations of waves during oscillatory channel flow. J. Fluid Mech. 151, 395.Google Scholar
Stephanoff, K. D., Pedley, T. J., Lawrence, C. J. & Secomb, T. W. 1983 Fluid flow along a channel with an asymmetric oscillating constriction. Nature 305, 692.Google Scholar
Tutty, O. R. & Pedley, T. J. 1992 Pulsatile flow in a constricted channel. J. Biomech. Engng (submitted).Google Scholar