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TECHNICAL PAPERS: Fluids/Heat/Transport

A One-Dimensional Viscous-Inviscid Strong Interaction Model for Flow in Indented Channels With Separation and Reattachment

[+] Author and Article Information
S. G. C. Kalse, H. Bijl, B. W. van Oudheusden

Department of Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, The Netherlands

J Biomech Eng 125(3), 355-362 (Jun 10, 2003) (8 pages) doi:10.1115/1.1580524 History: Received April 01, 2001; Revised December 01, 2002; Online June 10, 2003
Copyright © 2003 by ASME
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References

Shapiro,  A. H., 1977, “Steady Flow in Collapsible Tubes,” ASME J. Biomech. Eng., 99, pp. 126–147.
Cancelli,  C., and Pedley,  T. J., 1985, “A Separated Flow Model for Collapsible Tube Oscillations,” J. Fluids Struct., 157, pp. 375–404.
Jensen,  O. E., 1992, “Chaotic Oscillations in a Simple Collapsible Tube Model,” ASME J. Biomech. Eng., 114, pp. 55–59.
Matsuzaki,  Y., Matsumoto,  T., Ikeda,  T., and Kitagawa,  T., 1998, “Experiments on Steady and Oscillatory Flows at Moderate Reynolds Numbers in a Quasi Two-Dimensional Channel With a Throat,” ASME J. Biomech. Eng., 120, pp. 594–601.
Ikeda,  T., and Matsuzaki,  Y., 1999, “A One-Dimensional Unsteady Separable and Reattachable Flow Model for Collapsible Tube-Flow Analysis,” ASME J. Biomech. Eng., 121, pp. 153–159.
Matsuzaki,  Y., and Fung,  Y. C., 1976, “On Separation of a Divergent Flow at Moderate Reynolds Numbers,” ASME J. Appl. Mech., 43(2), pp. 227–231.
Pedley,  T. J., and Luo,  X. Y., 1998, “Modelling Flow and Oscillations in Collapsible Tubes,” J. of Theor. and Comp. Fluid Dyn.,10, pp. 277–294.
Veldman, A. E. P., 1979, “A Numerical Method for the Calculation of Laminar, Incompressible, Boundary Layers With Strong Viscous-Inviscid Interaction,” Technical Report 79023U, Dutch National Aerospace Laboratory (NLR).
Goldstein,  S., 1948, “On Laminar Boundary Layer Flow Near a Position of Separation,” Q. J. Mech. Appl. Math., 1, pp. 43–69.
Le Balleur, J. C., 1982, “Viscous-Inviscid Coupling Calculations for Two- and Three-Dimensional Flows,” VKI Lecture series 1982-04, Von Karman Institute for Fluid Dynamics.
Veldman,  A. E. P., 1981, “New, Quasi-Simultaneous Method to Calculate Interacting Boundary Layers,” AIAA J., 19, pp. 79–85.
Lorthois,  S., Lagree,  P. Y., Marc-Vergnes,  J. P., and Cassot,  F., 2000, “Maximum Wall Shear Stress in Arterial Stenosis: Application to the Internal Carotid Arteries,” ASME J. Biomech. Eng., 122, pp. 661–666.
White, F. M., 1991, Viscous Fluid Flow, McGraw-Hill International Editions, London.
Henkes, R. A. W. M., 1997, “Computation of Separation Bubbles,” In: Boundary Layer Separation in Aircraft Aerodynamics, Delft University Press, Delft, The Netherlands, ISBN: 90-407-1476-2, pp. 87-108.

Figures

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The geometry of the channel
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Streamlines in the symmetrical and non-symmetrical channels with 40% indentation. Two-dimensional Navier-Stokes computations for Re=2000
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Effect of the channel geometry and Reynolds number on the pressure distribution at the lower wall for steady flow
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Separation and reattachment points for 40% indentation; comparison between the 2D Navier-Stokes computions, the experiments of Ikeda and Matsuzaki, and the new 1D boundary layer model
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Interactive boundary layer calculations for the channel with 40% indentation. Top: true and effective cross-section; Center: Boundary layer shape factor; Bottom: Wall shear parameter.
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Pressure distribution along the wall. Comparison between 2D Navier-Stokes computations and the new 1D boundary layer model.
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The skin-friction coefficient at the wall. Comparison between 2D Navier-Stokes computations and the new 1D boundary layer model. The skin friction coefficient is defined as cfw/0.5ρU2.
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Curve-fits (lines) compared to exact solutions of the Falkner-Skan equation (symbols)

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