Bifurcations of Flow Through Plane Symmetric Channel Contraction

[+] Author and Article Information
T. P. Chiang, Tony W. H. Sheu

Department of Engineering Science and Ocean Engineering, National Taiwan University, 73 Chou-Shan Road, Taipei 106, Taiwan, R.O.C.

J. Fluids Eng 124(2), 444-451 (May 28, 2002) (8 pages) doi:10.1115/1.1467643 History: Received March 16, 1999; Revised November 07, 2001; Online May 28, 2002
Copyright © 2002 by ASME
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Grahic Jump Location
The plot of reattachment lengths L3 of downstream tip corner eddy against Reynolds numbers. (a) C=2; (b) C=4; (c) C=8.
Grahic Jump Location
A comparison of separation/reattachment lengths of upstream salient corner eddy between the present calculation and other numerical data for C=2, 4, 8 at different Reynolds numbers. (a) Separation length L1; (b) reattachment length L2.
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A comparison of the presently computed vorticity ζ=(∂v/∂x−∂u/∂y) with that using the stream function-vorticity formulation for the case of C=2 and Re=1000. (a) Vorticity contours near the tip corner; (b) vorticity distribution along the downstream channel roof/floor.
Grahic Jump Location
The plot of residuals reduction, cast in L2-norm, against iteration numbers for dependent variables. (a) C=2,Re=426; (b) C=4,Re=1150; (c) C=4,Re=2000; (d) C=8,Re=2000.
Grahic Jump Location
A comparison of the computed u-velocity profiles with the experimental data of Durst et al. 1. (a) C=2,Re=426; (b) C=4,Re=1150.
Grahic Jump Location
A comparison of u-velocity profiles computed on uniform and nonuniform grids for the case with C=2. (a) Re=1000; (b) Re=2000.
Grahic Jump Location
The geometry and controlling lengths that can characterize the flow reversal in the contraction channel
Grahic Jump Location
The plot of streamlines and u-velocity profiles to reveal the presence of Coanda effect. (a) C=2,Re=4000; (b) C=4,Re=2000; (c) C=8,Re=2000.
Grahic Jump Location
The plot of pressure contours to reveal the pressure gradient setup in the channel. (a) C=2,Re=4000; (b) C=4,Re=2000; (c) C=8,Re=2000.
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An illustration of asymmetric solution profiles computed at x=0.1 for the case with Re=2000 and C=4. (a) u; (b) ∂u/∂y; (c) ∂u/∂x; (d) p; (e) −∂p/∂y; (f) −∂p/∂x.
Grahic Jump Location
The plot of asymmetry-energy values against Reynolds numbers in channels of different contraction ratios. (a) C=2; (b) C=4; (c) C=8.
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The streamlines and u-velocity profiles for the channel with the contraction ratio of 8. (a) Re=500; (b) Re=1000.



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