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TECHNICAL PAPERS

Backward-Facing Step Flows for Various Expansion Ratios at Low and Moderate Reynolds Numbers

[+] Author and Article Information
G. Biswas, M. Breuer, F. Durst

Lehrstuhl für Strömungsmechanik, Universität Erlangen-Nürnberg Cauerstr. 4, D-91058 Erlangen, Germanye-mail: breuer@lstm.uni-erlangen.de

J. Fluids Eng 126(3), 362-374 (Jul 12, 2004) (13 pages) doi:10.1115/1.1760532 History: Received March 06, 2003; Revised November 08, 2003; Online July 12, 2004
Copyright © 2004 by ASME
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References

Figures

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Surface streamlines of the backward-facing step flow at ReD=648. Expansion ratio H/h=1.9423; aspect ratio W/h=35; (a) Roof; (b) Bottom Wall; (c) Side Wall; (d) Symmetry Plane.
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Comparison between the boundary of the primary recirculation zone and the line of ∂u/∂y|wall=0. Flow past the backward-facing step at ReD=648. Expansion ratio H/h=1.9423; aspect ratio W/h=35; a) y*=0.046; (b) y*=0.154; (c) y*=0.273; (d) y*=0.402.
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Contours of the velocity component w on various x-z planes. y* denotes the dimensionless distance from the bottom wall; H/h=1.9423; ReD=648
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Velocity vectors at a spanwise location of z=1.05; H/h=1.9423; ReD=648
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Development of a wall jet in streamwise direction near the bottom wall. Spanwise location z=1.05; H/h=1.9423; ReD=648; three-dimensional simulation.
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Cross-stream velocity vectors at a streamwise location of x=6; H/h=1.9423; ReD=648
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Development of a wall jet in spanwise direction near the bottom wall. H/h=1.9423; ReD=648. Steamwise locations: (a) x=6 (b) x=8.
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Comparison of the spanwise location of the reattachment line past the backward-facing step at Re=ReD=397, 648, and 800. Expansion ratio H/h=1.9423; aspect ratio W/h=35; present numerical 3-D simulation and experimental data of Armaly et al. 11.
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Pressure loss coefficient ξ in the channel for different Reynolds numbers ReD and expansion ratios H/h
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Dimensionless pressure loss Δpt/(0.5ρUb,12)⋅ReD in the streamwise direction of the channel. Expansion ratio H/h=1.9423; Reynolds number range 5⋅10−3≤Re=ReD≤5⋅102.
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Length of the primary recirculation region behind the backward-facing step x1 for different expansion ratios, H/h=1.9423, 2.5, and 3.0
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Length x4 and x5 of the secondary recirculation region (on the roof) behind the backward-facing step (expansion ratio H/h=1.9423) n ormalized by the tep height S
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Length x1 of the primary recirculation region behind the backward-facing step (expansion ratio H/h=1.9423) normalized by the step height S
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Flow in the vicinity of the step. Expansion ratio H/h=1.9423; 200≤ReD≤800; two-dimensional simulations; (a) ReD=200; (b) ReD=400; (c) ReD=600; (d) ReD=800.
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Length x1 of the first corner eddy behind the backward-facing step (expansion ratio H/h=1.9423) normalized by the step height S.
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Flow in the vicinity of the step. Expansion ratio H/h=1.9423; ReD=1. (a) Zoom of the concave corner showing the first Moffatt eddy; (b) Increased zoom showing additionally the second Moffatt eddy.
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Flow in the vicinity of the step. Expansion ratio H/h=1.9423; 10−4≤ReD≤102. (a) ReD=0.0001; (b) ReD=0.1; (c) ReD=1; (d) ReD=10; (e) ReD=50; (f) ReD=100.
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Sketch of the flow configuration and definition of length scales
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Moffatt eddies in a concave corner for 2α=60 deg. The values describe the relative intensities (Moffatt 2).

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