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TECHNICAL PAPERS: Forced Convection

Reattachment of Three-Dimensional Flow Adjacent to Backward-Facing Step

[+] Author and Article Information
J. H. Nie, B. F. Armaly

Department of Mechanical and Aerospace Engineering, and Engineering Mechanics, University of Missouri-Rolla, Rolla, MO 65401

J. Heat Transfer 125(3), 422-428 (May 20, 2003) (7 pages) doi:10.1115/1.1571091 History: Received July 05, 2002; Revised February 13, 2003; Online May 20, 2003
Copyright © 2003 by ASME
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References

Armaly,  B. F., Durst,  F., Pereira,  J. C. F., and Schonung,  B., 1983, “Experimental and Theoretical Investigation of Backward-Facing Step Flow,” J. Fluid Mech., 127, pp. 473–496.
Simpson,  R. L., 1996, “Aspects of Turbulent Boundary-Layer Separation,” Prog. Aerosp. Sci., 32(5), pp. 457–521.
Eaton,  J. K., and Johnson,  J. P., 1981, “A Review of Research on Subsonic Turbulent Flow Reattachment,” AIAA J., 19(9), pp. 1093–1100.
Jovic, S., and Driver, D. M., 1994, “Backward-Facing Step Measurements at Low Reynolds Number, Reh=5000,” NASA Technical Memorandum 108807, National Aeronautics and Space Administration.
Sohn,  J. L., 1988, “Evaluation of FIDAP on Some Classical Laminar and Turbulent Benchmarks,” Int. J. Numer. Methods Fluids, 8(5), pp. 1469–1490.
Khadra,  K., Angot,  P., Parneix,  S., and Caltagitone,  J. P., 2000, “Fictitious Domain Approach for Numerical Modeling of Navier-Stokes Equations,” Int. J. Numer. Methods Fluids, 34(8), pp. 651–684.
Blackwell, B. F., and Pepper, D. W., eds., 1992, “Benchmark Problems for Heat Transfer Codes,” HTD-Vol. 222, American Society of Mechanical Engineers, New York, NY.
Blackwell, B. F., and Armaly, B. F., eds., 1993, “Computational Aspects of Heat Transfer-Benchmark Problems,” HTD-Vol. 258, American Society of Mechanical Engineers, New York, NY.
Otugen,  M. V., and Muckenthaler,  G., 1992, “Study of Separated Shear Layer in Moderate Reynolds Number Plane Sudden Expansion Flows,” AIAA J., 30(7), pp. 1808–1814.
Shen,  G. X., and Ma,  G. Y., 1996, “The Investigation on the Properties and Structures of Starting Vortex Flow Past a Backward-Facing Step by WBIV Technique,” Exp. Fluids, 21(1), pp. 57–65.
Vogel,  J. C., and Eaton,  J. K., 1985, “Combined Heat Transfer and Fluid Dynamics Measurements Downstream of a Backward-Facing Step,” J. Heat Transfer. 107(4), pp. 922–929.
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Carrington,  D. B., and Pepper,  D. W., 2002, “Convective Heat Transfer Downstream of a 3-D Backward-Facing Step,” Numer. Heat Transfer, Part A, 41 (6-7), pp. 555–578.
Shih,  C., and Ho,  C. M., 1994, “Three-Dimensional Recirculation Flow in a Backward Facing Step,” ASME J. Fluids Eng., 116(2), pp. 228–232.
Li, A., and Armaly, B. F., 2000, “Convection Adjacent to a 3-D Backward-Facing Step,” NHTC 2000-12301, Proceedings of the ASME/AIChE National Heat Transfer Conference, S. C. Yao and Allan Jones, eds., August 20–22, Pittsburgh, PA.
Li, A., 2001, “Experimental and Numerical Study of Three-Dimensional Laminar Separated Flow Adjacent to Backward-Facing Step,” Ph.D. thesis, University of Missouri, Rolla, MO.
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Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York.
Armaly,  B. F., Li,  A., and Nie,  J. H., 2002, “Three-Dimensional Forced Convection Flow Adjacent to Backward-Facing Step,” J. Thermophys. Heat Transfer, 16(2), pp. 222–227.
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Figures

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Schematic of the computation domain
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Lines where the gradient of the mean streamwise velocity on the stepped wall (∂u/∂y|y=0) is zero
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General flow patterns adjacent to backward-facing step
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Streamlines starting from the spanwise plane of z/L=0.025
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Streamlines starting from the spanwise plane of z/L=0.075
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Streamlines starting from the spanwise plane of z/L=0.6
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The “jet-like” flow and the recirculation region that develops adjacent to the sidewall
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Distributions of the velocity components on the planes intersecting at the “jet-like” flow impingement location (y/S=0.01)
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Distributions of the velocity components on the y/S=0.4 plane
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Limiting streamlines adjacent to the stepped wall, the sidewall, and the upper flat wall
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Boundaries of the primary recirculation region on the stepped wall
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Distributions of velocity component (v) and velocity gradients along the xu-line
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Velocity field on a y-plane adjacent to the stepped wall (y/S=0.01) for Re=400
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Distributions of several lines adjacent to the stepped wall

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