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TECHNICAL PAPERS

Influence of Surface Roughness on Shear Flow

[+] Author and Article Information
S. Bhattacharyya, S. Mahapatra

Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, India

F. T. Smith

Goldsmid Professor of Applied Mathematics, Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK

J. Appl. Mech 71(4), 459-464 (Sep 07, 2004) (6 pages) doi:10.1115/1.1767842 History: Received October 07, 2001; Revised March 08, 2004; Online September 07, 2004
Copyright © 2004 by ASME
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References

Smith,  F. T., and Walton,  A. G., 1998, “Flow Past a Two- or Three-Dimensional Steep-Edged Roughness,” Proc. R. Soc. London, Ser. A, 454, pp. 31–69.
Bhattacharyya,  S., Dennis,  S. C. R., and Smith,  F. T., 2001, “Separating Shear Flow Past a Surface-Mounted Blunt Obstacle,” J. Eng. Math., 39, pp. 47–62.
Durst,  F., and Loy,  T., 1985, “Investigation of Laminar Flow in a Pipe With Sudden Contraction of Cross Section Area,” Comput. Fluids, 13, pp. 15–36.
Williams,  P. T., and Baker,  A. J., 1997, “Numerical Simulations of Laminar Flows Over a 3D Backward-Facing Step,” Int. J. Numer. Methods Fluids, 24, pp. 1159–1183.
Chang,  T. P., and Sheu,  Tony W. H., 1999, “Time Evaluation of Laminar Flow Over a Three-Dimensional Backward-Facing Step,” Int. J. Numer. Methods Fluids, 31, pp. 721–745.
Giguere,  P., Dumes,  G., and Lemay,  J., 1997, “Gurney Flap Scaling for Optimum Lift-to- Drag Ratio,” AIAA J., 35, pp. 1888–1890.
Smith,  F. T., 2000, “On Physical Mechanisms in Two- and Three-Dimensional Separations,” Philos. Trans. R. Soc. London, Ser. A, 358, pp. 3091–3111.
Martinuzzi,  E. R., and Tropea,  C., 1993, “The Flow Around Surface Mounted Prismatic Obstacles Placed in a Fully Developed Channel Flow,” ASME J. Fluids Eng., 115, pp. 85–92.
Meinders,  E. R., and Hanjalic,  K., 1999, “Vortex Structure and Heat Transfer in Turbulent Flow Over a Wall-Mounted Matrix of Cubes,” Int. J. Heat Fluid Flow, 20, pp. 255–267.
Smith,  F. T., and Daniels,  P. G., 1981, “Removal of Goldstein’s Singularity at Separation in Flow Past Obstacles in Wall Layers,” J. Fluid Mech., 110, pp. 1–37.
Dennis,  S. C. R., and Smith,  F. T., 1980, “Steady Flow Through a Channel With a Symmetrical Constriction in the Form of a Step,” Proc. R. Soc. London, Ser. A, 372, pp. 393–414.

Figures

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Pressure distribution along the flat surface at different Re
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Surface pressure distribution Cp along the semi-circular obstacle at different Re
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Effects of Reynolds number on downstream reattachment point x2;—theoretically predicted results
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Effects of Reynolds number on surface vorticity ζw along the flat surface
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Vorticity contours at Re=300
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Influences of the grid sizes on the wall shear ζw along the flat surface for Re=50
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Sketch of the flow configuration in nondimensional terms

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