The local planar flow of incompressible fluid past an obstacle of semi-circular cross section is considered, the obstacle being mounted on a long flat surface. The far-field motion is one of uniform shear. Direct numerical solutions of the Navier-Stokes equations are described over a range of Reynolds numbers. The downstream eddy length and upstream position of maximum pressure gradient are found to agree with increased Reynolds number theory; in particular the agreement for the former quantity is close for Reynolds numbers above about 50.
Issue Section:
Technical Papers
1.
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
.2.
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
.3.
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
.4.
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
.5.
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
.6.
Giguere
, P.
, Dumes
, G.
, and Lemay
, J.
, 1997
, “Gurney Flap Scaling for Optimum Lift-to- Drag Ratio
,” AIAA J.
, 35
, pp. 1888
–1890
.7.
Smith
, F. T.
, 2000
, “On Physical Mechanisms in Two- and Three-Dimensional Separations
,” Philos. Trans. R. Soc. London, Ser. A
, 358
, pp. 3091
–3111
.8.
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
.9.
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
.10.
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
.11.
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
.Copyright © 2004
by ASME
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