At the location of intermittent turbulent boundary layer separation a finite positive mean surface shear stress still exists. It is demonstrated that viscous coordinates and a mixing length turbulent model may still be used at the location of intermittent separation. The large scale turbulent mixing in the separation region appears to require the universal mixing constant, , increases with Reynolds number. Once true zero-mean-surface-shear-stress separation occurs, the mixing length model for the turbulent flow near the surface is no longer valid and a constant eddy viscosity is indicated.
Issue Section:
Fundamental Issues and Canonical Flows
1.
Sandborn
, V. A.
, and Kline
, S. J.
, 1961, “Flow Models in Boundary Layer Stall Inception
,” J. Basic Eng.
0021-9223, 83
(3
), pp. 317
–327
.2.
Sandborn
, V. A.
, and Liu
, C. Y.
, 1968, “On Turbulent Boundary Layer Separation
,” J. Fluid Mech.
0022-1120, 23
(2
), pp. 293
–301
.3.
Simpson
, R. L.
, Strickland
, J. H.
, and Barr
, P. W.
, 1974, “Laser and Hot Film Anemometer Measurements in a Separating Turbulent Boundary Layer
,” Report No. WT-3, NTIS AD-A001115, Thermal and Fluid Science Center, Southern Methodist University
.4.
Simpson
, R. L.
, Chew
, Y. T.
, and Shivaprasad
, B. G.
, 1980, “Measurements of a Separating Boundary Layer
,” Project SQUID, Report No. SMU-4-Pu, NTIS AD-Ao9525213.5.
Stratford
, B. S.
, 1959, “An Experimental Flow With Zero Skin Friction Throughout Its Region of Pressure Rise
,” J. Fluid Mech.
0022-1120, 5
(1
), pp. 17
–35
.6.
Castillo
, L.
, Wang
, X.
, and George
, W. K.
, 2004, “Separation Criterion for Turbulent Boundary Layer Via Similarity Analysis
,” J. Fluids Eng.
0098-2202, 126
(3
), pp. 297
–304
.7.
Van Driest
, E. R.
, 1956, “On Turbulent Flow Near a Wall
,” J. Aeronaut. Sci.
0095-9812, 23
(11
), pp. 1007
–1011
.8.
Schlichting
, H.
, and Gersten
, K.
, 2000, Boundary Layer Theory
, 8th ed., Springer
, New York
, p. 545
.9.
Simpson
, R. L.
, 1989 “Turbulent Boundary Layer Separation
,” Annu. Rev. Fluid Mech.
0066-4189, 21
, pp. 205
–234
.10.
Sandborn
, V. A.
, 2002, “Surface-Shear-Stress Pulses in Adverse-Pressure-Gradient Turbulent Boundary Layers
,” AIAA J.
0001-1452, 40
(1
), pp. 177
–179
.11.
McLaughlin
, D. K.
, and Tiederman
, W. G.
, 1973, “Biasing Correction for Individual Realization of Laser Anemometer Measurements in Turbulent Flow
,” Phys. Fluids
0031-9171 16
(12
), pp. 2082
–2088
.12.
Schubauer
, G. B.
, and Klebanoff
, P. S.
, 1951, “Investigation of Separation of the Turbulent Boundary Layer
,” NACA Report No. 1030.13.
Sandborn
, V. A.
, 2003, “Reynolds-Number Correlations for Separation of Turbulent Boundary Layers
” AIAA J.
0001-1452, 41
(4
), pp. 744
–747
.14.
Coles
, D.
, 1956, “The Law of the Wake in the Turbulent Boundary Layer
,” J. Fluid Mech.
0022-1120, 1
, pp. 191
–226
.15.
Smith
, A. M. O.
, 1954, “Improved Solutions of the Falkner and Skan Boundary Layer Equation
,” Sherman Fairchild Fund Paper No. FF-10, Institute of the Aeronautical Sciences.16.
Sandborn
, V. A.
, 1959, “Equation for the Mean Velocity Distribution of Boundary Layers
,” NASA Memorandom 2-5-59E.Copyright © 2008
by American Society of Mechanical Engineers
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