0
TECHNICAL PAPERS

Similarity Analysis for Nonequilibrium Turbulent Boundary Layers*

[+] Author and Article Information
Luciano Castillo, Xia Wang

Rensselaer Polytechnic Institute, Department of Mechanical, Aerospace and Nuclear Engineering, Troy, NY 12180

J. Fluids Eng 126(5), 827-834 (Dec 07, 2004) (8 pages) doi:10.1115/1.1789527 History: Received October 18, 2002; Revised March 15, 2004; Online December 07, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Clauser,  F. H., 1956, “The Turbulent Boundary Layer,” Adv. Appl. Mech., 4, pp. 1–54.
Castillo,  L., and George,  W. K., 2001, “Similarity Analysis for Turbulent Boundary Layer With Pressure Gradient: Outer Flow,” AIAA J., 39, pp. 41–47.
Bradshaw,  P., 1967, “The Turbulent Structure of Equilibrium Boundary Layers,” J. Fluid Mech., 29, pp. 624–645.
Townsend, A. A., 1956, The Structure of Turbulent Shear Flow, Cambridge University Press, London.
Rotta, J. C., 1962, “Turbulent Boundary Layers in Incompressible Flow,” Progr. Aeronautical Sci., Vol. 2., Pergamon, New York.
Townsend, A. A., 1976, The Structure of Turbulent Shear Flow, 2nd ed., Cambridge, London.
East, L. F., and Sawyer, W. G., 1979, “An Investigation of the Equilibrium Turbulent Boundary Layers,” Turbulent Boundary Layers: Experiment Theory and Modelling, AGARD, CP-271, 6.1–6.19.
Skåre,  P. E., and Krogstad,  P., 1994, “A Turbulent Equilibrium Boundary Layer Near Separation,” J. Fluid Mech., 272, pp. 319–348.
Kader,  B. A., and Yaglom,  A. M., 1977, “Similarity Treatment of Moving-Equilibrium Turbulent Boundary Layers in Adverse Pressure Gradients,” J. Fluid Mech., 89, pp. 305–342.
Coles, D. E., and Hirst, E. A., 1968, Computational of Turbulent Boundary Layers-1968 AFOSR-IFP-Stanford Conference, Vol. II.
Castillo,  L., Wang,  X., and George,  W., 2003, “Separation Criterion for Turbulent Boundary Layers via Similarity Analysis,” J. Fluid Eng. 126, pp. 297–304.
Bradshaw, P., and Ferriss, D., 1965, “The Response of a Retarded Equilibrium Turbulent Boundary Layer to the Sudden Removal of Pressure Gradient,” NPL Aero. Rep., 1145.
Tennekes, H., and Lumley, J. L., 1972, A First Course in Turbulence, MIT, Cambridge, MA.
Simpson,  R. L., 1989, “Turbulent Boundary-Layer Separation,” Annu. Rev. Fluid Mech., 21, pp. 205–234.
Simpson,  R. L., and Chew,  Y. T., 1981, “The Structure of a Separating Turbulent Boundary Layer. Part 1. Mean Flow and Reynolds Stresses,” J. Fluid Mech., 113, pp. 23–51.
Simpson,  R. L., and Chew,  Y. T., 1981, “The Structure of a Separating Turbulent Boundary Layer. Part 2. Higher-Order Turbulence Results,” J. Fluid Mech., 113, pp. 53–73.
Alving,  A. E., and Fernholz,  H. H., 1995, “Turbulence Measurements Around a Mild Separation Bubble and Down-Stream of Reattachment,” J. Fluid Mech., 322, pp. 279–328.
Elsberry,  K., Loeffler,  J., Zhou,  M. D., and Wygnanski,  I., 2000, “An Experimental Study of a Boundary Layer That is Maintained on the Verge of Separation,” J. Fluid Mech., 423, pp. 227–262.
Goldstein, S., “Modern Developments in Fluids Dynamics,” 1965, Dover, New York.
George, W. K., 1995, “Some New Ideas for Similarity of Turbulent Shear Flows,” Turbulence, Heat and Mass Transfer, edited by K. Hanjalic and J. C. F. Pereira, Begell House, New York.
George,  W. K., and Castillo,  L., 1997, “Zero-Pressure-Gradient Turbulent Boundary Layer,” Appl. Mech. Rev., 50, pp. 689–729.
Batchelor, G. K., 1966, An Introduction to Fluid Dynamics, Cambridge Univeristy Press, London.
Castillo, L., 1997, “Similarity Analysis of Turbulent Boundary Layers,” Ph.D. dissertation, SUNY Buffalo, Buffalo, NY.
Castillo, L., 2000, “Application of Zagarola/Smits Scaling in Turbulent Boundary Layers With Pressure Gradient,” Advances in Fluids Mechanics 3, Montreal, Canada, May 24–26, 2000, edited by M. Rahman and C. A. Brebbia, pp. 275–288.
Castillo, L., Walker, D. J., and Wosnik, M., 2000, “The Effect of the Upstream Conditions on the Mean Velocity Deficit of Turbulent Boundary Layers,” Fluids 2000 Conference and Exhibit paper #AIAA2000–2309. Denver, Colorado, June 19–22.
Zagarola,  M. V., and Smits,  A. J., 1998, “Mean-Flow Scaling of Turbulent Pipe Flow,” J. Fluid Mech., 373, pp. 33–79.
Walker,  D., and Castillo,  L., 2002, “Effect of the Upstream Conditions on Turbulent Boudnary Layers,” AIAA J., 40, pp. 2540–2542.
Castillo,  L., and Walker,  D., 2002, “The Effect of the Upstream Conditions on the Outer Flow of Turbulent Boundary Layers,” AIAA J., 40, pp. 1292–1299.
Wosnik, M., 2000, “On Wall-Bounded Turbulent Flows,” Ph.D. thesis, SUNY Buffalo, Buffalo, NY.
Schubauer, G. B., and Klebanoff, P. S., 1951, “Investigation of Separation of the Turbulent Boundary Layer,” NACA Report 1030, NACA Technical Note 2133.
Simpson,  R. L., and Strickland,  J. H., 1977, “Features of a Separating Turbulent Boundary Layer in the Vicinity of Separation,” J. Fluid Mech., 79, pp. 553–594.
Wang, X., “Similarity Analysis for Turubulent Boundary Layers Subject to Pressure Gradient and Heat Transfer,” 2003, Ph.D. dissertation, Rensslaer Polytechnic Institute, Troy, NY.
Wosnik, M., and George, W. K., 2000, “Reconciling the Zagarola/Smits Scaling With the George/Castillo Theory for the Zero Pressure Gradient Turbulent Boundary Layer,” 38th AIAA Ann. Atg. Reno, NV, Jan 10–13.
Bradshaw, P., 1967, “The Response of a Constant-Pressure Turbulent Boundary Layer to the Sudden Application of an Adverse Pressure Gradient,” NPL Aero. Rept. 1219.
Newman, B. G., 1951, “Some Contributions to the Study of the Turbulent Boundary Near Separation,” Austr. Dept. Supply Rep. ACA-53.

Figures

Grahic Jump Location
Plots of log(U) vs log(δ99) for FPG and APG data. The plot is normalized with U∞i and θi for the first measured location Castillo and George 2.
Grahic Jump Location
Nonequilibrium boundary layers: Plots of log(U) vs log(δ99)
Grahic Jump Location
Nonequilibrium boundary layers: Plots of log(U) vs log(θ)
Grahic Jump Location
APG velocity profiles using Zagarola/Smits scaling: nonequilibrium flows and equilibrium flows

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In