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Velocity profile measurement of supersonic boundary layer over a flat plate using the PIV technique
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 Title & Authors
Velocity profile measurement of supersonic boundary layer over a flat plate using the PIV technique
Lee, Hyuk; Kim, Young Ju; Byun, Yung Hwan; Park, Soo Hyung;
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Velocity profiles of laminar, transition and turbulent boundary layers were investigated by using Particle Image Velocimetry(PIV) measurements on the flat plate at Mach 2.96. The Schlieren visualization and PIV measurements are also used to confirm whether the oblique shock wave generated from the leading edge affects the flow field over the flat plate. The laminar velocity profile measured from the experiment was well matched with the compressible Blasius solution. The velocity profile of the transition boundary layer was well correlated with the theoretical turbulent velocity profile from near the wall and the transition began from Re = . For the turbulent boundary layer, considering compressibility effects, the Van Driest-transformed velocity satisfies the incompressible log-law. It is found that the log region is extended farther in the wall-normal direction compared to the log region in incompressible boundary layer.
Particle Image Velocimetry;Supersonic Boundary Layer;Blasius Solution;Transition Reynolds Number;Log Law;Flat Plate;
 Cited by
Dolling, D. S., "Fifty Years of Shock-wave/Boundary Layer Interaction Research:What next?," AIAA Journal, Vol. 39, No. 8, 2001, pp. 1517-1531. crossref(new window)

Gadd, G. E., Holder, D. W., and Regan, J. D., "An Experimental Investigation of the Interaction between Shock Waves and Boundary Layers," Proceedings of the Royal Society a Mathmatical, Physical and Engineering Sciences, Vol. 226, No. 1165, 1954, pp. 227-253. crossref(new window)

Van Driest, E. R., "Turbulent Boundary Layer in Compressible Fluids," AIAA Journal, Vol. 18, No.6, 1951, pp. 145-160.

Schlichting, H., and Gersten, K., Boundary-Layer Theory, 7th Ed., McGraw-Hill, New York, 1979, pp. 702-723.

Morkovin, M. V., "Effects of Compressibility on Turbulent Flows," Mecanique de la Turbulence, 1962. pp. 367-380.

Smits, A. J., and Dussauge, J. P., Turbulent Shear Layers in Supersonic Flow, 2nd Ed., Springer, New York, 2006.

Smits, A. J., Spina, E. F., Alving, A. E., Smith R. W., Fernando E. M., and Donovan J. F., "A Comparison of the Turbulence Structure of Subsonic and Supersonic Boundary Layers," Physics of Fluids A:Fluid Dynamics, Vol. 1, No.11, 1989, pp. 1865-1875.

Lin, HE., ShiHe, YI., YuXin, Zhao., LiFeng, TIAN., and Zhi, Chen., "Experimental Study of a Supersonic Turbulent Boundary Layer using PIV," Science China Physics, Mechanics and Astronomy, Vol. 54, No. 9, 2011, pp. 1702-1709. crossref(new window)

Robinson, S. K., "Space-time Correlation Measurements in a Compressible Turbulent Boundary Layer," AIAA/ASME 4th Fluid Mechanics, Plasma Dynamics and Lasers Conference, 1986.

Kistler, A. L., "Fluctuation Measurements in Supersonic Turbulent Boundary layer," Physics of Fluids, Vol. 2, No. 3, 1959, pp. 290-296. crossref(new window)

Ganapathisubramani, B., "Statistical Properties of Streamwise Velocity in a Supersonic Turbulent Boundary Layer," Physics of Fluids 19, Vol. 19, No. 9, 2007.

Park. D. H. and Park. S. O., "Nonlinear Stability Analysis of Boundary Layers by using Nonlinear Parabolized Stability Equations," The Korean Society for Aeronautical and Space Sciences, Vol. 39, No. 9, 2011, pp. 805-815. crossref(new window)

Borovoy, V. Ya., "Effect of the Unit Reynolds Number on the Measurements of Aerodynamic and Thermal Characteristics of Bodies in Wind Tunnels," Trudy TsAGI, No. 1374, 1972, pp.152-165.

Giepman, R. H. M., schrijer, F.F.J., and Van Oudheusden, B. W., "High-Resolution PIV Measurements of a Transitional Shock Wave-Boundary Layer Interaction," Experiments in Fluids, Vol.56, No. 6, 2015.

Kornilov, V. I., "Transition of the Boundary Layer on a Flat Plate at Supersonic and Hypersonic Velocities," Thermophysics and Aeromechanics, Vol. 16, No. 3, 2009.

Illingworth, C. R., "Some Solutions of the Equations of Flow of a Viscous Compressible Fluid," Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 46, No.3, 1950.

Cebeci, T. and Cousteix J., Modeling and Computation of Boundary-Layer Flows, 2nd Ed., Springer, New York, 2005.

Van Driest, E. R., "On Turbulent Flow near a Wall," Journal of the Aeronautical Sciences, Vol. 23, No. 11, 1956, pp. 1007-1011. crossref(new window)

Spalding., D. B., "A Single Formula for the Law of the Wall," Journal of Applied Mechanics, Vol. 28, No. 3, 1961, pp. 455-458. crossref(new window)