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Turbulent mixed-boundary flow in a corner formed by a solid wall and a free surface

Published online by Cambridge University Press:  26 April 2006

L. M. Grega
Affiliation:
Department of Mechanical & Aerospace Engineering, Rutgers University, Piscataway, NJ 08855-0909, USA
T. Wei
Affiliation:
Department of Mechanical & Aerospace Engineering, Rutgers University, Piscataway, NJ 08855-0909, USA
R. I. Leighton
Affiliation:
Remote Sensing Division, Naval Research Laboratory, Washington, DC 20375, USA
J. C. Neves
Affiliation:
Center for Computational Sciences and Informantics, George Mason University, Fairfax, VA 03824, USA

Abstract

Results from a joint numerical/experimental study of turbulent flow along a corner formed by a vertical wall and a horizontal free surface are presented. The objective of the investigation was to understand transport mechanisms in the corner. Numerical simulations were conducted at NRL to obtain data describing the dynamics of the near corner region. The Reynolds number for the simulations was Reθ ≈ 220. Flow visualization experiments conducted in the Rutgers free surface water tunnel were used to initially identify coherent structures and to determine the effect of these structures on the free surface. Time-resolved streamwise LDA measurements were made for Reθ ≈ 1150. The most significant results were the identification of inner and outer secondary flow regions in the corner. The inner secondary motion is characterized by a weak slowly evolving vortex with negative streamwise vorticity. The outer secondary motion is characterized by an upflow along the wall and outflow away from the wall at the free surface. Additional salient results included observations of surfactant transport away from the surface in cores of vortices connected to the free surface, intermittent energetic transport of fluid to the surface, and attenuation of streak motion by the free surface.

Type
Research Article
Copyright
© 1995 Cambridge University Press

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References

Anthony, D. G. & Willmarth, W. W. 1992 Turbulence measurement in a round jet beneath a free surface. J. Fluid Mech. 243, 699.Google Scholar
Brundrett, E. & Baines, W. D. 1964 The production and diffusion of vorticity in duct flow. J. Fluid Mech. 19, 375.Google Scholar
Gessner, F. B. 1973 The origin of secondary flow in turbulent flow along a corner. J. Fluid Mech. 58, 1.Google Scholar
Gessner, F. B. & Jones, J. B. 1961 A preliminary study of turbulence characteristics of flow along a corner. Trans. ASME D: J. Basic Engng 83, 657.Google Scholar
Gessner, F. B. & Jones, J. B. 1965 On some aspects of fully-developed turbulent flow in rectangular channels. J. Fluid Mech. 23, 689.Google Scholar
Handler, R. A., Swean, T. S., Leighton, R. I. & Swearingen, J. D. 1993 Length scales of turbulence near a free surface obtained from a direct numerical simulation. AIAA J. 31, 1998.Google Scholar
Johansen, J. B. & Smith, C. R. 1986 The effects of cylindrical surface modifications on turbulent boundary layers. AIAA J. 24, 1081.Google Scholar
Kim, J., Moin, P. & Moser, R. D. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741.Google Scholar
Lam, K. & Banerjee, S. 1988 Investigation of turbulent flow bounded by a wall and a free surface. In Fundamentals of Gas-Liquid Flows (ed. E. E. Michaelides & M. P. Sharma). ASME Vol. 72, p. 29.
Mclean, I. R. 1990 The near wall eddy structure in an equilibrium turbulent boundary layer. PhD dissertation, Dept. of Aero. Engng., University of Southern California.
Morel, T. 1977 Design of two-dimensional wind tunnel contractions. Trans. ASME I: J. Fluids Engng. 99, 371.Google Scholar
Naot, D. & Rodi, W. 1982 Calculation of secondary currents in channel flow. J. Hydraul. Div. Proc. ASCE 108, 948.Google Scholar
Orszag, S. A. & Patera, A. T. 1983 Secondary instability of wall-bounded shear flows. J. Fluid Mech. 144, 721.Google Scholar
Perkins, H. J. 1970 The formation of streamwise vorticity in turbulent flow. J. Fluid Mech. 44, 721.Google Scholar
Robinson, S. K. 1991 The kinematics of turbulent boundary layer structure. NASA TM-103859.Google Scholar
Schlichting, H. 1979 Boundary-Layer Theory, 7th edn McGraw-Hill.
Smith, G. B. 1992 Turbulent cascade in colliding off-axis vortex rings. MS thesis, Dept. of Mech. & Aero. Engng, Rutgers University.
Spalart, P. R. & Watmuff, J. H. 1993 Experimental and numerical study of a turbulent boundary layer with pressure gradients. J. Fluid Mech. 249, 337.Google Scholar
Stern, F. 1986 Effects of waves on the boundary layer of a surface-piercing body. J. Ship Res. 30, 256.Google Scholar
Stern, F., Parthasarathy, R., Huang, H. P. & Longo, J. 1994 Effects of waves and free surface on turbulence in the boundary layer of a surface-piercing flat plate. 1994 ASME Symp. on Free Surface Turbulence, Lake Tahoe, NV.
Swean, T. S., Ramberg, S. E., Plesniak, M. W. & Stewart, M. B. 1989 Turbulent surface jet in a channel of limited depth. ASCE J. Hydraulic Engng 115, 1587.Google Scholar
Wei, T. & Willmarth, W. W. 1989 Reynolds number effects on the structure of a turbulent channel flow. J. Fluid Mech. 204, 57.Google Scholar