Abstract
Shear-wake flows formed from the interaction of two turbulent boundary layers are investigated. Primary focus is on the near-field downstream of the splitter plate. Two velocity ratios and two trailing edge geometries are explored via well-resolved hotwire traverses. Comparison with boundary layer data reveals that the loss of the no-slip condition is at first most apparent in the wall-normal velocity fluctuations. Estimates of the terms in the mean momentum equation are examined. Post-separation, the inertial terms in the mean momentum equation rapidly become dominant throughout the flow. Farther downstream the mean effect of turbulent inertia continues to change sign between the wake center and the freestream, as it does between the wall and freestream in the boundary layer. Unlike in the boundary layer, the mean and turbulent inertia terms retain leading order importance over the viscous force term everywhere.
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References
Afzal N (1982) Fully developed turbulent flow in a pipe: an intermediate layer. Ing Arch 52:355–377
Alber IE (1980) The turbulent wake of a thin flat plate. AIAA J 18:1044–1051
Andreoploulos J, Bradshaw P (1980) Measurements of interacting turbulent shear layers in the near wake of a flat plate. J Fluid Mech 100:639–668
Bamberger M (2011) On the downstream evolution of the mean momentum field in turbulent shear-wake flows. M.S. Thesis, University of New Hampshire
Bogucz EA, Walker JDA (1980) The turbulent near wake at a sharp trailing edge. J Fluid Mech 196:555–584
Challa, D (2005) On the downstream evolution of turbulent initial condition shear-wake flows. M.S. Thesis, University of Utah
Chevray R, Kovasznay LSG (1969) Turbulence measurements in the wake of a thin flat plate. AIAA J 7:1641–1643
Dahm WJA, Frieler CE, Tryggvasan G (1992) Vortex structure and dynamics in the near field of a coaxial jet. J Fluid Mech 241:371–402
Fife P, Wei T, Klewicki J, McMurtry P (2005) Stress gradient balance layers and scale hierarchies in wall bounded turbulent flows. J Fluid Mech 532:165–189
Fife P, Klewicki J, Wei T (2009) Time averaging in turbulence settings may reveal an infinite hierarchy of length scales. J Discrete Contin Dyn Syst 24:781–807
Folz A, Wallace JM (2009) Near-surface turbulence in the atmospheric boundary layer. Physica D 239:1305–1317
Haji-Haidari A, Smith CR (1988) The development of the turbulent near wake of a tapered thick plate. J Fluid Mech 189:135–163
Klewicki J (2010) Reynolds number dependence, scaling and dynamics of turbulent boundary layers. J Fluids Eng 132:094001
Klewicki J, Ebner R, Wu X (2011) Mean dynamics of transitional boundary-layer flow. J Fluid Mech 682:617–651
Klewicki J, Falco R (1990) On accurately measuring statistics associated with small-scale structure in turbulent boundary layers using hot-wire probes. J Fluid Mech 219:119–142
Ko MWM, Lam KM (1989) Flow structure of coaxial jet of mean velocity ratio of 0.5. AIAA J 27:513–514
Koochesfahani MM, Frieler CE (1989) Instability of nonuniform density free shear layers with a wake profile. AIAA J 27:1735–1740
Long R, Chen T-C (1981) Experimental evidence for the existence of the mesolayer in turbulent systems. J Fluid Mech 105:19–59
Mehta R (1991) Effect of velocity ratio on plane mixing layer development: influence of the splitter plate wake. Exp Fluids 10:194–204
Morris S, Foss J (2003) Turbulent boundary layer to single-stream shear layer: the transition region. J Fluid Mech 494:187–221
Nakayama A, Liu B (1990) The turbulent near wake of a flat plate at low Reynolds number. J Fluid Mech 217:93–114
Sadr R, Klewicki JC (2003) An experimental investigation of the near field flow development in coaxial jets. Phys Fluids 15:1233–1246
Schlatter P, Orlu R (2010) Assessment of direct numerical simulation data of turbulent boundary layers. J Fluid Mech 659:116–126
Sreenivasan KR, Sahay A (1997) The persistence of viscous effects in the overlap region and the mean velocity in turbulent pipe and channel flows. In: Panton R (ed) Self-sustaining mechanisms of wall turbulence. Computational Mechanics Publications, Southampton, pp 253–272
Vukoslavcevic P, Wallace JM, Balint J-L (1991) The velocity and vorticity vector fields of a turbulent boundary Layer, Part I. Simultaneous measurement by hot-wire anemometry. J Fluid Mech 228:25–51
Vukoslavcevic P, Wallace JM (1996) A twelve-sensor hot wire probe to measure the velocity and vorticity vectors in turbulent flow. Meas Sci Technol 10:1451–1461
Wait J (2003) On the downstream evolution of laminar initial condition shear-wake flows. M.S. Thesis, University of Utah
Wei T, Fife P, Klewicki J, McMurtry P (2005) Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows. J Fluid Mech 522:303–327
Wei T, Fife P, Klewicki J (2007) On scaling the mean momentum balance and its solutions in turbulent Couette-Poiseuille flow. J Fluid Mech 573:371–398
Acknowledgments
The authors are pleased to acknowledge the efforts of Caleb Morrill-Winter and Rachel Ebner in developing the hotwire sensors employed in the present study. This work was partially supported by the Office of Naval Research, grant no. N000140810836, Ronald Joslin grant monitor.
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Bamberger, M., Klewicki, J. Statistical structure and mean dynamics of developing turbulent shear-wake flows. Exp Fluids 54, 1415 (2013). https://doi.org/10.1007/s00348-012-1415-0
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DOI: https://doi.org/10.1007/s00348-012-1415-0