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  • Journal of Fluid Mechanics, Volume 633
  • August 2009, pp. 17-60

Buffer layer structures associated with extreme wall stress events in a smooth wall turbulent boundary layer

  • J. SHENG (a1), E. MALKIEL (a1) and J. KATZ (a1)
  • DOI:
  • Published online: 25 August 2009

Three-dimensional velocity distributions and corresponding wall stresses are measured concurrently in the inner part of a turbulent boundary layer over a smooth wall using digital holographic microscopy. The measurements are performed in a square duct channel flow at Reδ = 50000 and Reτ = 1470. A spatial resolution of 3–8 wall units (δυ = μm) in streamwise and spanwise directions and 1 wall unit in the wall-normal direction are sufficient for resolving buffer layer structures and for measuring the instantaneous wall shear stresses from velocity gradients in the viscous sublayer. Mean velocity and Reynolds stress profiles agree well with previous publications. Rudimentary observations classify the buffer layer three-dimensional flow into (i) a pair of counter-rotating inclined vortices, (ii) multiple streamwise vortices, some of them powerful, and (iii) no apparent buffer layer structures. Each appears in about one third of the realizations. Conditional sampling based on local wall shear stress maxima and minima reveals two types of three-dimensional buffer layer structures that generate extreme stress events. The first structure develops as spanwise vorticity lifts from the wall abruptly and within a short distance of about 10 wall units, creating initially a vertical arch. Its only precursors are a slight velocity deficit that does not involve an inflection point and low levels of vertical vorticity. This arch is subsequently stretched vertically and in the streamwise direction, culminating in formation of a pair of inclined, counter-rotating vortices with similar strength and inclination angle exceeding 45°. A wall stress minimum exists under the point of initial lifting. A pair of stress maxima develops 35δυ downstream, on the outer (downflow) sides of the vortex pair and is displaced laterally by 35–40δυ from the minimum. This flow structure exists not only in the conditionally averaged field but in the instantaneous measurement as well and appears in 16.4% of the realizations. Most of the streamwise velocity deficit generated by this phenomenon develops during this initial lifting, but it persists between the pair of vortices. Distribution of velocity fluctuations shows that spanwise transport of streamwise momentum plays a dominant role and that vertical transport is small under the vortices. In other regions, e.g. during initial lifting, and between the vortices, vertical transport dominates. The characteristics of this structure are compared to early experimental findings, highlighting similarities and differences. Abundance of pairs of streamwise vortices with similar strength is inconsistent with conclusions of several studies based on analysis of direct numerical simulation (DNS) data. The second buffer layer structure generating high wall stresses is a single, predominantly streamwise vortex, with characteristic diameter of 20–40δυ and inclination angle of 12°. It generates an elongated, strong stress maximum on one side and a weak minimum on the other and has been observed in 20.4% of the realizations. Except for a limited region of sweep above the high-stress region, this low-lying vortex mostly induces spanwise momentum transport. This structure appears to be similar to those observed in several numerical studies.

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R. J. Adrian 1991 Particle-imaging techniques for experimental fluid-mechanics. Annu. Rev. Fluid Mech. 23, 261304.

R. A. Antonia 1981 Conditional sampling in turbulence measurement. Annu. Rev. Fluid Mech. 13, 131156.

H. P. Bakewell & J. L. Lumley 1967 Viscous sublayer and adjacent wall region in turbulent pipe flow. Phys. Fluids 10, 18801889.

P. Bradshaw & G. P. Huang 1995 The law of the wall in turbulent flow. Proc. R. Soc. Lond A 451, 165188.

F. H. Clauser 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 151.

L. Djenidi & R. A. Antonia 1993 LDA measurements in low Reynolds number turbulent boundary layer. Exp. Fluids 14, 280288.

W. K. George & L. Castillo 1997 Zero-pressure-gradient turbulent boundary layer. Appl. Mech. Rev. 50, 689729.

S. Gopalan , B. M. Abraham & J. Katz 2004 The structure of a jet in cross flow at low velocity ratios. Phys. Fluids 16, 20672087.

T. Itano & S. Toh 2001 The dynamics of bursting process in wall turbulence. J. Phys. Soc. Jpn 70, 701714.

J. Jimenez 1999 The physics of wall turbulence. Physica A 263, 252262.

J. Jimenez , G. Kawahara , M. P. Simens , M. Nagata & M. Shiba 2005 Characterization of near-wall turbulence in terms of equilibrium and “bursting" solutions. Phys. Fluids 17, (015015)116.

N. Kasagi , M. Hirata & K. Nishino 1986 Streamwise pseudo-vortical structures and associated vorticity in the near-wall region of a wall bounded turbulent shear-flow. Exp. Fluids 4, 309318.

G. Kawahara , K. Ayukawa , J. Ochi & F. Ono 1998 Bursting phenomena in a turbulent square-duct flow (generation mechanisms of turbulent wall skin friction). JSME Intl J. B 41, 245253.

J. Kim 2003 Control of turbulent boundary layers. Phys. Fluids 15, 10931105.

H. Kobayashi 2008 Large eddy simulation of magnetohydrodynamic turbulent duct flows. Phy. Fluids 20, (015102)113.

A. G. Kravchenko , H. C. Choi & P. Moin 1993 On the relation of near-wall streamwise vortices to wall skin friction in turbulent boundary-layers. Phys. Fluids A 5, 33073309.

J. L. Lumley 1983 Turbulence modeling. J. Appl. Mech., Trans. ASME 50, 10971103.

I. Marusic & W. D. C. Heuer 2007 Reynolds number invariance of the structure inclination angle in wall turbulence. Phys. Rev. Lett. 99.

M. A. Niederschulte , R. J. Adrian & T. J. Hanratty 1990 Measurements of turbulent flow in a channel at low reynolds numbers. Exp. Fluids 9, 222230.

S. K. Robinson 1991 Coherent motions in the turbulent boundary-layer. Annu. Rev. Fluid Mech. 23, 601639.

W. Schoppa & F. Hussain 2000 Coherent structure dynamics in near-wall turbulence. Fluid Dyn. Res. 26, 119139.

J. Sheng , E. Malkiel & J. Katz 2003 Single beam two-views holographic particle image velocimetry. Appl. Optics 42, 235250.

J. Sheng , E. Malkiel & J. Katz 2006 Digital holographic microscope for measuring three-dimensional particle distributions and motions. Appl. Optics 45, 38933901.

J. Sheng , E. Malkiel & J. Katz 2008 Using digital holographic microscopy for simultaneous measurements of 3d near wall velocity and wall shear stress in a turbulent boundary layer. Exp. Fluids 45, 10231035.

J. Sheng , E. Malkiel , J. Katz , J. Adolf , R. Belas & A. R. Place 2007 aDigital holographic microscopy reveals prey-induced changes in swimming behavior of predatory dinoflagellates. Proc. Nat. Acad. Sci. USA 104, 1751217517.

C. R. Smith & S. P. Schwartz 1983 Observation of streamwise rotation in the near wall region of a turbulent boundary layer. Phys. Fluids 26, 241252.

B. Tao , J. Katz & C. Meneveau 2000 Geometry and scale relationships in high reynolds number turbulence determined from three-dimensional holographic velocimetry. Physics of Fluids 12, 941944.

T. Wei , R. Schmidt & P. McMurtry 2005 Comment on the clauser chart method for determining the friction velocity. Exp. Fluids 38.

W. W. Willmarth & B. J. Tu 1967 Structure of turbulence in the boundary layer near the wall. Phys. Fluids 10, S134137.

J. Zhang , B. Tao & J. Katz 1997 Turbulent flow measurement in a square duct with hybrid holographic PIV. Exp. Fluids 23, 373381.

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