Spanwise growth of vortex structure in wall turbulence

Recent studies of the structure of wall turbulence have lead to the development of a conceptual model that validates and integrates many elements of previous models into a relatively simple picture based on self-assembling packets of hairpin vortex eddies. By continually spawning new hairpins the packets grow longer in the streamwise direction, and by mutual induction between adjacent hairpins the hairpins are strained so that they grow taller and wider as they age. The result is a characteristic growth angle in the streamwise-wall normal plane. The spanwise growth of individual packets implies that packets must either merge or pass through each other when they come into contact. Direct numerical simulations of the growth and interaction of spanwise adjacent hairpins shows that they merge by the vortex connection mechanism originally proposed by Wark and Nagib (1990). In this mechanism the quasi-streamwise legs of two hairpins annihilate each other, by virtue of having opposite vorticity, leaving a new hairpin of approximately double the width of the individuals. P1V measurements in planes parallel to the wall support this picture. DNS of multiple hairpins shows how the spanwise scale doubles when the hairpins form an array.

[1]  R. Moser,et al.  The Numerical Decomposition of Turbulent Fluctuations in a Compressible Boundary Layer , 2001 .

[2]  A stability analysis and some numerical computations for thermal convection with a variable buoyancy factor , 2001 .

[3]  H. Nagib,et al.  Relation Between Outer Structures and Wall-layer Events in Boundary Layers with and without Manipulation , 1990 .

[4]  E. Fried,et al.  Prediction of disclinations in nematic elastomers , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[5]  D. N. Riahi,et al.  FINITE AMPLITUDE THERMAL CONVECTION WITH VARIABLE GRAVITY , 2001 .

[6]  W. Phillips.  On an instability to Langmuir circulations and the role of Prandtl and Richardson numbers , 2001, Journal of Fluid Mechanics.

[7]  S. Balachandar,et al.  Autogeneration of near-wall vortical structures in channel flow , 1996 .

[8]  A. H. Haidari,et al.  On the dynamics of near-wall turbulence , 1991, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[9]  M. S. Chong,et al.  A Description of Eddying Motions and Flow Patterns Using Critical-Point Concepts , 1987 .

[10]  THE STRUCTURE OF VORTEX PACKETS IN WALL TURBULENCE , 1998 .

[11]  W. Phillips,et al.  Eulerian space–time correlations in turbulent shear flows , 2000 .

[12]  D. N. Riahi.  Effects of Rotation on Convection in a Porous Layer During Alloy Solidification , 2002 .

[13]  E. Fried.  An elementary molecular-statistical basis for the Mooney and Rivlin-Saunders theories of rubber elasticity , 2002 .

[14]  H. Aref,et al.  The equation of state of a foam , 2000 .

[15]  A. Pearlstein,et al.  Potential flow model of cavitation-induced interfacial fracture in a confined ductile layer , 2002 .

[16]  Alan Needleman,et al.  Oscillatory crack growth in glass , 1999 .

[17]  Boundary–mode—vortex interaction in turbulent channel flow over a non–wavy rough wall , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[18]  W. Phillips.  Langmuir circulations beneath growing or decaying surface waves , 2002, Journal of Fluid Mechanics.

[19]  Ronald J. Adrian,et al.  Statistical evidence of hairpin vortex packets in wall turbulence , 2001, Journal of Fluid Mechanics.

[20]  Kohsei Takehara,et al.  The coalescence cascade of a drop , 2000 .

[21]  P. Sofronis,et al.  A micromechanics approach to the study of hydrogen transport and embrittlement , 2001 .

[22]  Theory for Atomic Diffusion on Fixed and Deformable Crystal Lattices , 1999, cond-mat/9907322.

[23]  Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence , 1997 .

[24]  Javier Jiménez,et al.  A critical evaluation of the resolution properties of B-Spline and compact finite difference methods , 2001 .

[25]  Petros Athanasios Sofronis,et al.  Hydrogen induced shear localization of the plastic flow in metals and alloys , 2001 .

[26]  D. N. Riahi.  Effects of centrifugal and coriolis forces on a hydromagnetic chimney convection in a mushy layer , 2001 .

[27]  Microforces and the theory of solute transport , 1999, cond-mat/9904312.

[28]  Two-phase densification of cohesive granular aggregates. , 2001, Physical review letters.

[29]  S. Chaieb,et al.  Growth of myelin figures made of water soluble surfactant , 2000, 1st Annual International IEEE-EMBS Special Topic Conference on Microtechnologies in Medicine and Biology. Proceedings (Cat. No.00EX451).

[30]  M. S. Chong,et al.  On the mechanism of wall turbulence , 1982, Journal of Fluid Mechanics.

[31]  A. Townsend.  The Structure of Turbulent Shear Flow , 1975 .

[32]  T. Hayat,et al.  Measurement models for ultrasonic nondestructive evaluation , 2000, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[33]  E. Gledzer,et al.  Instability of bounded flows with elliptical streamlines , 1992, Journal of Fluid Mechanics.

[34]  Hassan Aref,et al.  Topological fluid mechanics of point vortex motions , 1999 .

[35]  T. J. Hanratty,et al.  Large-scale modes of turbulent channel flow: transport and structure , 2001, Journal of Fluid Mechanics.

[36]  D. N. Riahi.  Non-Axisymmetric Chimney Convection in a Mushy Layer Under a High Gravity Environment , 2001 .

[37]  M. S. Chong,et al.  A general classification of three-dimensional flow fields , 1990 .

[38]  J. G. Harris.  Rayleigh wave propagation in curved waveguides , 2002 .

[39]  Antonio DeSimone,et al.  Folding energetics in thin-film diaphragms , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[40]  D. N. Riahi.  Effects of a vertical magnetic field on chimney convection in a mushy layer , 2000 .

[41]  S. Balachandar,et al.  Optimal two-dimensional models for wake flows , 2001 .

[42]  M. R. Head,et al.  New aspects of turbulent boundary-layer structure , 1981, Journal of Fluid Mechanics.

[43]  Carl D. Meinhart,et al.  On the existence of uniform momentum zones in a turbulent boundary layer , 1995 .

[44]  Ronald Adrian,et al.  Integrated experimental and computational approach to simulation of flow in a stirred tank , 2001 .

[45]  D. N. Riahi,et al.  Onset of thermal chemical convection with crystallization and its geological implications , 2001 .

[46]  P. Sofronis,et al.  Calculation of a constitutive potential for isostatic powder compaction , 2002 .

[47]  D. N. Riahi.  Magnetohydrodynamic Effects in High Gravity Convection During Alloy Solidification , 2001 .

[48]  W. Phillips.  On the pseudomomentum and generalized Stokes drift in a spectrum of rotational waves , 2001, Journal of Fluid Mechanics.

[49]  S. Balachandar,et al.  The generation of axial vorticity in solid-propellant rocket-motor flows , 2001, Journal of Fluid Mechanics.

[50]  S. White,et al.  Self-activated healing of delamination damage in woven composites , 2001 .

[51]  E. Fried,et al.  Striping of nematic elastomers , 2002 .

[52]  Eliot Fried,et al.  A Continuum-Mechanical Theory for Nematic Elastomers , 1999 .

[53]  M. Stremler,et al.  Four-vortex motion with zero total circulation and impulse , 1999 .

[54]  I. M. Robertson,et al.  Atomistic scale experimental observations and micromechanical/continuum models for the effect of hydrogen on the mechanical behavior of metals , 2001 .

[55]  N. Sottos,et al.  A parametric study of laser induced thin film spallation , 2002 .

[56]  G. Gioia,et al.  The energetics of heterogeneous deformation in open-cell solid foams , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[57]  D. N. Riahi.  On nonlinear convection in mushy layers Part 1. Oscillatory modes of convection , 2002, Journal of Fluid Mechanics.

[58]  Carl D. Meinhart,et al.  Vortex organization in the outer region of the turbulent boundary layer , 2000, Journal of Fluid Mechanics.

[59]  S. Balachandar,et al.  A fast Eulerian method for disperse two-phase flow , 2001 .

[60]  P. Moin,et al.  Eddies, streams, and convergence zones in turbulent flows , 1988 .

[61]  P. Sofronis,et al.  Modeling the interaction between densification mechanisms in powder compaction , 2001 .

[62]  T. L. Jackson,et al.  Program burn algorithms based on detonation shock dynamics: discrete approximations of detonation flows with discontinuous front models , 2001 .

[63]  P. Moin,et al.  Evolution of a curved vortex filament into a vortex ring , 1986 .

[64]  C. Tomkins.  The Structure of Turbulence Over Smooth and Rough Walls , 2001 .

[65]  K. Hishida,et al.  On the vortical structure in a plane impinging jet , 2001, Journal of Fluid Mechanics.

[66]  C. R. Smith.  A Synthesized Model of the Near-Wall Behavior in Turbulent Boundary Layers. , 1984 .

[67]  Elastic waves in cylindrical waveguides of arbitrary cross section , 2001 .

[68]  S. Balachandar,et al.  Mechanisms for generating coherent packets of hairpin vortices in channel flow , 1999, Journal of Fluid Mechanics.

[69]  Eliot Fried,et al.  Configurational stress, yield and flow in rate–independent plasticity , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[70]  K. Hsia,et al.  The influence of multiple slip systems on the brittle–ductile transition in silicon , 1999 .

[71]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.