Cospectral budget of turbulence explains the bulk properties of smooth pipe flow

Katul, Gabriel G.; Manes, Costantino

doi:10.1103/PhysRevE.90.063008

Title: Cospectral budget of turbulence explains the bulk properties of smooth pipe flow

Authors:: Katul, Gabriel G.; Manes, Costantino

Publication Date:: Wed Dec 10 00:00:00 EST 2014

Sponsoring Org.:: USDOE Office of Science (SC), Biological and Environmental Research (BER)

OSTI Identifier:: 1180893

Grant/Contract Number:: SC0006967

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

Additional Journal Information:: Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Volume: 90 Journal Issue: 6; Journal ID: ISSN 1539-3755

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Katul, Gabriel G., and Manes, Costantino. Cospectral budget of turbulence explains the bulk properties of smooth pipe flow.  United States: N. p., 2014. 
Web.  doi:10.1103/PhysRevE.90.063008.

Copy to clipboard


                    Katul, Gabriel G., & Manes, Costantino. Cospectral budget of turbulence explains the bulk properties of smooth pipe flow.  United States.  https://doi.org/10.1103/PhysRevE.90.063008

Copy to clipboard


                    Katul, Gabriel G., and Manes, Costantino. Wed .  
"Cospectral budget of turbulence explains the bulk properties of smooth pipe flow".  United States.  https://doi.org/10.1103/PhysRevE.90.063008.

Copy to clipboard


                    
@article{osti_1180893,

  title        = {Cospectral budget of turbulence explains the bulk properties of smooth pipe flow},

  author       = {Katul, Gabriel G. and Manes, Costantino},

  abstractNote = {},

  doi          = {10.1103/PhysRevE.90.063008},

  journal      = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},

  number       = 6,

  volume       = 90,

  place        = {United States},

  year         = {Wed Dec 10 00:00:00 EST 2014},

  month        = {Wed Dec 10 00:00:00 EST 2014}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevE.90.063008

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 21 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Scaling of global properties of turbulence and skin friction in pipe and channel flows
journal, May 2010

Yakhot, Victor; Bailey, Sean C. C.; Smits, Alexander J.
Journal of Fluid Mechanics, Vol. 652
DOI: 10.1017/S0022112010001497

A First Course in Turbulence
January 1972

Tennekes, Henk; Lumley, John L.
MIT Press
DOI: 10.7551/mitpress/3014.001.0001

Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers
journal, July 1981

Raupach, M. R.
Journal of Fluid Mechanics, Vol. 108
DOI: 10.1017/S0022112081002164

A Reynolds stress model for near-wall turbulence
journal, April 1993

Durbin, P. A.
Journal of Fluid Mechanics, Vol. 249, Issue -1
DOI: 10.1017/S0022112093001259

Models of the scalar spectrum for turbulent advection
journal, October 1978

Hill, R. J.
Journal of Fluid Mechanics, Vol. 88, Issue 3
DOI: 10.1017/S002211207800227X

Existence of $k^{- 1}$ power-law scaling in the equilibrium regions of wall-bounded turbulence explained by Heisenberg's eddy viscosity
journal, December 2012

Katul, Gabriel G.; Porporato, Amilcare; Nikora, Vladimir
Physical Review E, Vol. 86, Issue 6
DOI: 10.1103/PhysRevE.86.066311

Spectral Theory of the Turbulent Mean-Velocity Profile
journal, October 2010

Gioia, Gustavo; Guttenberg, Nicholas; Goldenfeld, Nigel
Physical Review Letters, Vol. 105, Issue 18
DOI: 10.1103/PhysRevLett.105.184501

Experimental support for the attached-eddy hypothesis in zero-pressure-gradient turbulent boundary layers
journal, September 1990

Perry, A. E.; Li, J. D.
Journal of Fluid Mechanics, Vol. 218, Issue -1
DOI: 10.1017/S0022112090001057

Near-dissipation range in nonlocal turbulence
journal, August 2008

Bershadskii, A.
Physics of Fluids, Vol. 20, Issue 8
DOI: 10.1063/1.2969473

The reactant concentration spectrum in turbulent mixing with a first-order reaction
journal, November 1961

Corrsin, Stanley
Journal of Fluid Mechanics, Vol. 11, Issue 03
DOI: 10.1017/S0022112061000615

A functional form for the energy spectrum parametrizing bottleneck and intermittency effects
journal, June 2008

Meyers, Johan; Meneveau, Charles
Physics of Fluids, Vol. 20, Issue 6
DOI: 10.1063/1.2936312

Structure of Turbulent Velocity and Scalar Fields at Large Wavenumbers
journal, January 1965

Pao, Yih-Ho
Physics of Fluids, Vol. 8, Issue 6
DOI: 10.1063/1.1761356

On the mechanism of wall turbulence
journal, June 1982

Perry, A. E.; Chong, M. S.
Journal of Fluid Mechanics, Vol. 119
DOI: 10.1017/S0022112082001311

Similarity and the Turbulent Energy Spectrum
journal, January 1967

Lumley, J. L.
Physics of Fluids, Vol. 10, Issue 4
DOI: 10.1063/1.1762200

Turbulent flow in smooth and rough pipes
journal, January 2007

Allen, J. J.; Shockling, M. A.; Kunkel, G. J.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 365, Issue 1852
DOI: 10.1098/rsta.2006.1939

The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers
journal, July 1991

Kolmogorov, A. N.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 434, Issue 1890
DOI: 10.1098/rspa.1991.0075

Scaling of the wall-normal turbulence component in high-Reynolds-number pipe flow
journal, March 2007

Zhao, Rongrong; Smits, Alexander J.
Journal of Fluid Mechanics, Vol. 576
DOI: 10.1017/S0022112006004526

A new friction factor relationship for fully developed pipe flow
journal, August 2005

McKEON, B. J.; Zagarola, M. V.; Smits, A. J.
Journal of Fluid Mechanics, Vol. 538, Issue -1
DOI: 10.1017/S0022112005005501

Universal Model of Finite Reynolds Number Turbulent Flow in Channels and Pipes
journal, February 2008

L’vov, Victor S.; Procaccia, Itamar; Rudenko, Oleksii
Physical Review Letters, Vol. 100, Issue 5
DOI: 10.1103/PhysRevLett.100.054504

Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
journal, January 1959

Batchelor, G. K.
Journal of Fluid Mechanics, Vol. 5, Issue 01
DOI: 10.1017/S002211205900009X

Friction factors for smooth pipe flow
journal, January 1999

McKEON, B. J.; Swanson, C. J.; Zagarola, M. V.
Journal of Fluid Mechanics, Vol. 511
DOI: 10.1017/S0022112004009796

Turbulent Flows
book, July 2012

Pope, Stephen B.
DOI: 10.1017/CBO9780511840531

Asymptotic similarity of turbulence structures in smooth- and rough-walled pipes
journal, March 1977

Perry, A. E.; Abell, C. J.
Journal of Fluid Mechanics, Vol. 79, Issue 04
DOI: 10.1017/S0022112077000457

Energy spectrum in the dissipation range of fluid turbulence
journal, January 1997

MartÍNez, D. O.; Chen, S.; Doolen, G. D.
Journal of Plasma Physics, Vol. 57, Issue 1
DOI: 10.1017/S0022377896005338

Logarithmic scaling in the longitudinal velocity variance explained by a spectral budget
journal, December 2013

Banerjee, T.; Katul, G. G.
Physics of Fluids, Vol. 25, Issue 12
DOI: 10.1063/1.4837876

On the Scaling Laws of the Velocity-Scalar Cospectra in the Canopy Sublayer Above Tall Forests
journal, May 2012

Cava, D.; Katul, G. G.
Boundary-Layer Meteorology, Vol. 145, Issue 2
DOI: 10.1007/s10546-012-9737-2

Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment
journal, June 1994

Eggels, J. G. M.; Unger, F.; Weiss, M. H.
Journal of Fluid Mechanics, Vol. 268
DOI: 10.1017/S002211209400131X

Progress in the development of a Reynolds-stress turbulence closure
journal, April 1975

Launder, B. E.; Reece, G. J.; Rodi, W.
Journal of Fluid Mechanics, Vol. 68, Issue 3
DOI: 10.1017/S0022112075001814

Spectrum of a passive scalar in moderate Reynolds number homogeneous isotropic turbulence
journal, November 2009

Danaila, L.; Antonia, R. A.
Physics of Fluids, Vol. 21, Issue 11
DOI: 10.1063/1.3264881

High-order velocity structure functions in turbulent shear flows
journal, March 1984

Anselmet, F.; Gagne, Y.; Hopfinger, E. J.
Journal of Fluid Mechanics, Vol. 140
DOI: 10.1017/S0022112084000513

Universal equilibrium range of turbulence
journal, January 1984

Qian, J.
Physics of Fluids, Vol. 27, Issue 9
DOI: 10.1063/1.864902

Roughness-Induced Critical Phenomena in a Turbulent Flow
journal, January 2006

Goldenfeld, Nigel
Physical Review Letters, Vol. 96, Issue 4
DOI: 10.1103/PhysRevLett.96.044503

On the behavior of the velocity-scalar cross correlation spectrum in the inertial range
journal, October 2004

Bos, W. J. T.; Touil, H.; Shao, L.
Physics of Fluids, Vol. 16, Issue 10
DOI: 10.1063/1.1779229

Mean fields and fluctuation moments in unstably stratified turbulent boundary layers
journal, March 1990

Kader, B. A.; Yaglom, A. M.
Journal of Fluid Mechanics, Vol. 212, Issue -1
DOI: 10.1017/S0022112090002129

Local isotropy in turbulent boundary layers at high Reynolds number
journal, June 1994

Saddoughi, Seyed G.; Veeravalli, Srinivas V.
Journal of Fluid Mechanics, Vol. 268
DOI: 10.1017/S0022112094001370

Statistical hydrodynamics
journal, March 1949

Onsager, L.
Il Nuovo Cimento, Vol. 6, Issue S2
DOI: 10.1007/BF02780991

Turbulent boundary layers in incompressible flow
journal, January 1962

Rotta, J. C.
Progress in Aerospace Sciences, Vol. 2, Issue 1
DOI: 10.1016/0376-0421(62)90014-3

Turbulence: The Legacy of A. N. Kolmogorov
book, January 1996

Frisch, Uriel
DOI: 10.1017/CBO9781139170666

On the logarithmic region in wall turbulence
journal, January 2013

Marusic, Ivan; Monty, Jason P.; Hultmark, Marcus
Journal of Fluid Mechanics, Vol. 716
DOI: 10.1017/jfm.2012.511

Anisotropic Velocity Correlation Spectrum at Small Scales in a Homogeneous Turbulent Shear Flow
journal, March 2002

Ishihara, Takashi; Yoshida, Kyo; Kaneda, Yukio
Physical Review Letters, Vol. 88, Issue 15
DOI: 10.1103/PhysRevLett.88.154501

The return to isotropy of homogeneous turbulence
journal, June 2001

Choi, Kwing-So; Lumley, John L.
Journal of Fluid Mechanics, Vol. 436
DOI: 10.1017/S002211200100386X

The Phenomenology of Small-Scale Turbulence
journal, January 1997

Sreenivasan, K. R.; Antonia, R. A.
Annual Review of Fluid Mechanics, Vol. 29, Issue 1
DOI: 10.1146/annurev.fluid.29.1.435

The bottleneck effect and the Kolmogorov constant in isotropic turbulence
journal, June 2010

Donzis, D. A.; Sreenivasan, K. R.
Journal of Fluid Mechanics, Vol. 657
DOI: 10.1017/S0022112010001400

Modelling of rapid pressure—strain in Reynolds-stress closures
journal, June 1994

Johansson, Arne V.; Hallbäck, Magnus
Journal of Fluid Mechanics, Vol. 269
DOI: 10.1017/S0022112094001515

New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency
journal, January 1998

Barenblatt, G. I.; Chorin, A. J.
SIAM Review, Vol. 40, Issue 2
DOI: 10.1137/S0036144597320047

Mean scalar concentration profile in a sheared and thermally stratified atmospheric surface layer
journal, February 2013

Katul, Gabriel G.; Li, Dan; Chamecki, Marcelo
Physical Review E, Vol. 87, Issue 2
DOI: 10.1103/PhysRevE.87.023004

Further Generalization of Onsager's Cascade Model for Turbulent Spectra
journal, January 1964

Corrsin, Stanley
Physics of Fluids, Vol. 7, Issue 8
DOI: 10.1063/1.1711355

Numerical study of the return of axisymmetric turbulence to isotropy
journal, October 1978

Schumann, U.; Patterson, G. S.
Journal of Fluid Mechanics, Vol. 88, Issue 4
DOI: 10.1017/S0022112078002359

Co-spectrum and mean velocity in turbulent boundary layers
journal, September 2013

Katul, Gabriel G.; Porporato, Amilcare; Manes, Costantino
Physics of Fluids, Vol. 25, Issue 9
DOI: 10.1063/1.4821997

A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
journal, May 1962

Kolmogorov, A. N.
Journal of Fluid Mechanics, Vol. 13, Issue 1
DOI: 10.1017/S0022112062000518

Small-Scale Structure of a Scalar Field Convected by Turbulence
journal, January 1968

Kraichnan, Robert H.
Physics of Fluids, Vol. 11, Issue 5
DOI: 10.1063/1.1692063

Bottleneck phenomenon in developed turbulence
journal, April 1994

Falkovich, Gregory
Physics of Fluids, Vol. 6, Issue 4
DOI: 10.1063/1.868255

Asymptotic scaling in turbulent pipe flow
journal, January 2007

McKeon, B. J.; Morrison, J. F.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 365, Issue 1852
DOI: 10.1098/rsta.2006.1945

Pipe flow measurements over a wide range of Reynolds numbers using liquid helium and various gases
journal, June 2002

Swanson, Chris J.; Julian, Brian; Ihas, Gary G.
Journal of Fluid Mechanics, Vol. 461
DOI: 10.1017/S0022112002008595

Similar Records in DOE PAGES and OSTI.GOV collections:

Mean-velocity profile of smooth channel flow explained by a cospectral budget model with wall-blockage

Journal Article McColl, Kaighin A. ; Katul, Gabriel G. ; Gentine, Pierre ; ... - Physics of Fluids

A series of recent studies has shown that a model of the turbulent vertical velocity variance spectrum (F_vv) combined with a simplified cospectral budget can reproduce many macroscopic flow properties of turbulent wall-bounded flows, including various features of the mean-velocity profile (MVP), i.e., the "law of the wall". While the approach reasonably models the MVP's logarithmic layer, the buffer layer displays insufficient curvature compared to measurements. The assumptions are re-examined here using a direct numerical simulation (DNS) dataset at moderate Reynolds number that includes all the requisite spectral and co-spectral information. Starting with several hypotheses for the cause of themore »« less
Cited by 17
https://doi.org/10.1063/1.4943599

Full Text Available
TRANSITION FROM LAMINAR TO TURBULENT FLOW DURING UNSTEADY FLOW IN A SMOOTH PIPE

Journal Article Carstens, M R - IXe Congr. intern. Mecan. Appl.

A study of flow establishment in a pipe was performed with a smooth straight circular pipe which was horizontally aligned. It was concluded that in the transition from laminar to turbulent flow in a pipe the effects of free- stream turbulence can be avoided entirely with a temporally expanding boundary layer. The transition occurs in spots. The magnitudes of the laminar boundary layer Reynolds number at turbulence inception was in reasonable agreement with the theoretical values determined for Blasius flow over a flat plate. The downstream movement of a turbulent zone into a laminar zone is that of physical transport.more »« less
Heat transfer to a fluid flowing turbulently in a smooth pipe with walls at constant temperature

Technical Report Seban, R A ; Shimazaki, T

The case of heat transfer to an incompressible fluid of constant properties flowing turbulently within a pipe having constant wall temperature has been investigated analytically. Heat transfer coefficients have been evaluated and compared to the coefficients obtained by Martinelli for the same flow conditions under the conditions of the linear variation of wall temperature obtained from a constant heat transfer rate along the pipe length. At low Prandtl numbers, such as obtain with molten metals, the ratio between the coefficients for these two cases may become as low as 0.72, with the coefficient for the constant wall temperature case beingmore »« less
HEAT TRANSFER TO A FLUID FLOWING TURBULENTLY IN A SMOOTH PIPE WITH WALLS AT CONSTANT TEMPERATURE

Technical Report Seban, R A ; Shimazaki, T
ON THE COEFFICIENT OF HYDRAULIC RESISTANCE DURING TURBULENT FLOW OF LIQUID IN SMOOTH PIPES (in Russian)

Journal Article Berlyand, O S - Gidrotekhnicheskoe Stroitel'stvo (U.S.S.R.)

Similar Records

Title: Cospectral budget of turbulence explains the bulk properties of smooth pipe flow

Citation Formats

Scaling of global properties of turbulence and skin friction in pipe and channel flows journal, May 2010

A First Course in Turbulence January 1972

Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers journal, July 1981

A Reynolds stress model for near-wall turbulence journal, April 1993

Models of the scalar spectrum for turbulent advection journal, October 1978

Existence of k − 1 power-law scaling in the equilibrium regions of wall-bounded turbulence explained by Heisenberg's eddy viscosity journal, December 2012

Spectral Theory of the Turbulent Mean-Velocity Profile journal, October 2010

Experimental support for the attached-eddy hypothesis in zero-pressure-gradient turbulent boundary layers journal, September 1990

Near-dissipation range in nonlocal turbulence journal, August 2008

The reactant concentration spectrum in turbulent mixing with a first-order reaction journal, November 1961

A functional form for the energy spectrum parametrizing bottleneck and intermittency effects journal, June 2008

Structure of Turbulent Velocity and Scalar Fields at Large Wavenumbers journal, January 1965

On the mechanism of wall turbulence journal, June 1982

Similarity and the Turbulent Energy Spectrum journal, January 1967

Turbulent flow in smooth and rough pipes journal, January 2007

The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers journal, July 1991

Scaling of the wall-normal turbulence component in high-Reynolds-number pipe flow journal, March 2007

A new friction factor relationship for fully developed pipe flow journal, August 2005

Universal Model of Finite Reynolds Number Turbulent Flow in Channels and Pipes journal, February 2008

Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity journal, January 1959

Friction factors for smooth pipe flow journal, January 1999

Turbulent Flows book, July 2012

Asymptotic similarity of turbulence structures in smooth- and rough-walled pipes journal, March 1977

Energy spectrum in the dissipation range of fluid turbulence journal, January 1997

Logarithmic scaling in the longitudinal velocity variance explained by a spectral budget journal, December 2013

On the Scaling Laws of the Velocity-Scalar Cospectra in the Canopy Sublayer Above Tall Forests journal, May 2012

Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment journal, June 1994

Progress in the development of a Reynolds-stress turbulence closure journal, April 1975

Spectrum of a passive scalar in moderate Reynolds number homogeneous isotropic turbulence journal, November 2009

High-order velocity structure functions in turbulent shear flows journal, March 1984

Universal equilibrium range of turbulence journal, January 1984

Roughness-Induced Critical Phenomena in a Turbulent Flow journal, January 2006

On the behavior of the velocity-scalar cross correlation spectrum in the inertial range journal, October 2004

Mean fields and fluctuation moments in unstably stratified turbulent boundary layers journal, March 1990

Local isotropy in turbulent boundary layers at high Reynolds number journal, June 1994

Statistical hydrodynamics journal, March 1949

Turbulent boundary layers in incompressible flow journal, January 1962

Turbulence: The Legacy of A. N. Kolmogorov book, January 1996

On the logarithmic region in wall turbulence journal, January 2013

Anisotropic Velocity Correlation Spectrum at Small Scales in a Homogeneous Turbulent Shear Flow journal, March 2002

The return to isotropy of homogeneous turbulence journal, June 2001

The Phenomenology of Small-Scale Turbulence journal, January 1997

The bottleneck effect and the Kolmogorov constant in isotropic turbulence journal, June 2010

Modelling of rapid pressure—strain in Reynolds-stress closures journal, June 1994

New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency journal, January 1998

Mean scalar concentration profile in a sheared and thermally stratified atmospheric surface layer journal, February 2013

Further Generalization of Onsager's Cascade Model for Turbulent Spectra journal, January 1964

Numerical study of the return of axisymmetric turbulence to isotropy journal, October 1978

Co-spectrum and mean velocity in turbulent boundary layers journal, September 2013

A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number journal, May 1962

Small-Scale Structure of a Scalar Field Convected by Turbulence journal, January 1968

Bottleneck phenomenon in developed turbulence journal, April 1994

Asymptotic scaling in turbulent pipe flow journal, January 2007

Pipe flow measurements over a wide range of Reynolds numbers using liquid helium and various gases journal, June 2002

Scaling of global properties of turbulence and skin friction in pipe and channel flows
journal, May 2010

A First Course in Turbulence
January 1972

Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers
journal, July 1981

A Reynolds stress model for near-wall turbulence
journal, April 1993

Models of the scalar spectrum for turbulent advection
journal, October 1978

Existence of $k^{- 1}$ power-law scaling in the equilibrium regions of wall-bounded turbulence explained by Heisenberg's eddy viscosity
journal, December 2012

Spectral Theory of the Turbulent Mean-Velocity Profile
journal, October 2010

Experimental support for the attached-eddy hypothesis in zero-pressure-gradient turbulent boundary layers
journal, September 1990

Near-dissipation range in nonlocal turbulence
journal, August 2008

The reactant concentration spectrum in turbulent mixing with a first-order reaction
journal, November 1961

A functional form for the energy spectrum parametrizing bottleneck and intermittency effects
journal, June 2008

Structure of Turbulent Velocity and Scalar Fields at Large Wavenumbers
journal, January 1965

On the mechanism of wall turbulence
journal, June 1982

Similarity and the Turbulent Energy Spectrum
journal, January 1967

Turbulent flow in smooth and rough pipes
journal, January 2007

The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers
journal, July 1991

Scaling of the wall-normal turbulence component in high-Reynolds-number pipe flow
journal, March 2007

A new friction factor relationship for fully developed pipe flow
journal, August 2005

Universal Model of Finite Reynolds Number Turbulent Flow in Channels and Pipes
journal, February 2008

Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
journal, January 1959

Friction factors for smooth pipe flow
journal, January 1999

Turbulent Flows
book, July 2012

Asymptotic similarity of turbulence structures in smooth- and rough-walled pipes
journal, March 1977

Energy spectrum in the dissipation range of fluid turbulence
journal, January 1997

Logarithmic scaling in the longitudinal velocity variance explained by a spectral budget
journal, December 2013

On the Scaling Laws of the Velocity-Scalar Cospectra in the Canopy Sublayer Above Tall Forests
journal, May 2012

Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment
journal, June 1994

Progress in the development of a Reynolds-stress turbulence closure
journal, April 1975

Spectrum of a passive scalar in moderate Reynolds number homogeneous isotropic turbulence
journal, November 2009

High-order velocity structure functions in turbulent shear flows
journal, March 1984

Universal equilibrium range of turbulence
journal, January 1984

Roughness-Induced Critical Phenomena in a Turbulent Flow
journal, January 2006

On the behavior of the velocity-scalar cross correlation spectrum in the inertial range
journal, October 2004

Mean fields and fluctuation moments in unstably stratified turbulent boundary layers
journal, March 1990

Local isotropy in turbulent boundary layers at high Reynolds number
journal, June 1994

Statistical hydrodynamics
journal, March 1949

Turbulent boundary layers in incompressible flow
journal, January 1962

Turbulence: The Legacy of A. N. Kolmogorov
book, January 1996

On the logarithmic region in wall turbulence
journal, January 2013

Anisotropic Velocity Correlation Spectrum at Small Scales in a Homogeneous Turbulent Shear Flow
journal, March 2002

The return to isotropy of homogeneous turbulence
journal, June 2001

The Phenomenology of Small-Scale Turbulence
journal, January 1997

The bottleneck effect and the Kolmogorov constant in isotropic turbulence
journal, June 2010

Modelling of rapid pressure—strain in Reynolds-stress closures
journal, June 1994

New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency
journal, January 1998

Mean scalar concentration profile in a sheared and thermally stratified atmospheric surface layer
journal, February 2013

Further Generalization of Onsager's Cascade Model for Turbulent Spectra
journal, January 1964

Numerical study of the return of axisymmetric turbulence to isotropy
journal, October 1978

Co-spectrum and mean velocity in turbulent boundary layers
journal, September 2013

A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
journal, May 1962

Small-Scale Structure of a Scalar Field Convected by Turbulence
journal, January 1968

Bottleneck phenomenon in developed turbulence
journal, April 1994

Asymptotic scaling in turbulent pipe flow
journal, January 2007

Pipe flow measurements over a wide range of Reynolds numbers using liquid helium and various gases
journal, June 2002