Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 110
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Nugroho, Bagus Gnanamanickam, Ebenezer Kevin, Kevin Monty, Jason and Hutchins, Nicholas 2014. 52nd Aerospace Sciences Meeting.

    Klewicki, Joseph C. 2010. Reynolds Number Dependence, Scaling, and Dynamics of Turbulent Boundary Layers. Journal of Fluids Engineering, Vol. 132, Issue. 9, p. 094001.


    Zheng, Xiao-Bo and Jiang, Nan 2015. Experimental study on spectrum and multi-scale nature of wall pressure and velocity in turbulent boundary layer. Chinese Physics B, Vol. 24, Issue. 6, p. 064702.


    Morrill-Winter, C. and Klewicki, J. 2013. Influences of boundary layer scale separation on the vorticity transport contribution to turbulent inertia. Physics of Fluids, Vol. 25, Issue. 1, p. 015108.


    Keirsbulck, L. Fourrié, G. Labraga, L. and Gad-el-Hak, M. 2012. Scaling of statistics in wall-bounded turbulent flows. Comptes Rendus Mécanique, Vol. 340, Issue. 6, p. 420.


    Monty, J.P. Harun, Z. and Marusic, I. 2011. A parametric study of adverse pressure gradient turbulent boundary layers. International Journal of Heat and Fluid Flow, Vol. 32, Issue. 3, p. 575.


    Willert, Christian E. 2015. High-speed particle image velocimetry for the efficient measurement of turbulence statistics. Experiments in Fluids, Vol. 56, Issue. 1,


    Ahn, Junsun Lee, Jae Hwa Lee, Jin Kang, Ji-hoon and Sung, Hyung Jin 2015. Direct numerical simulation of a 30R long turbulent pipe flow at Reτ = 3008. Physics of Fluids, Vol. 27, Issue. 6, p. 065110.


    Buschmann, Matthias H. and Gad-el-Hak, Mohamed 2010. Normal and cross-flow Reynolds stresses: differences between confined and semi-confined flows. Experiments in Fluids, Vol. 49, Issue. 1, p. 213.


    Hultmark, Marcus Ashok, Anand and Smits, Alexander J 2011. A new criterion for end-conduction effects in hot-wire anemometry. Measurement Science and Technology, Vol. 22, Issue. 5, p. 055401.


    Dróżdż, A and Uruba, V 2014. Comparison of PIV and Hot-Wire statistics of turbulent boundary layer. Journal of Physics: Conference Series, Vol. 530, p. 012044.


    Meneveau, Charles and Marusic, Ivan 2013. Generalized logarithmic law for high-order moments in turbulent boundary layers. Journal of Fluid Mechanics, Vol. 719,


    Mathis, R. Marusic, I. Cabrit, O. Jones, N. L. and Ivey, G. N. 2014. Modeling bed shear-stress fluctuations in a shallow tidal channel. Journal of Geophysical Research: Oceans, Vol. 119, Issue. 5, p. 3185.


    Chin, C. Hutchins, N. Ooi, A. and Marusic, I. 2011. Spatial resolution correction for hot-wire anemometry in wall turbulence. Experiments in Fluids, Vol. 50, Issue. 5, p. 1443.


    Mehdi, Faraz Klewicki, J. C. and White, C. M. 2013. Mean force structure and its scaling in rough-wall turbulent boundary layers. Journal of Fluid Mechanics, Vol. 731, p. 682.


    Klewicki, J.C. 2013. On the Singular Nature of Turbulent Boundary Layers. Procedia IUTAM, Vol. 9, p. 69.


    Pirozzoli, Sergio and Bernardini, Matteo 2013. Probing high-Reynolds-number effects in numerical boundary layers. Physics of Fluids, Vol. 25, Issue. 2, p. 021704.


    Mathis, Romain Marusic, Ivan Chernyshenko, Sergei I. and Hutchins, Nicholas 2013. Estimating wall-shear-stress fluctuations given an outer region input. Journal of Fluid Mechanics, Vol. 715, p. 163.


    Trip, Renzo and Fransson, Jens H. M. 2014. Boundary layer modification by means of wall suction and the effect on the wake behind a rectangular forebody. Physics of Fluids, Vol. 26, Issue. 12, p. 125105.


    Vallikivi, M. Hultmark, M. Bailey, S. C. C. and Smits, A. J. 2011. Turbulence measurements in pipe flow using a nano-scale thermal anemometry probe. Experiments in Fluids, Vol. 51, Issue. 6, p. 1521.


    ×
  • Journal of Fluid Mechanics, Volume 635
  • September 2009, pp. 103-136

Hot-wire spatial resolution issues in wall-bounded turbulence

  • N. HUTCHINS (a1), T. B. NICKELS (a2), I. MARUSIC (a1) and M. S. CHONG (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112009007721
  • Published online: 10 September 2009
Abstract

Careful reassessment of new and pre-existing data shows that recorded scatter in the hot-wire-measured near-wall peak in viscous-scaled streamwise turbulence intensity is due in large part to the simultaneous competing effects of the Reynolds number and viscous-scaled wire length l+. An empirical expression is given to account for these effects. These competing factors can explain much of the disparity in existing literature, in particular explaining how previous studies have incorrectly concluded that the inner-scaled near-wall peak is independent of the Reynolds number. We also investigate the appearance of the so-called outer peak in the broadband streamwise intensity, found by some researchers to occur within the log region of high-Reynolds-number boundary layers. We show that the ‘outer peak’ is consistent with the attenuation of small scales due to large l+. For turbulent boundary layers, in the absence of spatial resolution problems, there is no outer peak up to the Reynolds numbers investigated here (Reτ = 18830). Beyond these Reynolds numbers – and for internal geometries – the existence of such peaks remains open to debate. Fully mapped energy spectra, obtained with a range of l+, are used to demonstrate this phenomenon. We also establish the basis for a ‘maximum flow frequency’, a minimum time scale that the full experimental system must be capable of resolving, in order to ensure that the energetic scales are not attenuated. It is shown that where this criterion is not met (in this instance due to insufficient anemometer/probe response), an outer peak can be reproduced in the streamwise intensity even in the absence of spatial resolution problems. It is also shown that attenuation due to wire length can erode the region of the streamwise energy spectra in which we would normally expect to see kx−1 scaling. In doing so, we are able to rationalize much of the disparity in pre-existing literature over the kx−1 region of self-similarity. Not surprisingly, the attenuated spectra also indicate that Kolmogorov-scaled spectra are subject to substantial errors due to wire spatial resolution issues. These errors persist to wavelengths far beyond those which we might otherwise assume from simple isotropic assumptions of small-scale motions. The effects of hot-wire length-to-diameter ratio (l/d) are also briefly investigated. For the moderate wire Reynolds numbers investigated here, reducing l/d from 200 to 100 has a detrimental effect on measured turbulent fluctuations at a wide range of energetic scales, affecting both the broadband intensity and the energy spectra.

Copyright
Corresponding author
Email address for correspondence: nhu@unimelb.edu.au
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

H. Abe , H. Kawamura & H. Choi 2004 Very large-scale structures and their effects on the wall shear-stress fluctuations in a turbulent channel flow up to Reτ = 640. J. Fluids Engng 126, 835843.


J. Andreopoulos , F. Durst , Z. Zaric & J. Jovanović 1984 Influence of Reynolds number on characteristics of turbulent wall boundary layers. Exp. Fluids 2, 716.


M. J. Barrett & D. K. Hollingsworth 2003 Heat transfer in turbulent boundary layers subjected to free-stream turbulence. Part 1. Experimental results. J. Turbomach. 125, 232241.


F. H. Champagne , C. A. Sleicher & O. H. Wehrmann 1967 Turbulence measurements with inclined hotwires. Part 1. Heat transfer experiments with inclined hot-wires. J. Fluid Mech. 28, 153175.

J. M. Cimbala & W. J. Park 1990 A direct hot-wire calibration technique to account for ambient temperature drift in incompressible flow. Exp. Fluids 8 (5), 299300.

G. Comte-Bellot 1976 Hot-wire anemometry. Annu. Rev. Fluid Mech. 8, 209231.


F. Durst , M. Fischer , J. Jovanović & H. Kikura 1998 Methods to set up and investigate low Reynolds nuymber, fully developed turbulent plane channel flows. J. Fluids Engng 120, 496503.

F. Durst , S. Noppenberger , M. Still & H. Venzke 1996 Influence of humidity on hot-wire measurements. Meas. Sci. Technol. 7, 15171528.


H. H. Fernholz , E. Krausse , M. Nockermann & M. Schober 1995 Comparative measurements in the canonical boundary layer at Reδ2 ≤ 6 × 104 on the wall of the German-Dutch windtunnel. Phys. Fluids 7 (6), 12751281.


P. Freymuth 1977 aFrequency response and electronic testing for constant-temperature hot-wire anemometers. J. Phys. E 10 (7), 705710.





N. Hutchins & I. Marusic 2007 bLarge-scale influences in near-wall turbulence. Phil. Trans. R. Soc. A 365, 647664.

K. Iwamoto , Y. Suzuki & N. Kasagi 2002 Reynolds number effect on wall turbulence: toward effective feedback control. Intl J. Heat Fluid Flow 23, 678689.


B. C. Khoo , Y. T. Chew , C. J. Teo & C. P. Lim 1999 Dynamic response of a hot-wire anemometer. Part 3. Voltage-perturbation versus velocity testing for near-wall hot-wire/film probes. Meas. Sci. Technol. 10, 152169.

K. C. Kim & R. Adrian 1999 Very large-scale motion in the outer layer. Phys. Fluids 11, 417422.



J. D. Li 2004 Dynamic response of constant temperature hot-wire system in turbulence velocity measurements. Meas. Sci. Technol. 15, 18351847.

J. D. Li , B. J. Mckeon , W. Jiang , J. F. Morrison & A. J. Smits 2004 The response of hot wires in high Reynolds-number turbulent pipe flow. Meas. Sci. Technol. 15, 789798.

P. M. Ligrani & P. Bradshaw 1987 Spatial resolution and measurement of turbulence in the viscous sublayer using subminiature hot-wire probes. Exp. Fluids 5, 407417.

L. Löfdahl , G. Stemme & B. Johansson 1989 A sensor based on silicon technology for turbulence measurements. J. Phys. E 22, 391393.

I. Marusic & G. J. Kunkel 2003 Streamwise turbulence intensity formulation for flat-plate boundary layers. Phys. Fluids 15, 24612464.

B. J. McKeon & J. F. Morrison 2007 Asymptotic scaling in turbulent pipe flow. Phil. Trans. R. Soc. A 365, 771787.

M. M. Metzger & J. C. Klewicki 2001 A comparative study of near-wall turbulence in high and low Reynolds number boundary layers. Phys. Fluids 13 (3), 692701.

M. M. Metzger , J. C. Klewicki , K. Bradshaw L. & R. Sadr 2001 Scaling the near-wall axial turbulent stress in the zero pressure gradient boundary layer. Phys. Fluids 13 (6), 18191821.

S. Mochizuki & F. T. M. Nieuwstadt 1996 Reynolds-number-dependence of the maximum in the streamwise velocity fluctuations in wall turbulence. Exp. Fluids 21, 218226.


S. C. Morris & J. F. Foss 2003 Transient thermal response of a hot-wire anemometer. Meas. Sci. Technol. 14, 251259.


R. D. Moser , J. Kim & N. N. Mansour 1999 Direct numerical simulation of turbulent channel flow up to Reτ = 590. Phys. Fluids 11, 943945.

H. Nagib & K. Chauhan 2008 Variations of von kármán coefficient in canonical flows. Phys. Fluids 20, 101518.

Y. P. Nekrasov & P. I. Savostenko 1991 Pressure dependence of hot-wire anemometer readings. Meas. Tech. 34 (5), 462465.


T. B. Nickels , I. Marusic , S. Hafez & M. S. Chong 2005 Evidence of the k1−1 law in a high-Reynolds-number turbulent boundary layer. Phys. Rev. Letters 95, 074501.

T. B. Nickels , I. Marusic , S. Hafez , N. Hutchins & M. S. Chong 2007 Some predictions of the attached eddy model for a high Reynolds number boundary layer. Phil. Trans. R. Soc. A 365, 807822.





P. Purtell , P. Klebanoff & F. Buckley 1981 Turbulent boundary layer at low Reynolds number. Phys. Fluids 24, 802811.


S. G. Saddoughi & S. V. Veeravalli 1996 Hot-wire anemometry behaviour at very high frequencies. Meas. Sci. Technol. 7, 12971300.

B. Stefes & H. H. Fernholz 2004 Skin friction and turbulence measurements in a boundary layer with zero-pressure-gradient under the influence of high intensity free-stream turbulence. European J. Mech. B 23, 303318.



W. W. Willmarth & T. J. Bogar 1977 Survey and new measurements of turbulent structure near the wall. Phys. Fluids Suppl. 20, S9.


L. A. Wyatt 1953 A technique for cleaning hot-wires used in anemometry. J. Sci. Instrum. 30, 1314.

J. C. Wyngaard 1968 Measurement of small-scale turbulence structure with hot-wires. J. Phys. E 1, 11051108.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax