Skip to main content Accessibility help
×
Home

Obtaining accurate mean velocity measurements in high Reynolds number turbulent boundary layers using Pitot tubes

  • S. C. C. Bailey (a1), M. Hultmark (a2), J. P. Monty (a3), P. H. Alfredsson (a4), M. S. Chong (a3), R. D. Duncan (a5), J. H. M. Fransson (a4), N. Hutchins (a3), I. Marusic (a3), B. J. McKeon (a6), H. M. Nagib (a5), R. Örlü (a4), A. Segalini (a4) (a7), A. J. Smits (a2) and R. Vinuesa (a5)...

Abstract

This article reports on one component of a larger study on measurement of the zero-pressure-gradient turbulent flat plate boundary layer, in which a detailed investigation was conducted of the suite of corrections required for mean velocity measurements performed using Pitot tubes. In particular, the corrections for velocity shear across the tube and for blockage effects which occur when the tube is in close proximity to the wall were investigated using measurements from Pitot tubes of five different diameters, in two different facilities, and at five different Reynolds numbers ranging from ${\mathit{Re}}_{\theta } = 11\hspace{0.167em} 100$ to 67 000. Only small differences were found amongst commonly used corrections for velocity shear, but improvements were found for existing near-wall proximity corrections. Corrections for the nonlinear averaging of the velocity fluctuations were also investigated, and the results compared to hot-wire data taken as part of the same measurement campaign. The streamwise turbulence-intensity correction was found to be of comparable magnitude to that of the shear correction, and found to bring the hot-wire and Pitot results into closer agreement when applied to the data, along with the other corrections discussed and refined here.

Copyright

Corresponding author

Email address for correspondence: scbailey@engr.uky.EDU

References

Hide All
Chue, S. H. 1975 Pressure probes for fluid measurement. Prog. Aerosp. Sci. 16 (2), 147223.
DeGraaff, D. B. & Eaton, J. K. 2000 Reynolds-number scaling of the flat-plate turbulent boundary layer. J. Fluid Mech. 422, 319346.
Dickinson, J. 1975 Turbulent skin friction techniques. Tech. Rep. Laval University, Quebec.
Goldstein, S. 1938 Modern developments in fluid dynamics. Proc. R. Soc. Lond. 155, 570575.
Hall, I. M. 1956 The displacement effect of a sphere in two-dimensional shear flow. J. Fluid Mech. 1, 142162.
Hites, M. H. 1997 Scaling of high-Reynolds number turbulent boundary layers in the National Diagnostic Facility. PhD thesis, Illinois Institiute of Technology.
Hoffman, K. A. & Chiang, S. T. 2000 Computational Fluid Dynamics, 4th edn, vol. I, Engineering Education System.
Hutchins, N. & Marusic, I. 2007 Large-scale influences in near-wall turbulence. Phil. Trans. R. Soc. A 365, 647664.
Hutchins, N., Monty, J. P., Ganapathisubramani, B., Ng, H. C. H. & Marusic, I. 2011 Three-dimensional conditional structure of a high-Reynolds-number turbulent boundary layer. J. Fluid Mech. 673, 255285.
Hutchins, N., Nickels, T. B., Marusic, I. & Chong, M. S. 2009 Hot-wire spatial resolution issues in wall-bounded turbulence. J. Fluid Mech. 635 (1), 103136.
Lighthill, M. J. 1957 Contributions to the theory of the Pitot-tube displacement effect. J. Fluid Mech. 2, 493512.
Ligrani, P. M. & Bradshaw, P. 1987 Spatial resolution and measurement of turbulence in the viscous sublayer using subminiature hot-wire probes. Exp. Fluids 5 (6), 407417.
Lindgren, B. & Johansson, A. V. 2002 Evaluation of the flow quality in the MTL wind-tunnel. Tech. Rep. 2002:13, Department of Mechanics, KTH, Stockholm, Sweden.
MacMillan, F. A. 1954 Viscous effects on Pitot tubes at low speeds. J. R. Aero. Soc. 58, 837839.
MacMillan, F. A. 1957 Experiments on Pitot tubes in shear flow. Ministry of Supply, Aero. Res. Council 3028.
Marusic, I. & Kunkel, G. J. 2003 Streamwise turbulence intensity formulation for flat-plate boundary layers. Phys. Fluids 15 (8), 24612464.
McKeon, B. J. 2007 Pressure-based velocity measurements. In Springer Handbook of Experimental Fluid Mechanics, pp. 216229. Springer.
McKeon, B. J., Li, J., Jiang, W, Morrison, J. F. & Smits, A. J. 2003 Pitot probe corrections in fully developed turbulent pipe flow. Meas. Sci. Technol. 14, 14491458.
McKeon, B. J. & Smits, A. J. 2002 Static pressure correction in high Reynolds number fully developed turbulent pipe flow. Meas. Sci. Technol. 13, 16081614.
Metzger, M. M., Klewicki, J. C., Bradshaw, K. L. & Sadr, R. 2001 Scaling the near-wall axial turbulent stress in the zero pressure gradient boundary layer. Phys. Fluids 13 (6), 18191821.
Mochizuki, S. & Nieuwstadt, F. T. M. 1996 Reynolds-number-dependence of the maximum in the streamwise velocity fluctuations in wall turbulence. Exp. Fluids 21, 218226.
Morrison, J. F., McKeon, B. J., Jiang, W. & Smits, A. J. 2004 Scaling of the streamwise velocity component in turbulent pipe flow. J. Fluid Mech. 508, 99131.
Nickels, T. B., Marusic, I., Hafez, S., Hutchins, N. & Chong, M. S. 2007 Some predictions of the attached eddy model for a high Reynolds number boundary layer. Phil. Trans. R. Soc. A 365, 807822.
Örlü, R. & Alfredsson, P. H. 2010 On spatial resolution issues related to time-averaged quantities using hot-wire anemometry. Exp. Fluids 49, 101110.
Örlü, R., Fransson, J. H. M. & Alfredsson, P. H. 2010 On near wall measurements of wall bounded flows: the necessity of an accurate determination of the wall position. Prog. Aerosp. Sci. 46, 353387.
Österlund, J. M. 1999 Experimental studies of zero pressure-gradient turbulent boundary layer flow. PhD thesis, KTH, Stockholm, Sweden.
Ozarapoglu, V. 1973 Measurements in incompressible turbulent flows. PhD thesis, Laval University.
Patel, V. C. 1965 Calibration of the Preston tube and limitations on its use in pressure gradients. J. Fluid Mech. 23, 185208.
Perry, A. E., Hafez, S. & Chong, M. S. 2001 A possible reinterpretation of the Princeton superpipe data. J. Fluid Mech. 439, 395401.
Schlatter, P. & Örlü, R. 2010 Assessment of direct numerical simulation data of turbulent boundary layers. J. Fluid Mech. 659, 116126.
Tavoularis, S. 2005 Measurement in Fluid Mechanics. Cambridge University Press.
Tavoularis, S. & Szymczak, M. 1989 Displacement effect of square-ended tubes in shear flows. Exp. Fluids 7, 3337.
Zagarola, M. V. & Smits, A. J. 1998 Mean-flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 3379.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

JFM classification

Related content

Powered by UNSILO

Obtaining accurate mean velocity measurements in high Reynolds number turbulent boundary layers using Pitot tubes

  • S. C. C. Bailey (a1), M. Hultmark (a2), J. P. Monty (a3), P. H. Alfredsson (a4), M. S. Chong (a3), R. D. Duncan (a5), J. H. M. Fransson (a4), N. Hutchins (a3), I. Marusic (a3), B. J. McKeon (a6), H. M. Nagib (a5), R. Örlü (a4), A. Segalini (a4) (a7), A. J. Smits (a2) and R. Vinuesa (a5)...

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.