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Calibration of the Preston tube and limitations on its use in pressure gradients

Published online by Cambridge University Press:  28 March 2006

V. C. Patel
V. C. Patel
Affiliation:
Engineering Laboratory, Cambridge University
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Abstract

Preston's method of measuring skin friction in the turbulent boundary layer makes use of a circular Pitot tube resting on the wall. On the assumption of a velocity distribution in the wall region common to boundary layer and pipe flows the calibration curve for the Pitot tube can be obtained in fully developed pipe flow. Earlier experiments suggested that Preston's original calibration was in error, and a revised calibration curve has been obtained and is presented here.

From experiments in strong favourable and adverse pressure gradients, limits are assigned to the pressure-gradient conditions within which the calibration can be used with prescribed accuracy. It is shown that in sufficiently strong favourable gradients the ‘inner-law’ velocity distribution breaks down completely, and it is suggested that this breakdown is associated with reversion to laminar flow.

As an incidental result, values have been obtained for the constants occurring in the logarithmic expression for the inner-law velocity distribution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 1 , September 1965 , pp. 185 - 208
Copyright
© 1965 Cambridge University Press

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References

Bradshaw, P. & Gee, M. T. 1959 Note on the inner velocity profiles of non-equilibrium turbulent boundary layers. Aero. Res. Counc. 20, 889. (Unpublished).Google Scholar
Bradshaw, P. & Gregory, N. 1958 Calibration of Preston tubes on a flat plate using measurements of local skin friction. Aero. Res. Counc. 20, 199 (Unpublished).Google Scholar
Bradshaw, P. & Gregory, N. 1959 The determination of local turbulent skin friction from observations in the viscous sublayer. Aero. Res. Counc. R. & M. no. 3202.Google Scholar
Clauser, F. H. 1954 Turbulent boundary layers in adverse pressure gradients. J. Aero. Sci. 21, 91.Google Scholar
Fage, A. 1938 Profile and skin-friction aerofoil drags. Aero. Res. Counc. R. & M. no. 1852.Google Scholar
Gadd, G. E. 1960 A note on the theory of the Stanton tube. Aero. Res. Counc. R. & M. no. 3147.Google Scholar
Head, M. R. & Rechenberg, I. 1962 The Preston tube as a means of measuring skin friction. J. Fluid Mech. 14, 1.Google Scholar
Hool, J. N. 1956 Measurements of skin friction using surface tubes. Aircraft Engineering, 28, 52.Google Scholar
Kestin, J. & Richardson, P. D. 1963 Heat transfer across turbulent incompressible boundary layers. J. Heat and Mass Transfer, 6, 147.Google Scholar
Landweber, L. 1960 Reanalysis of boundary-layer data on a flat plate. Written discussion of Ninth International Towing Tank Conference, Paris, 1960. Iowa Institute of Hydraulic Research, State University of Iowa.
Ludwieg, H. & Tillmann, W. 1950 Investigation of the wall shearing stress in turbulent boundary layers. (Trans.) NACA TM no. 1285.Google Scholar
McMillan, F. A. 1957 Experiments on Pitot tubes in shear flow. Aero. Res. Counc. R. & M. no. 3028.Google Scholar
Mellor, G. L. 1964 Equilibrium turbulent boundary layers. Tech. Note. AIAA J. 2, 1650.Google Scholar
Preston, J. H. 1954 The determination of turbulent skin friction by means of Pitot tubes. J. Roy. Aero. Soc. 58, 109.Google Scholar
Rechenberg, I. 1963 Messung der turbulenten Wandschubspannung. A. Flugwiss, 11, 429.Google Scholar
Rotta, J. C. 1962 Turbulent boundary layers in incompressible flow. Progress in Aeronautical Sciences, 2, 72. London: Pergamon Press.
Sarnecki, A. J. 1959 The turbulent boundary layer on a permeable surface. Ph.D. Thesis, Cambridge University.
Schlinger, W. G. & Sage, B. H. 1953 Velocity distribution between parallel plates. Ind. Eng. Chem. 45, 2636.Google Scholar
Schubauer, G. B. & Klebanoff, P. S. 1951 Investigation of separation of the turbulent boundary layer. N A C A Rep. no. 1030.Google Scholar
Sergienko, A. A. & Gretsov, V. K. 1959 Transition from a turbulent to a laminar boundary layer. (Trans.) RAE Trans. no. 827.Google Scholar
Smith, K. G., Gaudet, L. & Winter, K. G. 1964 The use of surface Pitot tubes as skinfriction meters at supersonic speeds. Aero. Res. Counc. R. & M. no. 3361.Google Scholar
Smith, D. S. & Walker, J. H. 1958 Skin friction measurements in incompressible flow. NACA TN, no. 4231.Google Scholar
Staff Of The Aerodynamics Division, N. P. L. 1958 On the measurement of local surface friction on a flat plate by means of Preston tubes. Aero. Res. Counc. R. & M. no. 3185.
Stratford, B. S. 1959 An experimental flow with zero skin-friction throughout its region of pressure rise. J. Fluid Mech. 5, 17.Google Scholar
Taylor, G. I. 1938 Measurements with a half Pitot tube. Proc. Roy. Soc. A, 166, 476.Google Scholar
Thom, A. 1952 The flow at the mouth of a Stanton tube. Aero. Res. Counc. R. & M. no. 2984.Google Scholar
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97.Google Scholar
Townsend, A. A. 1962 The behaviour of a turbulent boundary layer near separation. J. Fluid Mech. 12, 536.Google Scholar
Trilling, L. & Hakkinen, R. J. 1955 The calibration of the Stanton tube as a skinfriction meter. 50 Jahre Grenzschichtforschung, p. 201. Braunschweig: Friedr. Vieweg und Sohn.