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The use of flush-mounted hot-film gauges to measure skin friction in unsteady boundary layers

Published online by Cambridge University Press:  21 April 2006

A. N. Menendez
Affiliation:
Laboratorio de Hidraulica Applicada, INCYTH. Buenos Aires, Argentina
B. R. Ramaprian
Affiliation:
Department of Mechanical Engineering and Institute of Hydraulic Research. The University of Iowa, Iowa City, Iowa 52242 Current address: Department of Mechanical Engineering, Washington State University, Pullman, Washington 99164-2920.

Abstract

Flush-mounted hot-film gauges have proved very effective in measuring skin friction in steady laminar and turbulent boundary-layer flows. Their use is based on the analogy between momentum and heat transfer in the boundary layer. An extension of this technique for use with unsteady flows is presented, through the formulation of a more general relationship between the rates of heat and momentum transfer at the wall. The accuracy of the new formula and the range of its applicability are examined for the case of a periodic boundary layer, both in the laminar and turbulent regimes. This is accomplished by comparing the formula against exact numerical solutions of the differential equations. The present extension allows one to apply the hot-film technique to general unsteady-flow situations, including the measurement of the spectral density of wall-shear-stress fluctuations in steady turbulent flows.

Type
Research Article
Copyright
© 1985 Cambridge University Press

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References

Acharya, M. & Reynolds, W. C. 1975 Measurements and predictions of a fully developed turbulent channel flow with imposed controlled oscillations. Stanford University, Tech. Rep. TF-8.
Bellhouse, B. J. & Schultz, D. L. 1966 Determination of mean and dynamic skin friction, separation and transition in low-speed flow with a thin-film heated element. J. Fluid Mech. 24, 379400.Google Scholar
Curle, N. 1962 The Laminar Boundary Layer Equations. Oxford University Press.
Hanratty, T. J. & Campbell, J. A. 1980 Measurement of wall shear stress. Dept. of Chem. Engng, University of Illinois, Urbana, Illinois, Rep.
Kaiping, P. 1983 Unsteady forced convective heat transfer from a hot film in non-reversing and reversing shear flow. Trans. ASME C: J. Heat Transfer 26, 545557.Google Scholar
Kays, W. M. & Crawford, M. E. 1980 Convective Heat and Mass Transfer. McGraw-Hill.
Liepmann, H. & Skinner, G. 1954 Shearing-stress measurements by use of a heated element. NACA TN No. 3268.
Ludwieg, H. 1950 Instruments for measuring the wall shearing stress of turbulent boundary layers. NACA TM 1284.
Menendez, A. N. & Ramaprian, B. R. 1982 Calculation of unsteady boundary layers. IIHR Rep. No. 248, The University of Iowa.
Menendez, A. N. & Ramaprian, B. R. 1983 Study of unsteady turbulent boundary layers. IIHR Rep. No. 270, The University of Iowa.
Menendez, A. N. & Ramaprian, B. R. 1984a Prediction of periodic boundary layers. Intl J. Numer. Meth. Fluids 4, 781800.Google Scholar
Menendez, A. N. & Ramaprian, B. R. 1984b On the measurement of skin friction in unsteady boundary layers using a flush-mounted hot-film gage. IIHR Rep. No. 272, The University of Iowa.
Myers, G., Schauer, J. & Eustis, R. 1963 Plane turbulent wall jet flow development and friction factor. Trans. ASME D: J. Basic Engng 85, 47.Google Scholar
Pedley, T. J. 1972 On the forced heat transfer from a hot film embedded in the wall in two dimensional unsteady flow. J. Fluid Mech. 55, 329357.Google Scholar
Pedley, T. J. 1976 Viscous boundary layers in reversing flow. J. Fluid Mech. 74, 5979.Google Scholar
Ramaprian, B. R. & Tu, S. W. 1983 Calibration of a heat flux gage for skin friction measurement. Trans. ASME I: J. Fluids Engng 105, 455457.Google Scholar
Sandborn, V. A. 1979 Evaluation of the time-dependent surface shear stress in turbulent flows. ASME Paper 79-WA/FE-17.
Tu, S. W. & Ramaprian, B. R. 1983 Fully developed periodic turbulent pipe-flow. Part 1. Main experimental results and comparison with predictions. J. Fluid Mech. 137, 3158.Google Scholar
White, F. M. 1974 Viscous Fluid Flow. McGraw-Hill.