Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-18T17:50:31.506Z Has data issue: false hasContentIssue false

Measurements of local skin friction in a microbubble-modified turbulent boundary layer

Published online by Cambridge University Press:  20 April 2006

N. K. Madavan
Affiliation:
The Department of Mechanical Engineering and the Applied Research Laboratory, The Pennsylvania State University, University Park, PA 16802
S. Deutsch
Affiliation:
The Department of Mechanical Engineering and the Applied Research Laboratory, The Pennsylvania State University, University Park, PA 16802
C. L. Merkle
Affiliation:
The Department of Mechanical Engineering and the Applied Research Laboratory, The Pennsylvania State University, University Park, PA 16802

Abstract

Local skin-friction reductions have been measured using an array of flush-mounted hot-film probes in a microbubble-modified, zero-pressure-gradient, turbulent bounddary layer. The results of earlier integrated skin-friction measurements, that showed the reduction to be a function of plate orientation, gas-flow rate and free-stream velocity, have been confirmed both qualitatively and quantitatively. With the measurement plate oriented so that buoyancy keeps the bubbles in boundary layer, it is shown that skin friction is reduced monotonically for all air-flow rates at each of three free-stream velocities between 4 and 17 m/s. For the opposite plate orientation it is possible for increasing gas injection to lead to smaller local skin-friction reduction at the lowest speeds. Drag reduction appears to persist for as much as 60–70 boundary-layer thicknesses downstream of the injection region. It is further shown, using a probe flush-mounted just upstream of the injection section, that there is no apparent upstream interference due to the gas injection. Spectral measurements indicate that microbubbles can cause a reduction of high-frequency shear-stress fluctuations. This suggests a destruction of some of the turbulence in the near-wall region.

Type
Research Article
Copyright
© 1985 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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, 379.Google Scholar
Bogdevich, V. G. & Evseev, A. R. 1976 Effect of gas saturation on wall turbulence. In Investigations of Boundary Layer Control (in Russian) (eds. S. S. Kutateladze & G. S. Migirenko), p. 49. Thermophysics Institute Publishing House.
Bogdevich, V. G. & Malyaga, A. G. 1976 The distribution of skin friction in a turbulent boundary layer of water beyond the location of gas injection. In Investigations of Boundary Layer Control (in Russian) (ed. S. S. Kutateladze & G. S. Migirenko), p. 62. Thermophysics Institute Publishing House.
Bradshaw, P. & Gregory, N. 1961 The determination of local turbulent skin friction from observations in the viscous sublayer. Aero. Res. Counc. R & M 3202.
Brown, G. L. 1967 Theory and application of heated films for skin friction measurements. Proc. 1967 Heat Transfer and Fluid Mech. Inst. p. 361. Stanford University Press.
Coles, D. E. 1968 The young person's guide to the data. Proc. AFOSR-IFP Stanford Conference on Computation of Turbulent Boundary Layers (ed. D. E. Coles & E. A. Hirst). Stanford University Press.
Eckelmann, H. 1974 The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439.Google Scholar
Fortuna, G. & Hanratty, T. J. 1972 The influence of drag-reducing polymers on turbulence in the viscous sublayer. J. Fluid Mech. 53, 515.Google Scholar
Hanratty, T. J. & Campbell, J. A. 1982 Measurement of wall shear stress. In Fluid Mechanics Measurements (ed. R. J. Goldstein). Hemisphere Publishing Corporation.
Hughes, N. H., Reischmann, M. M. & Holzmann, J. M. 1979 Digital image analysis of two phase flow data. 6th Bienn. Symp. on Turbulence, University of Missouri, Rolla.
Laufer, J. 1950 Investigation of turbulent flow in a two dimensional channel. NACA Rep. TN 2123.
Liepmann, H. & Skinner, G. 1954 Shearing-stress measurements by use of a heated element. NACA TN 3268.
Madavan, N. K. 1984 The effects of microbubbles on turbulent boundary layer skin friction. Ph.D. thesis, Dept. of Mech. Engng, The Pennsylvania State University.
Madavan, N. K., Deutsch, S. & Merkle, C. L. 1984a Reduction of turbulent skin friction by microbubbles. Phys. Fluids 27, 356.Google Scholar
Madavan, N. K., Deutsch, S. & Merkle, C. L. 1984b The effect of porous material on microbubble skin friction reduction. AIAA Paper 84-0348.
Migirenko, G. S. & Evseev, A. R. 1974 Turbulent boundary layer with gas saturation. In Problems of Thermophysics and Physical Hydrodynamics (in Russian). Novosibirsk, Nauka.
Mitchell, J. E. & Hanratty, T. J. 1966 A study of turbulence at a wall using an electrochemical wall shear stress meter. J. Fluid Mech. 26, 199.Google Scholar
Purtell, L. P., Klebanoff, P. S. & Buckley, F. T. 1981 Turbulent boundary layer at low Reynolds number. Phys. Fluids 24, 802.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 104, 455Google Scholar
Sandborn, V. A. 1979a Surface shear stress fluctuations in turbulent boundary layers. Second Symp. on Turbulent Shear Flows, Imperial College, London, p. 361.
Sandborn, V. A. 1979b Evaluation of the time dependent surface shear stress in turbulent flows. ASME Preprint 79-WA/FE-17.
Silberman, E. 1957 Production of bubbles by the disintegration of gas jets in liquid. In Proc. 5th Midwestern Conf. on Fluid Mech., University of Michigan, p. 263.
Sirkar, K. K. & Hanratty, T. J. 1970 The limiting behaviour of the turbulent transverse velocity component close to a wall. J. Fluid Mech. 44, 589.Google Scholar
White, F. M. 1974 Viscous Fluid Flow. McGraw-Hill Publishing Co.