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Corrections of hot-wire anemometer measurements near walls

Published online by Cambridge University Press:  20 April 2006

J. C. Bhatia ,
F. Durst  and
J. Jovanovic
J. C. Bhatia
Affiliation:
Sonderforschungsbereich 80, Ausbreitungs- und Transportvorgänge in Strömungen, Universität Karlsruhe, Kaiserstraße 12, D-7500 Karlsruhe, F.R.G.
F. Durst
Affiliation:
Sonderforschungsbereich 80, Ausbreitungs- und Transportvorgänge in Strömungen, Universität Karlsruhe, Kaiserstraße 12, D-7500 Karlsruhe, F.R.G.
J. Jovanovic
Affiliation:
Sonderforschungsbereich 80, Ausbreitungs- und Transportvorgänge in Strömungen, Universität Karlsruhe, Kaiserstraße 12, D-7500 Karlsruhe, F.R.G.
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Abstract

Applications of hot-wire anemometers to velocity rneaaurements near walls can result in erroneous velocity data owing to additional heat losses to the wall. It is difficult to account for these errors if calibration data are used that were obtained in calibration test rigs without walls. This has been recognized in many studies in which hot-wires were applied to measurements in wall boundary-layer flows and different suggestions for corrections have been given. The present paper summarizes these suggested corrections and points out existing differences. It is also shown that some hot-wire measurements have been performed without any corrections being applied and reasons for this are given. Whereas most of the existing suggestions for wall corrections of hot-wire data are based on experiments, the present approach uses results of a numerical study.

Assuming the problem to be two-dimensional and that the wire can be replaced by a line source of heat, a numerical study is carried out for the temperature distribution downstream of the wire, and computations are performed for the heat loss from the wire in presence of the wall. Computations are performed for two Merent boundary conditions representing ideally conducting and non-conducting materials. These different boundary conditions yield large differences in the computed heat losses from the wire, and these explain the existing differences in the experimentally obtained corrections. The numerical study also shows that the large heat losses for conducting walls are due to the distorted temperature distribution in the temperature wake of the wire.

Some of the results of the numerical studies were experimentally verified by the authors and a procedure haa been developed to correct instantaneous hot-wire readings for additional heat losses to a wall. For non-conducting walls, the heat losses are much smaller and are negligible for most practical measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 122 , September 1982 , pp. 411 - 431
Copyright
© 1982 Cambridge University Press

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References

Andreopoulos, J., Durst, F. & Jovanovic, J. 1981 Computer program for statistical analysis of hot-wire signals. University of Karlsruhe, SFB 80 Rep. (in preparation).Google Scholar
Alcaraz, E. & Mathieu, J. 1975 Mesure des vitesses moyennes près d'une paroi par anémomérie à fil chaud. C.R. Acad. Sci. Paris, Ser. A, 280, 737–740.Google Scholar
Bruun, H. H. & Tropea, C. 1979 The SFB 80 nozzle calibration facility. University of Karlsruhe, SFB 80 Rep. SFB 80/M/141.Google Scholar
Chauve, M. P. 1980 Determination des contraintes de frottement à là paroi par anémométrie à fil chaud. Communication presented at EUROMECH 132 Lyon, 2–4 July 1980.
Clark, J. A. 1968 A study of incompressible turbulent boundary layers in channel flow. Trans. A.S.M.E. D, J. Basic Engng 90, 455–468.Google Scholar
Comte-Bellot, G. 1965 Ecoulement turbulent entre deux parois parallèles. Pub. Sci. et Tech. no. 419, Paris.
Eckelmann, H. 1970 An experimental investigation of a turbulent channel flow with a thick viscous sublayer. Mitteilungen Max-Planck-Institut, Göttingen nr. 48.
Gupta, A. K. & Kaplan, R. E. 1972 Statistical characteristics of Reynolds stress in turbulent boundary layer. Phys. Fluids 15, 981–985.Google Scholar
Hebbar, K. S. 1980 Wall proximity corrections for hot-wire readings in turbulent flows. DISA Information, no. 25, pp. 15–16.
Lauwerier, H. A. 1954 Diffusion from a source in a skew velocity field. Appl. Sci. Res. A 4, 153–156.Google Scholar
Oka, S. & Kostic, Z. 1972 Influence of wall proximity on hot-wire on velocity measurements. DISA Information no. 13, pp. 29–33.
Piebcy, N. A. N., Richardson, E. G. & Winny, H. F. 1956 On the convection of heat from a wire moving through air close to a cooling surface. Proc. Phys. Soc. B 69, 731–742.Google Scholar
Polyakov, A. F. & Shindin, S. A. 1978 Peculiarities of hot-wire measurements of mean velocity and temperature in the wall vicinity. Lett. Heat Mass Transfer 5, 53–58.Google Scholar
Reichardt, H. 1940 Die Wärmeübertragung in turbulenten Reibungsschichten. Z. angew. Math. Mech. 20, 297–328.Google Scholar
Singh, U. K. & Shaw, R. 1972 Hot-wire anemometer measurements in turbulent flow close to a wall. In Proc. DISA Conf.
Van Thinh, N. 1969 On some measurements made by means of a hot-wire in a turbulent flow near a wall. DISA Information no. 7, pp. 13–18.Google Scholar
Wills, J. A. B. 1962 The correction of hot-wire readings for proximity to a solid boundary. J. Fluid Mech. 12, 388–396.Google Scholar
Zarč, Z. 1972 Wall turbulence studies. Adv. Heat Transfer 8, 285–350.Google Scholar