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The effects of certain low frequency phenomena on the calibration of hot wires

Published online by Cambridge University Press:  19 April 2006

A. E. Perry
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Victoria 3052, Australia
A. J. Smits
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Victoria 3052, Australia
M. S. Chong
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Victoria 3052, Australia

Abstract

Temperature-sensitive constant-current wires operating at very low resistance ratios have been tested for temperature fluctuation response. A significant step in the response was found to occur with a centre-frequency of typically 1/6 Hz. The step size was observed to be as large as 30% and grew from zero to its maximum value in about a decade. Analysis shows that this phenomenon is associated with axial conduction of heat to and from the prongs. If it is recognized that prongs have finite thermal inertia then a modification of the boundary conditions to the equations of Betchov (1948) predicts this step, in agreement with the simple asymptotic analysis of Maye (1970).

Experiments indicate that a similar phenomenon occurs with velocity-sensitive wires. Axial conduction appears to be the most likely cause. Aeroelastic deflexions and non-uniform cooling caused by bowing of the wire make precise predictions impossible. Here the differences in step size between wires were observed to be as large as 10% (or 20% in mean-square energy), the centre-frequency was usually beyond 10 Hz for the wires tested and the step extended over a much broader frequency range than in the temperature-sensitive case. The effect occurred at all velocities, resistance ratios and wire geometries. An analysis based on non-uniform cooling of the wire filament predicts the correct frequency range and shows that steps of 10% in frequency response are quite plausible.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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References

Betchov, R. 1948 Proc. Ned. Akad. Wetenschappen 51, 721.
Champagne, F. H., Sleicher, C. A. & Wehrmann, O. H. 1967 J. Fluid Mech. 28, 153175.
Haan, R. E. de 1971 Appl. Sci. Res. 24, 231.
Hinze, J. O. 1959 Turbulence, chap. 2. McGraw-Hill.
Maye, J. P. 1970 DISA Inf. no. 9.
Perry, A. E. 1972 J. Sound Vib. 22, 41.
Perry, A. E. & Morrison, G. L. 1971a J. Fluid Mech. 47, 765.
Perry, A. E. & Morrison, G. L. 1971b J. Fluid Mech. 50, 815.
Perry, A. E. & Morrison, G. L. 1972 J. Phys. E 5, 1004.
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