Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-06T05:19:47.558Z Has data issue: false hasContentIssue false

The use of a fibre anemometer in turbulent flows

Published online by Cambridge University Press:  28 March 2006

D. J. Tritton
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore

Abstract

Quartz fibre anemometers have been used (as described in subsequent papers) to survey the velocity field of turbulent free convective air flows. This paper discusses the reasons for the choice of this instrument and provides the background information for its use in this way. Some practical points concerning fibre anemometers are mentioned. The rest of the paper is a theoretical study of the response of a fibre to a turbulent flow. An approximate representation of the force on the fibre due to the velocity field and the equation for a bending beam, representing the response to this force, form the basis of a consideration of the mean and fluctuating displacement of the fibre. Emphasis is placed on the behaviour when the spectrum of the turbulence is largely in frequencies low enough for the fibre to respond effectively instantaneously (as this corresponds to the practical situation). Incomplete correlation of the turbulence along the length of the fibre is taken into account. Brief mention is made to the theory of the higher-frequency (resonant) response in the context of an experimental check on the applicability of the low-frequency theory.

Type
Research Article
Copyright
© 1963 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

Batchelor, G. K. & Proudman, I. 1956 Phil. Trans. A, 248, 369.
Collis, D. C. 1956 J. Aero. Sci. 23, 697.
Comte-Bellot, G. 1961 C. R. Acad. Sci., Paris, 253, 2846.
Cooper, D. Le B. & Linton, E. P. 1934 Proc. Nova Scotian Inst. Sci. 19. 119.
Finn, R. K. 1953 J. Appl. Phys. 24, 771.
Grant, H. L. 1958 J. Fluid Mech. 4, 149.
Hinze, J. O. 1959 Turbulence. New York: McGraw-Hill.
Kraus, W. 1940 Phys. Z. 41, 126.
Kraus, W. 1955 Messungen des Temperatur- und Geschwindigkeitsfeldes bei freier Konvektion. Karlsruhe: Braun.
Liepmann, H. W. 1955 J. Aero. Sci. 22, 197.
Mickelsen, W. R. 1955 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3570.
Payne, R. B. 1958 J. Fluid Mech. 4, 81.
Powell, A. 1958 Chap. 8, Part I of Random Vibration (ed. S. H. Crandall. Massachusetts Technology Press.
Schmidt, E. 1934 Proc. 4th Intern. Congr. Appl. Mech. (Camb.), p. 92.
Schmidt, E. & Beckman, W. 1930 Tech. Mech. Thermodynam, 1, 341, 391.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1959 J. Fluid Mech. 5, 209.
Tritton, D. J. 1959a Phil. Mag. (8), 4, 780.
Tritton, D. J. 1959b J. Fluid Mech. 6, 547.
Tritton, D. J. 1960 Ph. D. thesis, University of Cambridge.
Tritton, D. J. 1963a J. Fluid Mech. 16, 282.
Tritton, D. J. 1963b J. Fluid Mech. (in the Press).
White, C. M. 1946 Proc. Roy. Soc. A, 186, 472.
Wills, J. A. B. 1962 J. Fluid Mech. 12, 388.