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Some problems concerning the production of a linear shear flow using curved wire-gauze screens

Published online by Cambridge University Press:  11 April 2006

I. P. Castro
Affiliation:
Central Electricity Generating Board, Marchwood Engineering Laboratories, Marchwood, Southampton, England

Abstract

The flow of an incompressible fluid through a curved wire-gauze screen of arbitrary shape is reconsidered. Some inconsistencies in previously published papers are indicated and the various approximations and linearizations (some of which are necessary for a complete analytic solution) are discussed and their inadequacies demonstrated. Attention is concentrated on the common practical problem of calculating the screen shape required to produce a linear shear flow and experimental work is presented which supports the contention that the theoretical solutions proposed by Elder (1959)–subsequently discussed by Turner (1969) and Livesey & Laws (1973)-and Lau & Baines (1968) are inadequate, although, for the case of small shear, Elder's theory appears to be satisfactory. Since, in addition, there are inevitable difficulties concerning both the value of the deflexion coefficient appropriate to any particular screen and inhomogeneities in the screen itself, it is concluded that the preparation of a curved screen to produce the commonly required moderate to large linear shear flow is bound to be somewhat empirical and should be attempted with caution.

Type
Research Article
Copyright
© 1976 Cambridge University Press

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References

Baines, W. D. & Peterson, E. G. 1951 Trans. A.S.M.E. 73, 467.
Bradshaw, P. 1965 J. Fluid Mech. 22, 679.
Chan, A. 1971 M.Sc. thesis, Imperial College, London.
Cockrell, D. I. & Lee, B. E. 1966 J. Roy. Aero. Soc. Tech. Note, no. 70, p. 724.
Davis, G. 1957 Ph.D. thesis, University of Cambridge.
Elder, J. W. 1959 J. Fluid Mech. 5, 355.
Jackson, N. A. 1972 J. Roy. Aero. Soc., 251.
Kotansky, D. R. 1966 A.I.A.A. J. 4, 1490.
Lau, T. L. & Baines, W. D. 1968 J. Fluid Mech. 33, 721.
Livesey, J. L. & Laws, E. M. 1972 A.I.A.A. Paper, no. 72–165.
Livesey, J. L. & Laws, E. M. 1973 J. Fluid Mech. 59, 737.
Livesey, J. L. & Turner, J. T. 1964 J. Fluid Mech. 20, 201.
Maull, D. J. 1969 The wake characteristics of a bluff body in a shear flow. Aerodynamics of Atmospheric Shear Flows. Proc. Agard. Conf. no. 48.Google Scholar
Owen, P. R. & Zienkiewicz, K. H. 1957 J. Fluid Mech. 2, 521.
Rose, W. G. 1970 J. Fluid Mech. 44, 767.
Taylor, G. I. & Batchelor, G. K. 1949 Quart. J. Mech. Appl. Math. 2, 1.
Turner, J. T. 1969 J. Fluid Mech. 36, 367.