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Horizontal momentum jets in rotating basins

Published online by Cambridge University Press:  29 March 2006

Stuart B. Savage  and
Rodney J. Sobey
Stuart B. Savage
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada
Rodney J. Sobey
Affiliation:
Sonderforschungsbereich 80, Karlsruhe University, Karlsruhe, Germany Present address: Department of Engineering, James Cook University, Townsville 4811, Australia.
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Abstract

In order to prevent stagnation and improve water quality, the intakes of many water-supply reservoirs have the form of momentum jets directed approximately radially into the storage. An analysis which idealizes this flow as consisting of a turbulent jet issuing horizontally from a circular orifice into a large rotating basin of deep water shows that the jet path is a spiral whose length scale L depends upon the rate of rotation and the kinematic momentum of the jet. Good agreement is found with flow-visualization experiments when the basin depth h is ‘large’ (h/L [gsim ] 0·21). For small depths (h/L [lsim ] 0·024) the flow tends to be twodimensional and the jet path is found to be straight. Full-scale reservoirs are usually shallow enough that the effect of the earth's rotation on the jet path is likely to be small. However these reservoirs are not inordinately shallow and tests with distorted hydraulic models are likely to show significant effects of rotation and can be misleading to the unsuspecting.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 4 , 28 October 1975 , pp. 755 - 768
Copyright
© 1975 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. (eds) 1965 Handbook of Mathematical Functions, p. 300. Dover.
Albertson, M. L., Dai, Y. B., Jenson, R. A. & Rouse, H. 1950 Trans. A.S.C.E. 115, 639.
Cooley, P. & Harris, S. L. 1954 J. Inst. Water Engng, 8, 517.
Gadgil, S. 1971 J. Fluid Mech. 47, 417.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Newman, B. G. 1967 In Fluid Mechanics of Internal Flows(ed. G. Sovran), p. 170. Elsevier.
Proudman, J. 1916 Proc. Roy. Soc. A 92, 408.
Rosenhead, L. (ed.) 1963 Laminar Boundary Layers. Oxford University Press.
Savage, S. B. & Sobey, R. J. 1974 Horizontal momentum jets in rotating basins. Dept. Civil Engng Appl. Mech., McGill University Rep. FML 74–1.Google Scholar
Schlichting, H. 1968 Boundary Layer Theory. McGraw-Hill.
Sobey, R. J. 1973 Ph.D. thesis, Civil Engineering Department, Imperial College, London.
Taylor, G. I. 1917 Proc. Roy. Soc. A 93, 99.
Taylor, G. I. 1921 Proc. Roy. Soc. A 100, 114.
Van Dyke, M. 1969 Ann. Rev. Fluid Mech. 1, 265.