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An experimental investigation of low Reynolds number secondary streaming effects associated with an oscillating viscous flow in a curved pipe

Published online by Cambridge University Press:  29 March 2006

Arnold F. Bertelsen
Arnold F. Bertelsen
Affiliation:
Department of Physics, University of Bergen, Norway
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Abstract

This paper deals with nonlinear streaming effects in an oscillating fluid in a curved pipe. The secondary steady velocity field in the cross-sectional plane of the pipe is studied in detail. Our experimental results are compared with the theory of Lyne (1970; that part of his theory which is valid for Reynolds numbers Rs [Lt ] 1) and the theory of Zalosh & Nelson (1973). On the basis of these comparisons we conclude that the theories are in practice valid for higher Reynolds numbers Rs than was formally expected.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 3 , 12 August 1975 , pp. 519 - 527
Copyright
© 1975 Cambridge University Press

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References

Bertelsen, A. F. 1974 Dept. Phys., University of Bergen, Norway, Rep. no. 67.
Drinker, P. A., Bartlett, R. H., Bialer, R. H. & Noyes, B. S. 1969 Surgery, 66, 775–781.
Hart, H. & Schuetz, R. D. 1966 Organic Chemistry, 3rd edn. Boston: Houghton Mifflin.
Kuwahara, K. & Imai, I. 1969 Phys. Fluids Suppl. 12, II 94–101.
Lyne, W. H. 1970 Ph.D. thesis, University of London.
Lyne, W. H. 1971 J. Fluid Mech. 45, 13–31.
Melrose, D. G., Burns, N., Singh, M. P., Elliott, R. L., Read, R., Williams, F. E., Becket, J., Lamb, M. P. & Adams, J. S. 1972 Biomed. Engng, 7, 60–66.
Zalosh, R. G. & Nelson, W. G. 1973 J. Fluid Mech. 59, 693–705.