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Secondary flow in a curved tube

Published online by Cambridge University Press:  29 March 2006

D. Greenspan
D. Greenspan
Affiliation:
Computer Sciences Department, University of Wisconsin
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Abstract

The work of Dean and that of McConalogue & Srivastava on the steady motion of an incompressible fluid through a curved tube of circular cross-section is extended through the entire range of Reynolds numbers for which the flow is laminar. The coupled nonlinear system of partial differential equations which defines the motion is solved numerically by finite differences. Computer calculations are described and physical implications are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 1 , 23 January 1973 , pp. 167 - 176
Copyright
© 1973 Cambridge University Press

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References

Dean, W. R. 1927 Phil. Mag. 4, 208.
Dean, W. R. 1928 Phil. Mag. 5, 673.
Eustice, J. 1911 Proc. Roy. Soc. 885, 119.
Greenspan, D. 1968 Lectures on the Numerical Solution of Linear, Singular, and Nonlinear Differential Equations, p. 2. Prentice-Hall.
Greenspan, D. 1969 Computer J. 12, 89.
Mcconalogue, D. J. 1970 Proc. Roy. Soc. A315, 99.
Mcconalogue, D. J. & Srivastava, R. S. 1968 Proc. Roy. Soc. A307, 37.
Schubert, A. B. 1972 University of Wisconsin Computer Sci. Dept. Tech. Rep. no. 155 (appendix).
Taylor, G. I. 1929 Proc. Roy. Soc. A124, 243.