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Low Reynolds number flow in slowly varying axisymmetric tubes

Published online by Cambridge University Press:  29 March 2006

M. J. Manton
M. J. Manton
Affiliation:
Department of Mechanical Engineering, University of Sydney, Sydney, Australia
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Abstract

An asymptotic series solution is obtained for the low Reynolds number flow through an axisymmetric tube whose radius varies slowly in the axial direction. Expressions for the pressure drop along the tube and the shear stress at the wall are derived. The analysis is applicable to such problems as the flow through viscometric capillary tubes and the flow through blood vessels.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 49 , Issue 3 , 15 October 1971 , pp. 451 - 459
Copyright
© 1971 Cambridge University Press

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References

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