Low Reynolds number flow in slowly varying axisymmetric tubes
- 13 September 1971
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 49 (03) , 451-459
- https://doi.org/10.1017/s0022112071002192
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.Keywords
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