Newtonian Flow in Converging-Diverging Capillaries

Physics – Mathematical Physics

Scientific paper

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20 pages, 4 figures, 1 table. arXiv admin note: text overlap with arXiv:1006.1515

Scientific paper

The one-dimensional Navier-Stokes equations are used to derive analytical expressions for the relation between pressure and volumetric flow rate in capillaries of five different converging-diverging axisymmetric geometries for Newtonian fluids. The results are compared to previously derived expressions for the same geometries using the lubrication approximation. The results of the one-dimensional Navier-Stokes are identical to those obtained from the lubrication approximation within a non-dimensional numerical factor.

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