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arxiv: 1006.1515 · v1 · submitted 2010-06-08 · 🧮 math-ph · math.MP

The Flow of Newtonian Fluids in Axisymmetric Corrugated Tubes

classification 🧮 math-ph math.MP
keywords flowanalyticalcorrugatedfluidsmethodnewtoniantubetubes
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This article deals with the flow of Newtonian fluids through axially-symmetric corrugated tubes. An analytical method to derive the relation between volumetric flow rate and pressure drop in laminar flow regimes is presented and applied to a number of simple tube geometries of converging-diverging nature. The method is general in terms of fluid and tube shape within the previous restrictions. Moreover, it can be used as a basis for numerical integration where analytical relations cannot be obtained due to mathematical difficulties.

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