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Axisymmetric irrotational potential flows of an ideal fluid in doubly connected domains

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Amethod of constructing the model of ideal incompressible unbounded flow past an axisymmetric tube is developed; the tube shape and dimensions are determined in the process of the problem solution.… Click to show full abstract

Amethod of constructing the model of ideal incompressible unbounded flow past an axisymmetric tube is developed; the tube shape and dimensions are determined in the process of the problem solution. The problem is solved using the method of spatial annular sources and sinks. It is shown that under certain conditions the resulting flow corresponds to that past a round finite-length tube, whose wall has a finite thickness. It is established that near the tunnel entry the flow is considerably restructured.

Keywords: fluid doubly; irrotational potential; flows ideal; potential flows; axisymmetric irrotational; ideal fluid

Journal Title: Fluid Dynamics
Year Published: 2017

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