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Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique. (English) Zbl 0899.76293

Summary: The paper discusses fully developed flow of viscous fluid through ducts of arbitrary cross-section. The method uses a constant velocity contour line in a typical cross-section of the duch as an independent variable. The amplitude of the oscillatory velocity is then obtained from an ordinary integro-differential equation. Several examples of a practical nature are given, with some that have not yet been discussed in the literature. All details are explained by graphs.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D99 Incompressible viscous fluids
30C20 Conformal mappings of special domains
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