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.


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