Abstract
The solution of the problem of fluid flow inside a cone with a small vertex angle is obtained in closed form. The conditions of occurrence of singular separation are considered within the framework of conical flow theory. A class of conical flows in which the vorticity is transported along streamlines of the potential velocity component is detected.
Quasi-conical incompressible fluid flow, i.~e. a flow inside and outside an axisymmetric body with power-law generators is defined by analogy with supersonic compressible fluid flow. The conditions under which the effect of vorticity and swirling is significant are found as a result of an inspection analysis. An approximate solution of the problem of fluid flow inside a zero corner is found.
A coordinate expansion representing a plane analog of conical flow is constructed in the neighborhood of the separation point of a creeping flow on a smooth surface.
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Betyaev, S.K. Conical and Quasi-Conical Incompressible Fluid Flows. Fluid Dynamics 38, 581–591 (2003). https://doi.org/10.1023/A:1026377928947
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DOI: https://doi.org/10.1023/A:1026377928947