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The flow without separation around a circular cylindrical shell. (Russian) Zbl 0562.76046

Already earlier the author together with Eh. F. Rapoport has studied the jet stream around an elastic shell of small curvature [Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1977, No.2, 24-32 (1977; Zbl 0378.76039)]. Continuing these investigations now the plane symmetric potential flow without separation around a cylindrical shell of circular cross-section by an ideal incompressible liquid is investigated. By means of methods of the theory of functions of a complex variable the problem considered is reduced to the solution of a nonlinear operator equation. Criteria for the unique solvability of this operator equation are proved and an effective algorithm for the approximate calculation of the solution is constructed.
Reviewer: K.Barckow

MSC:

76E30 Nonlinear effects in hydrodynamic stability
76-04 Software, source code, etc. for problems pertaining to fluid mechanics

Citations:

Zbl 0378.76039
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