Solution of the linear problem of cavitation flow around a curvilinear arc

A method is proposed for the construction, without quadratures, of a solution to the linear problem of the flow of a gradientless stream around an arc of the curve y_n=f(x), whose derivativef(x)=g(x) at x=z is a meromorphic function in the plane z=x+iy. For flow around the arc of a parabola, with fully developed and partial cavitation, convenient finite formulas are obtained and numerical calculations are made. An analogous method may be used to construct, without quadratures, the solution of a number of other problems (a hydroplane, a grid, etc.).Cheboksary. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 34–38, January–February, 1972.