A quadrature of the two-dimensional equations of the hydrodynamics of an incompressible ideal liquid and a model of the flow around convex symmetric bodies with suction or injection
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A class of solutions of the steady-state hydrodynamic equations of an incompressible liquid has been considered in the Euler approximation when the pressure field is described by an additive function of the form P(x; y)=F(x)+G(y). It turns out that this class of solutions includes potential flows such as wave motion of a liquid with a finite depth, a flow inside a right angle, and a hypersonic gas flow around a sphere in the approximation of constant density near the stagnation point. Among nonpotential flows, this class includes, in particular, a hypersonic flow around a cylinder. The results obtained are used to construct a model of a flow around convex symmetric bodies with suction or injection. This model can be of interest in solving some problems of physicochemical technology, for example, separation of gas mixtures and isotopes.
KeywordsAdditive Function Stagnation Point Pressure Field Wave Motion Potential Flow
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