Abstract
We consider the flow at the inlet to the suction sq uare hole with sharp edges, which is located in an infinite space. The purpose of this study is to con struct a mathematical model of flow separation at t he entrance to square suction canal with sharp edges, located in infinite space, by using square vortex frameworks. As a part of ideology of the method of discrete vortices in the non-stationary quasiaxisymmetric formulation, we constructed the mathematical model of separated flow at the inlet to the square aspirating pipe and its software-algorithmic implementation. We have determined the velocity field at the entrance to suction channel and a line of flow separation. Determine the velocity field i n typical cross-sections of the suction channel, dime nsions of the efficient absorption, compression rat io of the jet. Were received analytical formulas for calc ulating separation surfaces current. Profiling the entrance opening of the suction hole detected on th e outlines separation surface will improve the acou stic and aerodynamic properties of the exhaust systems. The obtained results can be useful for designing of local exhaust ventilation of reduced energy consump tion.
Highlights
(Averkova et al, 2010; 2013b; 2013d) solved problems of separated flows at the entrance to circular tube with
The purpose of this study is to construct a mathematical model of flow separation at the entrance to square suction canal with sharp edges, located in infinite space, by using square vortex frameworks
As a part of ideology of the method of discrete vortices in the non-stationary quasiaxisymmetric formulation, we constructed the mathematical model of separated flow at the inlet to the square aspirating pipe and its software-algorithmic implementation
Summary
(Averkova et al, 2010; 2013b; 2013d) solved problems of separated flows at the entrance to circular tube with. Straight and circular vortexes, the use of which does not Separated flows at the inlet to the suction channels allow to solve spatial problems. The purpose of this were considered in two-dimensional formulation: Plane and axisymmetric Using the methods of complex variable theory is only possible for flat separated flows sharp edges, located in infinite space, by using square vortex frameworks. The method of singular integral equations (Ginevsky and Zhelannikov, 2009; Marshall and Shuiqing, 2014) and in particular the
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