Abstract
The purpose of research-the study of the flow in the center of the centered isentropic compression waves. Gas-dynamic discontinuities cover shocks, shockwaves, interfaces and sliding surfaces and also the center of the centered compression wave one-dimensional and two-dimensional. For a long time there has been no analysis of the shockwave structures arising in the center of compression waves. At the same time, the problem of development of supersonic and hypersonic air inlets demands to consider the process of the stream isentropic compression. This problem is connected (three-dimensional case) to the problem of arising inside the streams of hinged shocks as opposite to the usual discontinuities not resulted by interaction of supersonic streams, waves and discontinuities, but like from nowhere. This study sets the problem for study in the terms of the developed theory of the interference of gas-dynamic discontinuities of the area of existing solutions for the structures of possible types. We have obtained the relations describing the parameters in the center of the compression wave. We have considered the neutral polar of neither compression meeting the case when in the center of the compression wave there neither shocks nor depression waves. The analysis of properties of the centered compression wave adds to the theory of stationary gas- dynamic discontinuities. We have specified the borders of the shock structure existence area optimal for development of supersonic diffusers.
Highlights
Objects of study are centered isentropic compression waves, mathematical model of the boundaries of the existence of different shock-wave structures in the center of the wave, as well as application of the theory developed for the design of isentropic air intakes.If to assign the form of a concave surface according to the equation of the streamline in the Prandtl-Mayer plane wave, when it is covered with a supersonic stream of the compression wave of the Centered Compression Wave (CCW) ωσ cross in the same point (Uskov and Bulat, 2012; Bulat and Bulat, 2013; Uskov and Chernishev, 2006a)
We have studied the domains of different Shockwave Structures (SWS) existence arising in the center of CCW
We have studied the compression polars
Summary
Objects of study are centered isentropic compression waves, mathematical model of the boundaries of the existence of different shock-wave structures in the center of the wave, as well as application of the theory developed for the design of isentropic air intakes.If to assign the form of a concave surface according to the equation of the streamline in the Prandtl-Mayer plane wave, when it is covered with a supersonic stream of the compression wave (characteristics) of the Centered Compression Wave (CCW) ωσ cross in the same point (point А in Fig. 1) (Uskov and Bulat, 2012; Bulat and Bulat, 2013; Uskov and Chernishev, 2006a). The angle of the stream turn β is specified by the following functional dependences: in the center of isentropic compression wave: β = ω It has the roots at the Mach number values equal to: Fig. 2: CCW with reflected discontinuity shock and depression wave
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