The geometrical theory for the formation of asymmetric jet(I)-The geometrical close condition
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摘要: 两股来流碰撞形成非对称射流问题的定常解具有不确定性,理论上尚未很好求解。从分析特殊射流形成入手,由定常出流所满足的最小动能原理出发,分析来流初始交汇位形和相互作用过程,建立了非对称射流形成的方程封闭条件,提出了非对称射流形成的几何理论。以平面二维不等厚度来流碰撞为例,给出了非对称射流出流方向、厚度随初始位形变化的理论预测曲线,与数值模拟结果吻合较好。Abstract: The problem of asymmetric jet formation during the two-flow collision is theoretically unsolved yet, owing to steady solutions indeterminacy. Starting with special jets, we analyze the asymmetry between initial configuration of two incoming streams and their interaction. Based on principle of minimum kinetic energy, the close condition of equations is built, which is satisfied with the problem of asymmetric collision. The geometrical theory of asymmetric jet formation is given. Taking the collision of planar incoming streams with unequal thickness for example, we predict outgoing streams direction and size as a function of initial configuration of the incoming streams, which are in agreement with numerical results.
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Key words:
- fluid mechanics /
- close condition /
- solution ellipse /
- asymmetric jet /
- initial configuration /
- numerical simulation
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