ADJOINT SYSTEM INTEGRALS FOR OPTIMAL SPACE N-IMPULSE TRANSFER

ＴｈｅｅｘｔｒｅｍａｌｍｅｔｈｏｄｅｓｔａｂｌｉｓｈｅｄｂｙＢｒｅａｋｗｅｌｌ[1]ｉｓａｐｏｗｅｒｆｕｌｎｕｍｅｒｉｃａｌｍｅａｓｕｒｅｉｎｓｏｌｖｉｎｇｔｈｅｐｒｏｂｌｅｍｏｆｏｐｔｉｍａｌｉｍｐｕｌｓｅｔｒａｎｓｆｅｒｂｅｔｗｅｅｎｔｈｅｃｏｐｌａｎａｒｅｌｌｉｐｓｅｏｒｂｉｔｓ.Ｍｏｙｅｒｖｅｒｉｆｉｅｄｔｈｅｒｅｓｕｌｔｓｏｆｏｐｔｉｍａｌｔｒａｎｓｆｅｒｂｅｔｗｅｅｎｔｈｅｃｏｐｌａｎａｒｃｉｒｃｌｅａｎｄｅｌｌｉｐｓｅｂｙｍｅａｎｓｏｆｔｈｅｍｅｔｈｏｄ[2 ].Ｏｂｔａｉｎｉｎｇｔｈｅａ…     

空间最佳N冲击过渡的伴随系统积分

推出了发动机点火过程中空间最佳N冲击过渡(时间任意)的伴随系统在所选5维相空间中的积分。     

Investigation on the cavitation bubble collapse and the movement characteristics near spherical particles based on Weiss theorem

In this paper, the cavitation bubble dynamics near two spherical particles of the same size are investigated theoretically and experimentally. According to the Weiss theorem, the flow characteristics and the Kelvin impulse are obtained and supported by the sufficient experimental data. In terms of the initial bubble position, the bubble size and the distance between the two particles, the collapse morphology and the movement characteristics of the bubble are revealed in detail. The main findings include: (1) Based on a large number of experimental results, it is found that the Kelvin impulse theoretical model established in this paper can effectively predict the movement characteristics of the cavitation bubble near two particles of the same size. (2) When the initial bubble position is gradually away from the particles along the horizontal symmetry axis near two particles of the same size, the movement distance of the bubble centroid in the first period increases first and then decreases. (3) When the initial position of the bubble centroid is at the asymmetric position near the two particles, the movement direction of the bubble centroid is biased towards the particle closer to the bubble, but not towards the center of this particle.