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本文借助Mawhin重合度理论中的延拓定理和广义常微分方程周期解的存在性,在滞后型脉冲泛函微分方程与广义常微分方程存在等价关系的条件下,建立了滞后型脉冲泛函微分方程周期解的存在性定理. 相似文献
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本文基于粒子图像测速(PIV)技术,在不同的曝气强度下对膜面附近的流体力学特性进行了实验研究,结果表明:在一定范围内增加曝气强度可以使得膜面液相速度增加,并应用Euler多相流模型和多孔介质模型耦合对实验结果进行验证。同时本文将气泡羽流的概念应用于SMBR内复杂气液两相流场的研究,并应用气泡羽流分区研究反应器轴向液相速度的变化趋势:液相速度在羽流形成区呈现出先明显增加,而后在羽流形成后区相对较稳定增加,到达表面流区液相速度有所降低,而且极不稳定.结果表明模拟结果与实验结论具有很好的吻合性。 相似文献
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复杂结构离子的双电子复合速率系数在极紫外光刻光源、核聚变等应用研究的等离子体光谱模拟和诊断中具有重要的应用价值。利用全相对论组态相互作用方法,详细计算了基组态为4p64d9的Re30+离子经双激发态(4p64d9)-1nln'l'(n=4~6,n'=4~23)的双电子复合(DR)过程。研究分析了激发、辐射通道,组态相互作用,级联退激对DR速率系数的影响。其中内壳层4p电子激发的DR速率系数是总DR速率系数的28.2%~44.9%,所以内壳层4p电子激发的贡献不可以忽略。级联退激对DR速率系数的最大贡献为12.9%,也必须要予以考虑。通过对双电子复合、辐射复合、以及三体复合速率系数的比较,辐射复合速率系数的最大值为DR速率系数的22.6%,三体复合速率系数的最大值仅为DR速率系数的0.3%。因此,DR速率系数远远大于辐射复合和三体复合速率系数。该结果表明DR过程对于等离子体离化态分布、能级布居以及光谱模拟都极为重要。为了方便应用,对基态和第一激发态的总DR速率系数进行了参数拟合。该研究结果将为Re激光等离子体的光谱模拟及复杂结构离子DR过程的进一步研究提供参考。Dielectronic recombination (DR) rate coefficients of complex ions are very important in some application research, such as extreme ultraviolet lithography and nuclear fusion. Based on the fully relativistic configuration interaction method, theoretical calculations are carried out to research the DR processes, in which Re30+ ions in the ground state 4p64d9 to (4p64d9)-1nln'l'(n=4~6, n'=4~23). Influence of excitation and radiation channels, configuration interaction, the effect of decays to autoionizing levels possibly followed by radiative cascades (DAC) are analyzed. The contributions through 4p subshell excitations to the total rate coefficient are 28.2%~44.9% in the whole temperature region. Hence the contributions from inner-shell electron excitation are very important. The contributions from the DAC transitions increase smoothly with the increasing temperature and are about 12.9% at 50 000 eV. The contributions of DAC can not be neglected. By means of compared total DR rate coefficients to radiative recombination rate coefficients and three-body recombination rate coefficients, it shows that the maximum value of the radiation recombination rate coefficient is 22.6% of the DR rate coefficient and the maximum value of the three-body recombination rate coefficient is only 0.3% of the DR rate coefficient. The total DR rate coefficient is greater than either the radiative recombination or three-body recombination coefficients in the whole temperature range. The corresponding DR process is very important for plasma ionization distribution, population level and spectrum simulation. In addition to facilitate the application, the total DR rate coefficients for the ground state and the first excited state are fitted to an empirical formula. These results will provide the reference for the further analyses of rhenium laser plasma spectrum simulation and the complex structures ions DR process. 相似文献
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空气隙膜蒸馏系统热容腔内料液的流动状态直接影响到温度和浓度边界层效应,决定系统的膜通量。本文采用三根沿圆周平均分布的入流管,喷管是鸭嘴形,应用PIV系统测试膜面附近流动状态。在5种喷管中心线与热容腔径向夹角β和3种喷管前端和膜面间距离δ下,测试得到膜面附近的速度场数据,并计算得到涡量场信息。结果表明,所研究的膜组件结构参数β和δ对热容腔内料液的流动状态影响很大,适当的热容腔结构参数可以有效地改善温度极化边界层和浓度极化边界层的影响,增大膜通量。研究结果为空气隙膜蒸馏系统热容腔入流装置的优化设计提供了实验数据和研究经验。 相似文献
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