Evolution of vortices in the wake of an ARJ21 airplane: Application of the lift-drag model

Wake separation is crucial to aircraft landing safety and is an important factor in airport operational efficiency. The near-ground evolution characteristics of wake vortices form the foundation of the wake separation system design. In this study, we analysed the near-ground evolution of vortices in the wake of a domestic aircraft ARJ21 initialised by the lift-drag model using large eddy simulations based on an adaptive mesh. Evolution of wake vortices formed by the main wing, flap and horizontal tail was discussed in detail. The horizontal tail vortices are the weakest and dissipate rapidly, whereas the flap vortices are the strongest and induce the tip vortex to merge with them. The horizontal tail and flap of an ARJ21 do not significantly influence the circulation evolution, height change and movement trajectory of the wake vortices. The far-field evolution of wake vortices can therefore be analysed using the conventional wake vortex model.     

Self-similar vortex reconnection

As shown by Crow in 1970, the evolution of two almost parallel vortex filaments with opposite circulation exhibits a long-wave instability. Ultimately, the symmetric mode increases its amplitude reconnecting both filaments and ending into the formation of an almost periodic structure of vortex rings. This is a universal process, which appears in a wide range of scales: from the vortex trails behind an airplane to a microscopic scale of superfluids and Bose–Einstein condensates. In this paper, I will focus on the vortex reconnection for the latter case by employing Gross–Pitaevskii theory. Essentially, I focus on the well-known laws of interaction and motion of vortex filaments. By means of numerical simulations, as well as theoretically, I show that a self-similar finite-time dynamics manifests near the reconnection time. A self-similar profile is selected showing excellent agreement with numerical simulations.     

Surface properties and doxorubicin delivery in mixed systems comprising a natural rosin-based ester tertiary amine and an anionic surfactant

A rosin-based ester tertiary amine salt (RETAS) cationic surfactant was obtained using natural rosin as raw material. GC-MS of RETAS was detailed analyzed. The pH-responsive mechanism of rosin-based ester tertiary amine (RETA) and RETAS was confirmed by applying theoretical calculations about electrostatic potential maps of RETA and RETAS cation using Gaussian software. Mixed system surfactants were obtained by blending RETAS cationic surfactant with sodium dodecyl benzene sulfonate (SDBS) anionic surfactant. The binary mixed surfactant systems of RETAS and SDBS had obvious synergistic effect. The γ_cmc and CMC were 39.40?mN/m and 0.56?mmol/L at the optimum molar fraction of RETAS (α)?=?0.6, respectively. The stability time of emulsion with the optimum mixed system as emulsifier increased to 309?s at α?=?0.6. The emulsifying capacity of RETAS was much better than that of RETA. RETAS had pH-responsive targeted release and the optimum mixed system showed a relatively sustained drug release by using doxorubicin (DOX) as a model drug. These results indicate that RETAS surfactant and mixed system surfactant are both promising for applications in drug delivery and emulsification.     

动水环境中射流喷角对射流特性影响数值模拟

在应力代数模型基础上引入密度状态方程建立了变密度的各向异性湍浮力射流模型,并给出了浮力系数的简单计算式.对存在密度差的射流进行了数值计算,所得轨迹线与实验结果吻合良好.应用有限体积法对流动环境中不同喷角二维立面射流流场特性进行了数值分析,对涡心及分离点位置与喷角关系的结果分析表明喷角为90°时回流区域最大.提出了面积湍动能kA概念,以此分析了流体间的掺混强度与喷角间的关系,结果表明喷角为90°时最有利于射流水体与环境水体间的掺混.     

轴向磁场作用下平均Taylor涡对湍流脉动的影响

采用基于高精度电流守恒格式的直接数值模拟方法,对轴向磁场作用下导电流体的湍流Taylor-Couette流动进行计算.在等电势边界条件的同心圆筒中,磁场与感生电流引起的反向周向速度分布、以及其对平均流动的影响被揭示出来.采用两种不同的湍流流场平均方法,将湍流中的全部脉动划分为平均流动(Taylor涡)的贡献和湍流的贡献.通过计算不同磁场强度下的湍动能的分布,对比分析轴向磁场对平均Taylor涡流和湍流两种贡献方式的影响.     

Generation and Propagation of Optical Superoscillatory Vortex Arrays

Superoscillation is an intriguing wave phenomenon which enables subwavelength features propagating into far field and hence has potential applications in super‐resolution microscopy as well as particle trapping and manipulation. While previous demonstrations mostly concentrate on designing complicated nanostructures for generating uncontrollable superoscillatory functions, here a new technique which allows for creating polynomially shaped superoscillatory functions that contain phase singularity arrays is demonstrated both theoretically and experimentally. Such a technique is implemented in optical experiments for the first time and controllable superoscillatory lobes with feature much below the diffraction limit is achieved. More importantly, a general theoretical framework, which, to our knowledge, has not been reported before, is developed to show how the created superoscillations propagate to a distance of many Rayleigh ranges and eventually disappear when the distance is sufficiently larger. The validity of the model is confirmed by the experiments. The results may trigger further studies in light field shaping and manipulations in subwavelength scale.     

Fused N-Heterocycles with Contiguous Stereogenic Centers Accessed by an Asymmetric Catalytic Cascade Reaction of Tertiary Enamides

We report in this article a cascade reaction strategy for the synthesis of complex N-heterocyclic compounds with contiguous and tetrasubstituted stereogenic carbons. Under the sequential catalysis of a chiral binol–Ti complex and BF₃, cyclopentanone-derived tertiary enamides undergo an enantioselective enamine addition to ketone carbonyls followed by diastereoselective trapping of the resulting acyliminiums by electron-rich aryl moieties to furnish four- and five-membered ring-fused N-heterocyclic products as the sole diastereomers in high yields with up to 99 % ee.     

海黍子(Sargassum muticum)不同分枝的形态观察与离体培养

【目的】观察海黍子不同分枝的形态特征,并研究离体培养条件下三生分枝的生长和生殖托数量的变化情况。【方法】采用形态观察法和离体培养技术,分别研究三生分枝在次生分枝上的分布、其数量与次生分枝长度的关系、其长度与生殖托数量的关系,并对离体培养前后三生分枝特定生长率及生殖托数量变化情况进行研究。【结果】三生分枝数量与次生分枝长度呈正相关;生殖托数量同三生分枝的长度呈正相关。离体培养实验期内,生殖托数量增长一般不超过2个;三生分枝均有不同程度的增长,特定生长率多数集中在0%~2%。【结论】海黍子不同分枝尤其是三生分枝的生长和发育有助于海黍子有性繁殖过程,可以保障海黍子群体的不断繁衍。     

RANS and LES computations of the tip-leakage vortex for different gap widths

In hydraulic turbines, the tip-leakage vortex is responsible for flow instabilities and for promoting erosion due to cavitation. To better understand the tip vortex flow, Reynolds-averaged Navier–Stokes (RANS) and large eddy simulation (LES) computations are carried out to simulate the flow around a NACA0009 blade including the gap between the tip and the wall. The main focus of the study is to understand the influence of the gap width on the development of the tip vortex, as for instance its trajectory. The RANS computations are performed using the open source solver OpenFOAM 2.1.0, two incidences and five gaps are considered. The LESs are achieved using the YALES2 solver for one incidence and two gaps.

The validation of the results is performed by comparisons with experimental data available downstream the trailing edge. The position of the vortex core, the mean velocity and the mean axial vorticity fields are compared at three different downstream locations. The results show that the mean behaviour of the tip vortex is well captured by the RANS and LES computations compared to the experiment. The LES results are also analysed to bring out the influence of the gap width on the development of the tip-leakage vortex. Finally, a law that matches the vortex trajectory from the leading edge to the mid-chord is proposed. Such a law can be helpful to determine, in case of cavitation, if the tip vortex will interact with the walls and cause erosion.     

衍射效应诱导涡旋光束的偏振度变化

基于惠更斯-菲涅耳衍射原理以及部分相干光的相干与偏振的统一理论,研究了衍射效应诱导部分相干涡旋光束的偏振度变化.通过理论分析与数值计算表明,部分相干涡旋光束经圆孔衍射后偏振度将发生变化,在衍射场中光束的偏振度分布情况与入射光束的相干度、入射光束的拓扑电荷数、衍射孔径的大小等因素有关.