Application of Reynolds stress transport turbulence closure models to flows affected by Lorentz and buoyancy forces

The effect of magnetic field strength and orientation on two types of electromagnetically influenced turbulent flows was studied numerically under the Reynolds averaged Navier–Stokes (RANS) framework. Previous work (Wilson et al., 2014) used an electromagnetically extended linear eddy-viscosity model, whilst the current paper focuses on the performance of a more advanced Reynolds stress transport type model both with and without electromagnetic modifications proposed by Kenjereš et al. (2004). First, a fully-developed 2D channel flow is considered with a magnetic field imposed in either the wall-normal or streamwise direction. Both forms of the RSM gave good agreement with the DNS data for the wall-normal magnetic field across the range of Hartmann numbers with the additional electromagnetic terms providing a small, but noticeable, difference. For the streamwise magnetic field, where electromagnetic influence is only through the turbulence, the electromagnetically extended RSM performed well at moderate Hartmann numbers but returned laminar flow at the highest Hartmann number considered, contrary to the DNS. The RSM results were, however, significantly better than the previous eddy-viscosity model predictions. The second case is that of unsteady 3D Rayleigh–Bénard convection with a magnetic field imposed in either a horizontal or vertical direction. Results revealed that a significant reorganization of the flow structures is predicted to occur. For a vertically oriented magnetic field, the plume structures increase in number and become thinner and elongated along the magnetic field lines, leading to an increase in thermal mixing within the core in agreement with Hanjalić and Kenjereš (2000). With a horizontal magnetic field, the structures become two-dimensional and a striking realignment of the roll cells’ axes with the magnetic field lines occurs. The results demonstrate the capability of the Reynolds stress transport approach in modelling MHD flows that are relevant to industry and offer potential for those wishing to control levels of turbulence, heat transfer or concentration without recourse to mechanical means.     

微波瑞利散射法测定空气电火花激波等离子体射流的时变电子密度

大气压空气电火花激波等离子体射流的电子密度在亚微秒时间尺度上瞬变,其电子密度的测定很难.基于微波瑞利散射原理,本文测量了空气电火花冲击波流注放电等离子体射流的时变电子密度.实验结果表明:测量系统的标定参数A为1.04 × 105 V·Ω·m–2;空气流注放电等离子体射流的电子密度与等离子体射流的半径和长度有关,结合高速放电影像展示的等离子体射流的等效半径和等效长度,测定的电子密度在1020 m–3的量级,且随时间先快速增长至峰值再成指数衰减.此外,本文还探讨了等离子体射流的不同等效尺度对测定结果的影响;分析结果表明,采用时变等效半径和时变等效长度的计算结果最有效,且第1个快速波峰是由光电离的电离波导致的.     

共振瑞利散射法对普萘洛尔特效适配体系的手性分析

本文提出了对于手性药物普萘洛尔手性识别和手性分析的新方法。 该方法引用基于氧化石墨烯的指数富集配体系统进化筛选技术(GO-SELEX),经过10轮优化筛选出对心血管药物普萘洛尔有高度亲和力的特效适配体。 然后通过共振瑞利散射光谱法(RRS)对反应体系进行特效性检测,实验表明S-普萘洛尔和R-普萘洛尔有迥然不同的光谱差异,S-普萘洛尔与特效适配体结合后的RRS显著增强,而R-普萘洛尔与适配体结合后的RRS几乎没有变化。 据此可以对心血管药物手性普萘洛尔进行有效的手性识别。 在考察反应体系和实验条件的基础上,可对S-普萘洛尔进行实验检测,同时对外消旋体中的R-普萘洛尔进行计算分析。 实验对S-普萘洛尔的线性范围为5~275 nmol/L,检测限为0.5 nmol/L。 方法应用于外消旋药片的分析检测,结果令人满意。 实验表明,RRS检测特效适配体结合的手性靶标体系会彰显不同的光谱差异,从而可对手性对映体进行手性识别,尤其是可利用其光谱差异实现同时测定的手性分析,方法可在特殊情形下不经分离而同时测定手性对映体,具有推广应用价值。     

Dispersion and localisation in structured Rayleigh beams

This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations appear to be similar, and hence mathematical models have a lot in common. In the present work, our main focus is on the analysis of dispersive waves, band-gaps and localised waveforms in structured Rayleigh beams. The Rayleigh beam theory includes the effects of rotational inertia which are neglected in the Euler–Bernoulli beam theory. This makes the approach applicable to higher frequency regimes. Special attention is given to waves in pre-stressed Rayleigh beams on elastic foundations.     

Multiple re-configurable intelligent surfaces based physical layer eavesdropper detection for V2I communications

Inspired by the promising potential of re-configurable intelligent surface (RIS)-aided transmission in achieving the vision of 6th Generation (6G) network, we analyze the security model for a vehicular-to-infrastructure (V2I) network by considering multiple RISs (M-RIS) on buildings to act as passive relays at fixed distances from a source. In addition, multiple eavesdroppers are presented in the vicinity of the intended destination. Our aim is to enhance the secrecy capacity (SC) and to minimize secrecy outage probability (SOP) in presence of multiple eavesdroppers with the help of M-RIS in V2I communications. We propose a key-less physical layer security using beam-forming by exploiting M-RIS. The proposed approach assumes the concept of detecting eavesdroppers before the information can be transmitted via beam-forming by utilizing M-RIS. The results reveal that with consideration of M-RIS and beam-forming, the achievable SC and SOP performance is significantly improved while imposing minimum power consumption and fewer RIS reflectors.     

瑞利光散射技术快速测定萝卜红色素中痕量Pb(Ⅱ)

建立了快速测定Pb(Ⅱ)的瑞利散射(RLS)新方法。在Tris-HCl缓冲介质中,溴化十六烷基三甲基铵(CTMAB)增敏溴甲酚绿(BCG),使瑞利散射显著增强,最大瑞利散射峰位于345nm,CTMAB-BCG进一步与Pb(Ⅱ)结合后生成的三元复合物的瑞利散射增强程度(|ΔIRLS|)与0.006~0.41mg/L范围Pb(Ⅱ)的质量浓度呈线性关系,定量限为0.053mg/kg。方法用于萝卜红色素中Pb(Ⅱ)的测定,回收率为98.5%~102%,相对标准偏差为1.8%~2.5%。     

藏红T共振瑞利散射光谱法测定保健食品中的透明质酸钠

建立藏红T共振瑞利散射光谱法测定保健食品中透明质酸钠的含量。在p H 5.00的Britton–Robinson缓冲介质中,藏红T与透明质酸钠反应形成化合物,使溶液共振瑞利散射急剧增强并产生相应的散射光谱,其最大散射峰位于335 nm,5.0×10~(–4) mol/L藏红T溶液用量为0.70 m L,反应时间为15 min。透明质酸钠的质量浓度在0.06~3.0mg/L范围内与共振瑞利散射增强程度成良好的线性关系,线性相关系数为0.999 2。方法检出限为19.8μg/L,测定结果的相对标准偏差为3.36%~4.52%(n=6),加标回收率为92.4%~103.0%。该方法灵敏度高、选择性好、操作简便,适用于保健食品中透明质酸钠的测定。     

On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential

We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy-subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time. We address the questions of the existence and the orbital stability of the set of standing waves. Given the mathematical features of the equation (external potential and inhomogeneous nonlinearity), the set of parameters for which standing waves exist in unclear. In the two-dimensional case, we adapt the method of fundamental frequency solutions, introduced by the second author in the higher-dimensional case without potential. This makes it possible to describe accurately the set of fundamental frequency standing waves and ground states, and to prove its orbital stability.     

横观各向同性液体饱和多孔介质中平面波的传播

基于孔隙介质的Ｂｉｏｔ理论１，研究了横观各向同性液体饱和多孔介质中平面波的传播特性。首先导出了波传播的特征方程并给出了其解析解，结果显示：有４种不同波速的平面体波传播；第一准纵波，第二准纵波，准横波和反平面横波。文中给出了波速和衰减的解析表达式，数值计算了频散曲线和衰减曲线，并讨论了各类准体波位移之间的耦合关系。