Lattice-BGK approach to simulating granular flows

Many continuum theories for granular flow produce an equation of motion for the fluctuating kinetic energy density (granular temperature) that accounts for the energy lost in inelastic collisions. Apart from the presence of an extra dissipative term, this equation is very similar in form to the usual temperature equation in hydrodynamics. It is shown how a lattice-kinetic model based on the Bhatnagar-Gross-Krook (BGK) equation that was previously derived for a miscible two-component fluid may be modified to model the continuum equations for granular flow. This is done by noting that the variable corresponding to the concentration of one species follows an equation that is essentially analogous to the granular temperature equation. A simulation of an unforced granular fluid using the modified model reproduces the phenomenon of clustering instability, namely the spontaneous agglomeration of particles into dense clusters, which occurs generically in all granular flows. The success of the continuum theory in capturing the gross features of this basic phenomenon is discussed. Some shear flow simulations are also presented.     

气体放电等离子体特性测量I-V曲线不对称性的研究

利用气体放电双探针法研究了等离子体的I-V曲线中的电流I相对于电压V轴交点的不对称性,并提出2种可能的解释:一认为是由于两探针表面积不同引起的;二认为是由于探针所在处等离子体电位不等引起的.本文利用仪器的工艺误差和调换放电管电压的方法,对提出的2种可能原因分别进行验证,并指出第二种解释的合理性,并对其进行了理论分析.     

Around Multicolour Disordered Lattice Gas

We consider a system of multicolour disordered lattice gas, following closely the (monocolour) introduced by Faggionato and Martinelli^(3,4). We study the projection on the monocolour system and we derive an estimate of the closeness between grand canonical and canonical Gibbs measures. AMS Classification: Primary: 60K35, 82C20, 82C22     

Recent study of nanomaterials prepared by inert gas condensation using ultra high vacuum chamber

The ultra high vacuum chamber was developed in the Department of Nuclear Physics, University of Madras with the funding from DST, India. This UHV chamber is used to prepare nanocrystalline materials by inert gas condensation technique (IGCT). Nanocrystalline materials such as PbF₂, Mn²⁺-doped PbF₂, Sn-doped In₂O₃ (ITO), ZnO, Al₂O₃, Ag₂O, CdO, CuO, ZnSe:ZnO etc., were prepared by this technique and characterized. Results of some of these materials will be presented in this paper. In solid-state²⁰⁷Pb NMR on PbF₂ a separate signal due to the presence of grain boundary has been observed. The structural phase transition pressure during the phase transformation from the cubic phase to orthorhombic phase under high pressure shows an increase with the decrease in grain size. Presence of electronic centres in nanocrystalline PbF₂ is observed from Raman studies and the same has been confirmed by photoluminescence studies. Al₂O₃ was prepared and⁵⁶Fe ions were implanted. After implantation segregation of⁵⁶Fe ions was examined by SEM. The oxidation properties of ITO were studied by HRTEM. As against the expectation of oxide coating on individual nanograins of In-Sn alloy, ITO nanograins grew into faceted nanograins on heat treatment in air and O₂ atmosphere. The growth of ITO under O₂ atmosphere showed pentagon symmetry. The PMN was initially prepared by solid-state reaction. Further, this PMN relaxor material will be used to convert into nanocrystalline PMN by IGCT with sputtering and will be studied     

水平管段塞流持液率波动规律研究

以空气和水为工质,采用双平行电导探针,在水平多相流环道(d=50.00mm)中研究了段塞流持液率与压力波动的关系以及折算气速、折算液速变化对持液率的影响,并将持液率的试验值与预测模型进行了比较.结果表明:持液率波动能更真实地反映段塞流动特性,可以用来确定液塞频率;增加折算气速时,液塞持液率减小;增加折算液速时,持液率增大.     

Hartree-Fock variational bounds for ground state energy of chargeless fermions with finite magnetic moment in the presence of a hard core potential: A stable ferromagnetic state

We use different determinantal Hartree-Fock (HF) wave functions to calculate true variational upper bounds for the ground state energy of N spin-half fermions in volume V ₀, with mass m, electric charge zero, and magnetic moment μ, interacting through magnetic dipole-dipole interaction. We find that at high densities when the average interparticle distance r ₀ becomes small compared to the magnetic length r _m ≡ 2mμ²/ħ², a ferromagnetic state with spheroidal occupation function n _↑(), involving quadrupolar deformation, gives a lower upper bound compared to the variational energy for the uniform paramagnetic state or for the state with dipolar deformation. This system is unstable towards infinite density collapse, but we show explicitly that a suitable short-range repulsive (hard core) interaction of strength U ₀ and range a can stop this collapse. The existence of a stable equilibrium high density ferromagnetic state with spheroidal occupation function is possible as long as the ratio of coupling constants Γ_cm ≡ (U ₀ a ³/μ²) is not very small compared to 1.      

全球变暖背景下温室效应的光谱能量分布分析

利用一维辐射传递方程及LBLRTM逐线积分模式建立计算模型,对工业革命前与目前大气构成情况下温室效应的能量分布及其光谱吸收机理进行分析,在保持温室气体浓度为当前水平的基础上,研究温室效应能量分布与地表温度之间的相互耦合机理.结果表明:工业革命前地球的温暖环境主要来自于大气温室气体的(100~370)cm^-1、(640~710)cm^-1以及(1370~2000)cm^-1三个强吸收带对于地球长波辐射的吸收,而地球当前的变暖则源自于大气的(370~640)cm^-1和(710~1370)cm^-1两个弱吸收带的作用,其对工业革命以来所额外增加的温室效应贡献分别达到了25%和55%;地表温度升高,温室效应在全波段范围内也会随之增强,但不同谱带处的温室效应贡献以地球平均温度所对应的辐射峰值波数为界线,峰值波数右侧的温室效应贡献将会增加,在其左侧的贡献比例则会减小.     

气相色谱法监测氧化钙催化制备生物柴油的反应进度

建立了一种通过检测氧化钙催化制备生物柴油过程中产生的甘油来监测反应进度的方法. 在反应样品中加入草酸、硫酸溶液, 除掉由催化剂引入的钙离子, 释放与氧化钙结合的甘油, 利用气相色谱方法检测甘油的含量. 讨论了实验中加入草酸、硫酸的目的及对结果的影响. 实验结果表明, 此法可用于氧化钙催化制备生物柴油过程中反应进度监测的研究.     

皮秒脉冲功率技术理论模型及其优化设计

为了产生100~500 ps,200~500 kV,1~10 kA数量级的皮秒放电脉冲,建立了一个皮秒脉冲发生器理论模型,并提出利用增益系数极值法,确定其最大兼容工作点,相对于纳秒脉冲成形线,皮秒脉冲成形线实现了90%,70%,85%的归一化电压增益、能量增益和放电功率增益。为了最大限度地降低皮秒脉冲成形线的载压时间,提高系统的绝缘安全因子,利用华罗庚0.618优算法,设计了电压传输系数。在纳秒脉冲成形线与皮秒脉冲成形线阻抗比值等于1.63条件下,在4倍和6倍皮秒脉冲成形线时间之内,归一化电压增益、能量增益和放电功率增益就可以分别达到94%,72%,89%与99%,53%,97%。