Discontinuous solid solutions of anthracene–phenanthrene: Thermodynamics and crystallization kinetics

We explored such issues as the formation mechanism, structure and propriety of the solid solutions of anthracene (ANT)–phenanthrene (PHE). Solution crystallization and solid-state grinding were employed to prepare solid solutions under different conditions. The thermal behavior and PXRD scanning results revealed the formation of discontinuous solid solutions, whose melting points and crystal lattices varied linearly with mixed ratio. Combing with Materials Studio, the formation possibility of solid solutions were investigated by evaluating the change of the energy. The crystal morphology of the solid solutions have a positive correlation with the change of the major part. Finally, the solution crystallization process of solid solution were studied using the population balance model.     

Theoretical investigation on submicron particle penetration through circular tubes inside a porous medium

The analytical infinite series solution of submicron particle transport in a circular tube bounded by a porous wall, such as a pinhole, is determined under the slip velocity boundary condition, and the solution is verified by using the experimental data in the previous studies for the specific cases. The results show that particle penetration rate increases with the increase of the porous parameter, the axial pressure drop, and the pinhole radius, whereas it decreases with increasing the pinhole length. The penetration rate of nano-particles are more sensitive to the variation of these parameters. However, the differences between the penetrations of particles ranging from 0.3 μm to 1 μm are not evident because the diffusion becomes weak gradually in this size range. In addition, a further comparison is performed between the analytical solution and the existing studies, and approximate expressions are presented for accurate calculation of particle penetration rate through pinholes appearing in porous materials including filter devices and masks.     

模拟海市蜃楼实验的配液新方案

分析了配制传统模拟海市蜃楼溶液的方法的不足,提出了新的配制溶液的方案,推导出了所配制的溶液浓度梯度随高度的分布公式,从而使实验过程中配液的时间大大缩短,实验现象更加明显,提高了实验的成功率.     

带电细圆环与导体球壳系统的场分布

先依电象法,推导均匀带电圆环在金属导体球壳内的"象电荷";再在球坐标系下,根据电场强度的计算公式与Tay-lor展开式,计算出均匀带电细圆环在全空间的电场分布的级数形式解;进而结合唯一性定理和电场的叠加原理,获得带电细圆环与导体球壳系统的空间场分布.     

沿直线分布电荷体系电场线的解析解

通过求解电场线所满足的微分方程,得到了沿直线分布电荷体系电场线的严格解析解,根据所得电场线簇方程,讨论了各种沿直线分布电荷体系的电场线特点,并在计算机上利用Mathematica软件绘出了相应的电场线分布图.     

非线性椭圆方程自由边值问题球对称解的存在性

给出了如下的非线性椭圆方程自由边值问题-Δu=λu+(1+ε)u+p,x∈B Rn,u|Ω=μ,∫Ωnu=-M(1)在C[0,1]中的球对称解的存在性.并得到比上述问题更一般的非线性椭圆方程自由边值问题-Δu=h(u),x∈B Rn,u|Ω=μ,∫Ωun=-M,在C[0,1]中的球对称解的存在性,其中B为Rn中的单位球,p>1,λ>0,μ<0,M>0,ε>0;λ,μ,M,ε均为常数,n为正整数.     

矩阵方程AXAT+BYBT=C的亚半正定解

讨论了矩阵方程AXAT+BYBT=C关于亚半正定矩阵X,Y有解的充要条件,并在有解时给出了解的通式.     

六阶对流Cahn-Hilliard方程解的整体适定性

In this paper,we consider the global well-posedness of smooth solutions for the Cauchy problem of a sixth order convective Cahn-Hilliard equation with small initial data.We first construct a local smooth solution,then by combining some a priori estimates,continuity argument,the local smooth solution is extended step by step to all t>0 provided that the L1 norm of initial data is suitably small and the smooth nonlinear functions f(u)and g(u)satisfy certain local growth conditions at some fixed point■.     

固相微萃取-气相色谱联用技术分析混合气体中微量氢

制备钯-5A分子筛萃取头,使用固相微萃取-气相色谱联用技术,建立了对混合气体中微量氢气的分析方法.实验结果表明,含氢浓度在0.0011~0.1250 mL/L范围内,具有良好线性关系,检出限为9×10-4mL/L.此方法和气相色谱法比较,有更高的灵敏度和更少的干扰,2种方法的标准偏差为8.7%.     

折光率法确定R141b的两组分溶液组成

应用阿贝折射仪测量液体的折光率以确定其组成是化工生产与科研中常用的一种手段.在5～30 ℃范围测定了R141b与THF、乙醇及甲醇构成的两组分溶液的折光率,结果表明组成与折光率之间呈线性关系,其相关系数均在0.995以上,标准偏差均在0.0015以下,且实验值与文献值相符.该方法完全适合用于R141b相关溶液常温下组成的测定.