Nonsimilar boundary layer analysis of double-diffusive convection from a vertical truncated cone in a porous medium with variable viscosity

This work presents a boundary layer analysis about variable viscosity effects on the double-diffusive convection near a vertical truncated cone in a fluid-saturated porous medium with constant wall temperature and concentration. The viscosity of the fluid is assumed to be an inverse linear function of the temperature. A boundary layer analysis is employed to derive the nondimensional nonsimilar governing equations, and the transformed boundary layer governing equations are solved by the cubic spline collocation method to yield computationally efficient numerical solutions. The obtained results are found to be in good agreement with previous papers on special cases of the problem. Results for local Nusselt and Sherwood numbers are presented as functions of viscosity-variation parameter, buoyancy ratio, and Lewis number. For a porous medium saturated with a Newtonian fluid with viscosity proportional to an inverse linear function of temperature, higher value of viscosity-variation parameter leads to the decrease of the viscosity in fluid flow, thus increasing the fluid velocity as well as the local Nusselt number and the local Sherwood number.     

A note on Berge-Fulkerson coloring

The Berge-Fulkerson Conjecture states that every cubic bridgeless graph has six perfect matchings such that every edge of the graph is contained in exactly two of these perfect matchings. In this paper, a useful technical lemma is proved that a cubic graphGadmits a Berge-Fulkerson coloring if and only if the graphGcontains a pair of edge-disjoint matchingsM₁andM₂ such that (i) M₁∪M₂induces a 2-regular subgraph ofG and (ii) the suppressed graph, the graph obtained fromG?M_iby suppressing all degree-2-vertices, is 3-edge-colorable for eachi=1,2. This lemma is further applied in the verification of Berge-Fulkerson Conjecture for some families of non-3-edge-colorable cubic graphs (such as, Goldberg snarks, flower snarks).     

Total Restrained Domination in Cubic Graphs

A set S of vertices in a graph G = (V, E) is a total restrained dominating set (TRDS) of G if every vertex of G is adjacent to a vertex in S and every vertex of V − S is adjacent to a vertex in V − S. The total restrained domination number of G, denoted by γ _tr (G), is the minimum cardinality of a TRDS of G. Let G be a cubic graph of order n. In this paper we establish an upper bound on γ _tr (G). If adding the restriction that G is claw-free, then we show that γ _tr (G) = γ _t (G) where γ _t (G) is the total domination number of G, and thus some results on total domination in claw-free cubic graphs are valid for total restrained domination. Research was partially supported by the NNSF of China (Nos. 60773078, 10832006), the ShuGuang Plan of Shanghai Education Development Foundation (No. 06SG42) and Shanghai Leading Academic Discipline Project (No. S30104).     

On the microstructures of ethyl acetate/monoolein/water

A phase diagram, describing the behavior of the polar lipid monoolein (MO), water, and ethyl acetate (EtAc), is here presented as well as results from small angle X-ray scattering. MO is found to have a solubility of 60 wt.% in EtAc at 20 °C. No macroscopic aggregation of MO can, initially, be detected in the binary MO/EtAc solution even though MO forms solid crystals in concentrated samples when times goes by. In case of the ternary system small amounts of water, mainly bound to the lipid head groups, can be incorporated in the liquid EtAc/MO phase as water has a limited solubility in EtAc. For EtAc/water mass ratios below 2/3 EtAc is present into the reversed bicontinuous cubic and lamellar phases present in the binary MO/water system. To conclude, EtAc is mainly partitioned to the lipid membranes, with minor effects on spontaneous curvature. Hence, simple EtAc-addition has an effect similar to dehydration. For EtAc/water ratios above 2/3 the liquid crystalline phases dissolve. The phase behavior is here discussed in view of related phase behaviors for water-miscible solvent/MO/water systems. For instance, an interpretation of the swelling behavior of the sponge phase (L₃), present in the water-miscible solvent(s)/MO/water systems, shows that solvents partitioned to the polar domains strongly increases the spontaneous curvature of the MO-films. The reason is probably weaker hydrophobic interactions in interfacial regions. As expected, in case of water-miscible solvents, the ternary phase behaviors can be understood by consider water and water-miscible solvent as one “mixed solvent”.     

Improvement of cubic silicon carbide crystals grown from solution

Cubic-silicon carbide crystals have been grown from carbon-rich silicon solutions using the travelling-zone method. To improve the growth process, we investigated the effect of controlling more tightly some of the growth parameters. Using such improved growth conditions, our best sample is a 12 mm diameter and 3 mm long 3C–SiC crystal. It is grown on a (0001) 2 off, 6H–SiC seed and has 111-orientation. The low amount of silicon inclusions results in a reduced internal stress, which is demonstrated by the consideration of μ-Raman spectra collected at room temperature on a large number of samples.     

Simple generalization of Kramers theory to finite barrier height in spatial diffusion regime

Motivated by the escape process at low reduced barrier heights (measured in units of $k_{B}T$) is still a stationary one, the Kramers theoretical method in spatial diffusion regime should be applicable to this process. The Kramers theory is generalized to finite barrier height in a simple manner. The integration constant is redetermined by introducing metastable equilibrium state concept and continuous condition of the probability at the joint point of the potential barrier and potential well. The parabolic barrier with local frequency is replaced by a parabolic barrier with nonlocal frequency. The modified Kramers theory is confirmed by a cubic potential case. The maximal relative error in the spatial diffusion regime is less than 3% for the applied parameters.     

单原子层Pd壳的Pt3Ni纳米立方体的甲酸氧化性能

通过一种结合了CO辅助合成Pt₃Ni纳米立方粒子和单原子层Cu壳欠电位沉积再置换为Pd的方法,成功制备出了具有单原子层Pd壳和Pt₃Ni纳米立方粒子核结构的Pt₃Ni@Pd/C催化剂。电感耦合等离子体元素分析、X射线衍射和透射电子显微镜法被用于研究表征此种Pt₃Ni@Pd/C催化剂,结果显示大部分Pt₃Ni纳米粒子的表面都由{100}族的晶面所构成。而且在这些{100}族的晶面上,单原子层Pd壳通过电沉积的外延生长,也获得了{100}族的晶面。本文进一步对Pt₃Ni@Pd/C作为甲酸氧化电催化剂的性能进行了研究,并与商业Pd/C和原Pt₃Ni/C催化剂进行了比较。结果显示,由于Pt₃Ni@Pd/C的单原子层Pd壳的结构和所暴露出的Pd{100}族的晶面,Pt₃Ni@Pd/C催化剂具有优异的甲酸氧化电催化性能。与原Pt₃Ni/C催化剂相比较,Pt₃Ni@Pd/C催化剂的贵金属质量比活性提高到了7.5倍。此外,与商业Pd/C催化剂相比,Pt₃Ni@Pd/C催化剂的比表面活性和Pd质量比活性也分别提高到了2.5和8.3倍。     

First principles calculations of mechanical properties of cubic 5d transition metal monocarbides

The electronic and elastic properties of cubic 5d transition metal monocarbides in rocksalt, cesium chloride, and zinc blende structures have been studied by first principles calculations. The calculations show that the incompressibility for ReC in cesium chloride structure is even higher than that of diamond under pressure (above 89 GPa). The transformation pressure from zinc blende structure to rocksalt structure takes place at about 47 GPa for PtC. HfC-NaCl, ReC-CsCl, and HfC-ZnS have the smallest metallicity, leading to higher hardness. A valence electron number of 8/cell may be a stable valence shell configuration for 5d transition metal monocarbides in rocksalt and zinc blende structures.     

Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement

A family of quadrature rules for integration over tetrahedral volumes is developed. The underlying structure of the rules is based on the cubic close-packed (CCP) lattice arrangement using 1, 4, 10, 20, 35, and 56 quadrature points. The rules are characterized by rapid convergence, positive weights, and symmetry. Each rule is an optimal approximation in the sense that lower-order terms have zero contribution to the truncation error and the leading-order error term is minimized. Quadrature formulas up to order 9 are presented with relevant numerical examples.     

固体的热膨胀系数

 本文由Grüneisen第二定则出发，采用普适能量函数作为原子间相互作用势能函数，计算立方晶体金属元素和几种NaCl型结构的碱卤晶体的线膨胀系数。计算值与实验值符合得很好。