Calculation of second virial coefficients and gaseous viscosities of the refrigerants HFC-32 (CH2 F2), HFC-23 (CHF3), and HCFC-22 (CHC1F2)

The second virial coefficients of refrigerants HFC-32 (CH₂F₂), HFC-23 (CHF₃), and HCFC-22 (CHC1F₂) have been correlated on the bisis of site site model potential and have been compared with experimental results. The molecular interactions consisted of repulsion dispersion and electrostatic parts. From the site site potentials adjusted to the experimental second virial coefficients, spherically averaged potentials have been determined and a subsequent calculation of gaseous viscosity has been carried out. Agreement between measured and calculated values of second virial coellicients and gaseous viscosity is satisfactory. Calculated values of second virial coefficients and gaseous viscosity beyond available experimental data, therefore. can be assumed as a reliable extrapolation to lower and higher temperatures.     

Reactive path integral quantum simulations of molecules solvated in superfluid helium

A hybrid ab initio   path integral molecular dynamics/bosonic path integral Monte Carlo simulation method has been developed, implemented and tested, which allows for the reactive simulations of molecules, clusters or complexes solvated by superfluid ⁴${}^4$He. The simulation takes into account “on-the-fly” the electronic structure and thus the chemical reactivity of the solutes, in conjunction with the Bose–Einstein statistics, and thus the superfluid character of this peculiar solvent. This enables investigations into cryochemical reactions taking place in helium nanodroplets, such as those used in helium nanodroplet isolation (HENDI) spectroscopy.     

关于广义椭圆积分的几个性质

揭示了由广义椭圆积分定义的一些函数的单调性,从而获得若干不等式。这些结果有助于对广义Grtzsch环函数和Ramanujan模方程及其解φak(r)、φk(r)的研究,这些函数在拟共形理论、数论、几何学等领域中具有非常广泛的应用;同时,从这些结果中可以得到关于完全椭圆积分的一些新的性质。     

弹性力学问题中拟奇异积分的变换法

剖析了弹性力学问题中拟奇异积分产生的原因,提出了处理拟奇异积分的一种有效的变换法,成功地消除了拟奇异积分的拟奇异性,在不增加计算量的情况下大大改进了拟奇异积分的计算精度。     

磁弹性理论中的守恒定律和路径无关积分

守恒定律与路径无关积分是传统力学中的重要工具,在位错、断裂力学和其他缺陷理论中具有重要的应用价值。由于力场和磁场的共同作用,以及磁弹性材料本身的耦合性质,所以磁弹性体具有更为广泛的守恒定律和路径无关积分。文中通过定义4种不同的热力学函数,应用电磁场理论中的能量矩概念,建立了磁弹性理论中对偶形式的守恒定律,并由这些对偶形式的守恒定律得到了相应的路径无关积分。文中建立的守恒定律和路径无关积分,对研究磁弹性体中的缺陷理论将起到十分重要的作用。     

编译原理教学中创造性思维能力的培养

阐述了在编译原理教学中,从调动内驱力、提倡发散思维、提倡探究学习、培养抽象思维四个方面入手,加强学生创造性思维能力的培养,给出了教学实施的具体步骤和方法。多年的教学实践证明,达到了预期的目的。     

流道缩扩比对半波纹微通道流动和传热特性的影响

为探究流道缩扩比对半波纹微通道流动和传热特性的影响,设计了5种不同缩扩比的半波纹微通道模型,并对各通道内的层流流动(200＜Re＜1000,Re为雷诺数)和传热进行了数值模拟研究。结果表明,半波纹微通道的压降和努塞尔数随着流道缩扩比的减小而增大;与光滑微通道相比,半波纹微通道具有更优的传热性能但压降损失也更高;引入η作为综合性能指标,发现减小流道缩扩比是提高半波纹微通道综合换热能力的有效方式,且当Re＞490时,其综合换热能力均优于光滑微通道。     

从工程应用型人才培养看计算机组成原理课程设计

针对计算机专业本科生存在的应用能力弱、工程研发能力不足、科研创新意识匮乏、重视软件而轻视硬件的状况,在分析学生现状及国内外相关教改成果的基础上,结合计算机组成原理课程设计实践,阐述了以工程研发为背景的应用型本科人才培养的观点。     

Computing integrals over polynomially defined regions and their boundaries in 2 and 3 dimensions

We use the cylindrical algebraic decomposition algorithms implemented in Mathematica to produce procedures to analytically compute integrals over polynomially defined regions and their boundaries in two and three dimensions. Using these results, we can implement the divergence theorem in three dimensions or the Green's theorems in two dimensions. These theorems are of central importance in the applications of multidimensional integration. They also provide a strong correctness test for the implementation of our results in a computer algebra system. The resulting software can solve many of the two and some of the three dimensional integration problems in vector calculus textbooks. The three dimensional results are being extended. The results in this paper are being included in an automated student assistant for vector calculus.     

Fuzzy posterior-probabilistic fusion

The paradigm of the permanence of updating ratios, which is a well-proven concept in experimental engineering approximation, has recently been utilized to construct a probabilistic fusion approach for combining knowledge from multiple sources. This ratio-based probabilistic fusion, however, assumes the equal contribution of attributes of diverse evidences. This paper introduces a new framework of a fuzzy probabilistic data fusion using the principles of the permanence of ratios paradigm, and the theories of fuzzy measures and fuzzy integrals. The fuzzy sub-fusion of the proposed approach allows an effective model for incorporating evidence importance and interaction.