(火积)的宏观物理意义及其应用

提高传热过程的性能是解决能源问题的重要途径之一. 本文通过与力学中相关概念进行对比,分析了传热过程性能优化的新物理量——(火积)的宏观物理意义. 通过(火积)与物体对外传热能力、(火积)定义的传热过程效率以及(火积)与热量传递驱动力的关系三方面分析,发现(火积)具有的宏观物理意义是物体包含的热量在温度场中所具有的势能. 并且,通过对流换热的(火积)理论优化介绍了(火积)理论在工程实际中的应用. 关键词： (火积) 宏观物理意义 势能 对流换热     

Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations

The paper deals with error estimates and lower bound approximations of the Steklov eigenvalue problems on convex or concave domains by nonconforming finite element methods. We consider four types of nonconforming finite elements: Crouzeix-Raviart, Q ₁ ^rot , EQ ₁ ^rot and enriched Crouzeix-Raviart. We first derive error estimates for the nonconforming finite element approximations of the Steklov eigenvalue problem and then give the analysis of lower bound approximations. Some numerical results are presented to validate our theoretical results.     

微积分看作0.9

由一张示意图入手,把山坡分割为"微分三角形",后者的高简称微分,图中还有小缝.于是,山坡全高=微分的和+小缝的和,或变为:微分的和=全高一小缝的和.当山坡为多项式曲线,小缝的和可以精确计算,特别,可以相继取为小数,0.1,0.01,0.001,….若令全高=1,那么:微分的和=0.9,求出了!如果承认0.9=1,又有:微分的和=全高,此即微积分基本公式.谁想的到这个公式即1=0.9?     

Differentiating intrinsic SERS spectra from a mixture by sampling induced composition gradient and independent component analysis

By generating a composition gradient on a highly uniform SERS substrate and applying independent component analysis, we demonstrate that one can extract the intrinsic SERS spectrum of individual components from SERS spectra obtained from a two-component mixture.     

对一个非线性分数阶微分方程组爆破解的研究

The paper focuses on the blow-up solution of system of time-fractional differential equations
where ^cD₀₊^α, ^cD₀₊^β are Caputo fractional derivatives, n-1 < α < n, n-1 < β < n,A(t),B(t) are continuous functions. We obtain a system of the integral equations which is equivalent to the system of nonlinear partial differential equations with time-fractional derivative via the approach of Laplace transformation, and prove the local existence of solutions to the system of the integral equations. Secondly, this paper investigates the blow-up solutions to the a nonlinear system of fractional differential equations by making use of Hölder’s inequality and obtains a solution of system to blow up in a finite time, and gives an upper bound on the blow-up time.     

野菊花不同提取物的红外光谱分析

利用红外光谱的宏观指纹特性,对野菊花不同溶剂提取物的红外光谱图和二阶导数红外光谱图进行了整体分析。可知,野菊花石油醚提取物主含长链脂肪酸(酯)、不饱和酮以及小分子萜类等低极性化合物,乙酸乙酯提取物主含萜类和黄酮类化合物,无水乙醇提取物主含黄酮及黄酮苷类化合物,95%乙醇提取物主含黄酮苷类化合物,去离子水提取物主含多糖及鞣质类等大极性成分。此外,与野菊花指标成分蒙花苷的红外光谱分析比较,可知野菊花无水乙醇提取物中所含有的黄酮量是最多的。因此,利用红外光谱法对中药提取物直接进行分析,可初步识别其主体成分,为下一步制定药效成分的提取方案和检测方法提供方向性参考。     

Optical microresonator based on hollow sphere with porous wall for chemical sensing

A porous-wall hollow glass microsphere (PW-HGM) was investigated as an optical resonator for chemical vapor sensing. A single mode optical fiber taper was used to interrogate the microresonator. Adsorption of chemical molecules into the nanosized pores induced a refractive index change of the thin wall and thus a shift in its resonance spectrum. The PW-HGM resonator had shown higher vapor detection sensitivity in comparison with a solid microsphere under similar test conditions.     

White light generation of glass ceramics containing Ba_2LaF_7：Eu~（2＋）,Tb~（3＋） and Sm~（3＋） nanocrystals

The Eu 2＋ /Tb 3＋ /Sm 3＋ co-doped oxyfluoride glass ceramics containing Ba2LaF7 nanocrystals are prepared in the reducing atmosphere.The X-ray difiraction results show that Eu 2＋ ,Tb 3＋ and Sm 3＋ ions are enriched into the precipitated Ba2LaF7 nanophase after the annealing process.It deduces efficient energy transfers from Eu 2＋ to Tb 3＋ and Sm 3＋ and intenses warm white luminescence of the glass ceramics. Comparing with the glass,the luminescence quantum yield of the glass ceramics is also enlarged by about 3 times.This demonstrates the potential white light-emitting diode application of the glass ceramics produced in this letter.