煤油燃料宽域冲压旋转爆震燃烧特性

通过三维数值仿真的方法, 研究了Ma＝3~7飞行工况下, 煤油燃料冲压旋转爆震燃烧特性。在Ma＝3飞行工况下, 由于燃料雾化蒸发效果较差, 无法实现煤油燃料的爆震燃烧。Ma＝4, 5, 6的飞行工况下, 随着飞行Mach数的增大, 波头数目整体上逐渐增多, 分别为单波、三波、五波模态; 但传播速度逐渐减小; 冲压模态下, 液态燃料雾化蒸发效果较好, 但流场内均不同程度地残存有煤油蒸气, 其未参加反应便排出燃烧室。Ma＝7的飞行工况下, 由于来流接近CJ速度, 流场将以驻定爆震模态组织燃烧。

     

论M积分和Bueckner功共轭积分之间的关系

对均质各向同性材料、各向异性材料和两相各向同性材料中的裂纹问题各提出一种辅助的位移应力场,证明Ｍ积分和Ｂｕｅｃｋｎｅｒ功共轭积分之间有一种固有的简单关系．这个关系与材料特征根无关,也不受界面裂纹尖端应力振荡奇性的影响．由此证明,Ｍ积分在上述三种情况下,从本质上说来源于Ｂｅｔｉ功互等定理．正像Ｊ积分的本质来源于功互等定理一样．只是辅助的位移应力场不同而已,这说明,Ｂｕｅｃｋｎｅｒ由Ｂｅｔｉ功互等定理提出的功共轭积分是更为一般的路径无关积分．因为,由Ｂｕｅｃｋｎｅｒ积分加上不同的辅助位移应力场可推出任何一种已发表的路径无关积分来．     

镓－茜素紫极谱络合吸附波的研究

在含有０．０５ｍｏｌ／ＬＨＡｃ－ＮａＡｃ（ｐＨ５．６）、０．１ｍｏｌ／ＬＫＣｌ和１．５×１０￣（－５）ｍｏｌ／Ｌ茜素紫的溶液中，镓（Ⅲ）－茜素紫络合物在单扫示波极谱仪上产生一灵敏的导致极谱波，峰电位在－１．１１Ｖ（ｖｓ．ＳＣＥ），峰电流与镓（Ⅲ）浓度在２．０×１０￣（－８）～２．０×１０￣（－６）ｍｏｌ／Ｌ范围内呈线性关系，检测限达１×１０￣（－８）ｍｏＬ／Ｌ机理研究表明，峰电流是由吸附在电极表面的络合物中的中心离子和配位体同时还原而产生的。方法已应用于铝合金中镓的测定，结果满意。     

Discussion on the Leibniz rule and Laplace transform of fractional derivatives using series representation

ABSTRACT

Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly. On this basis, the Lebiniz rule and Laplace transform of fractional calculus is investigated. It is analytically shown that the commonly used Leibniz rule cannot be applied for Caputo derivative. Similarly, the well-known Laplace transform of Riemann–Liouville derivative is doubtful for n-th continuously differentiable function. After pointing out such problems, the exact formula of Caputo Leibniz rule and the explanation of Riemann–Liouville Laplace transform are presented. Finally, three illustrative examples are revisited to confirm the obtained results.     

Stability for nonlinear fractional order systems: an indirect approach

In this paper, we first verify that fractional order systems using Caputo’s or Riemann–Liouville’s derivative can be represented by the continuous frequency distributed model with initial value carefully allocated. Then, the relation of the stability between the fractional order system and its corresponding integer order system is discussed and it is proven that stability of integer order system implies the stability of its corresponding fractional order system under some mild conditions. Moreover, we extend the stability theorems to the finite-dimensional case since fractional order systems are always implemented by approximation. Some illustrative examples are finally provided to show the usage and effectiveness of the proposed stability theorems.     

AN INVESTIGATION ON STRESS INTENSITY FACTORS OF INTERFACE CRACK FOR THREE TYPES OF SPECIMENS

The problems of finite bimaterial plates, bearing uniform tension, compact tension and three point bending, are studied by using the eigenfunction expansion variation method (EEVM). And interfacial stress intensity factors (SIFs) are determined. The SIFs varying with shear modulus μ and Poisson's ratios ν of both materials are discussed.     

电容式微超声波换能器的设计与电容值测试*

本文设计的微电容超声波换能器(CMUT)是由电容阵列组成的超声波传感器,主要是利用电容的改变来实现能量的转换。是基于硅硅键合技术的MEMS电容式超声传感器,制作的传感器误差小,并且工艺流程简单且能进行量产。在利用E4990A阻抗分析仪对传感器进行C—V测试分析而得出其电容的实际值与理论值的误差仅为1.6%。并且利用该仪器测试传感器电容在工作电压下随频率的变化,得出其在工作电压下,频率为400K的时候电容值为617.67PF,为对传感器进行理论计算提供了重要支撑,并且为后续转换电路的设计提供了数据支撑。     

非平衡等离子体对甲烷——氧扩散火焰影响的实验研究

利用自主设计的等离子喷注器采用介质阻挡放电方式产生非平衡等离子体,首先利用纹影技术、热电偶、单点红外测温等多种诊断方法实验研究了纯氧放电等离子体的电学特性、热效应及气动效应,然后通过可见光和化学自发辐射成像技术获得了火焰形态及特征参数,详细分析了等离子体对甲烷--纯氧扩散火焰形态和释热的影响,并计算了放电功率及费效比. 结果表明, 燃烧导致放电电流显著增大,其中电压幅值与氧气流速对放电电流大小的影响规律正好相反;与空气等离子体相比, 相同流量与电压条件下氧等离子体放电功率较高,但其发光强度明显较弱; 氧等离子体热效应微弱, 对燃烧的影响可以忽略,放电反应中释热过程主要由含氧组分决定;放电产生了具有3个速度分量的诱导射流, 增大了氧射流角,且电压越大越显著.等离子体主要通过气动效应改变了燃料与氧化剂的掺混,使得一定条件下火焰变得更稳定、释热更强.在所研究的范围内等离子体作用的费效比最低仅为2.2％,大流量、小混合比更有利.      

The explicit formulations for theL-integral

In this paper, a simple but inberent relation between theL-integral and the Bueckner work conjugate integral is proved for crack problems in isotropic, anisotropic, and dissimilar materials, respectively. It is found that, in the above-mentioned three cases, theL-integral, from the mathematical point of view as well as in principle, arises from Betti's reciprocal theorem. This means that the Bueckner work conjugate integral is a more general path-independent integral than the others since any other path-independent integrals could be derived by using the Bueckner integral while choosing a different subsidiary stress-displacement field.     

Ultra-high resolution spectral domain optical coherence tomography using supercontinuum light source

An ultra-high resolution spectral domain optical coherence tomography (SD-OCT) was developed using a cost-effective supercontinuum laser. A spectral filter consists of a dispersive prism, a cylindrical lens and a right-angle prism was built to transmit the wavelengths in range 680–940 nm to the OCT system. The SD-OCT has achieved 1.9 μm axial resolution and the sensitivity was estimated to be 91.5 dB. A zero-crossing fringes matching method which maps the wavelengths to the pixel indices of the spectrometer was proposed for the OCT spectral calibration. A double sided foam tape as a static sample and the tip of a middle finger as a biological sample were measured by the OCT. The adhesive and the internal structure of the foam of the tape were successfully visualized in three dimensions. Sweat ducts was clearly observed in the OCT images at very high resolution. To the best of our knowledge, this is the first demonstration of ultra-high resolution visualization of sweat duct by OCT.