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Assessing mixing uniformity in microreactors via in-line spectroscopy
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作者 Shusaku Asano Shinji Kudo +3 位作者 Taisuke Maki Yosuke Muranaka Kazuhiro Mae Jun-ichiro Hayashi 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2024年第2期119-124,共6页
Mixing behavior is critical for enhancing the selectivity of fast chemical reactions in microreactors.A high Reynolds number(Re)improves the mixing rate and selectivity of the reactions,but some exceptions of increasi... Mixing behavior is critical for enhancing the selectivity of fast chemical reactions in microreactors.A high Reynolds number(Re)improves the mixing rate and selectivity of the reactions,but some exceptions of increasing side product yield with the higher Re have been reported.This study investigated the mixing uniformity in microreactors with in-line UV-vis spectroscopy to clarify the relationship between reaction selectivity and chaotic mixing with the higher Re.A colorization experiment of thymolphthalein in an acidic solution was conducted with an excess acid amount to the base to indicate a non-uniformly mixed region.Non-uniformity significantly increased with Re.At the same time,the degree of mixing,which was measured by a usual decolorization experiment,showed that the mixing rate increased with Re.The in-line analysis of the Villermaux-Dushman reaction during the mixing clarified that side product yield significantly increased with Re at around 300 and then decreased at around 1100.These results suggest the compensation effect between the mixing uniformity and mixing rate on the selectivity of the mixing-sensitive reactions.Faster mixing,characterized by a larger Re,can disturb mixing uniformity and,in some cases,decrease reaction selectivity. 展开更多
关键词 MICROREACTOR Villermaux-Dushman reaction in-line analysis MIXING Mass transfer UNIFORMITY
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Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction
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作者 胡知遥 李其贤 +3 位作者 张轩晨 张贺宾 黄龙刚 刘永椿 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第8期63-70,共8页
Atomic nonlinear interferometry has wide applications in quantum metrology and quantum information science.Here we propose a nonlinear time-reversal interferometry scheme with high robustness and metrological gain bas... Atomic nonlinear interferometry has wide applications in quantum metrology and quantum information science.Here we propose a nonlinear time-reversal interferometry scheme with high robustness and metrological gain based on the spin squeezing generated by arbitrary quadratic collective-spin interaction,which could be described by the Lipkin–Meshkov–Glick(LMG)model.We optimize the squeezing process,encoding process,and anti-squeezing process,finding that the two particular cases of the LMG model,one-axis twisting and two-axis twisting outperform in robustness and precision,respectively.Moreover,we propose a Floquet driving method to realize equivalent time reverse in the atomic system,which leads to high performance in precision,robustness,and operability.Our study sets a benchmark for achieving high precision and high robustness in atomic nonlinear interferometry. 展开更多
关键词 time-reversal interferometry spin squeezing quantum metrology
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Study on the application of optical interferometry in the measurement of the coating thickness of color-coated plates
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作者 ZHANG Xiaota FAN Chun REN Yuling 《Baosteel Technical Research》 CAS 2024年第3期39-47,共9页
The principle and application of optical interferometry to measure the coating thickness of color-coated plates were introduced in this paper.Additionally,several factors affecting the test results,including coating r... The principle and application of optical interferometry to measure the coating thickness of color-coated plates were introduced in this paper.Additionally,several factors affecting the test results,including coating refractive index,wavelength range,and film thickness range setting,were analyzed.Among these,the refractive index of the color coating,which cannot be measured directly,was identified as the key factor.A solution to this problem was proposed.Finally,the optical interference method and the current detection methods,including the micrometer method and the magnetic eddy current method,were analyzed and compared.The results show that optical interferometry has better repeatability and reproducibility than the current methods and show no significant difference from the current methods through statistical tests.Therefore,the method can be applied to the detection of the coating thickness of color-coated plates. 展开更多
关键词 optical interferometry color-coated plates coating thickness
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The prediction on in-line vortex-induced vibration of slender marine structures 被引量:7
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作者 Wan-Hai Xu Xi-Feng Gao Jie Du 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第5期1303-1308,共6页
The in-line (IL) vortex-induced vibration (VIV) that occurs frequently in ocean engineering may cause severe fatigue damage in slender marine structures. To the best knowledge of the authors, in existing literatur... The in-line (IL) vortex-induced vibration (VIV) that occurs frequently in ocean engineering may cause severe fatigue damage in slender marine structures. To the best knowledge of the authors, in existing literatures, there is no efficient analytical model for predicting pure IL VIV. In this paper, a wake oscillator model capable of analyzing the IL VIV of slender marine structures has been developed. Two different kinds of van der Pol equations are used to describe the near wake dynamics related to the fluctuating nature of symmetric vortex shedding in the first excitation region and alternate vortex shedding in the second one. Some comparisons are carried out between the present model results and experimental data. It is found that many phenomena observed in experiments could be reproduced by the present wake oscillator model. 展开更多
关键词 Vortex-induced vibration Wake oscillatormodel in-line Slender marine structures
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Experimental Study on Coupled Cross-Flow and in-Line Vortex-Induced Vibration of Flexible Risers 被引量:8
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作者 郭海燕 娄敏 《China Ocean Engineering》 SCIE EI 2008年第1期123-129,共7页
In this work, we study the coupled cross-flow and in-line vortex-induced vibration (VIV) of a fixedly mounted flexible pipe, which is free to move in cross-flow ( Y- ) and in-line ( X- ) direction in a fluid flo... In this work, we study the coupled cross-flow and in-line vortex-induced vibration (VIV) of a fixedly mounted flexible pipe, which is free to move in cross-flow ( Y- ) and in-line ( X- ) direction in a fluid flow where the mass and natural frequencies are precisely the same in both X- and Y-direction. The fluid speed varies from low to high with the corresponding vortex shedding frequency varying from below the first natural frequency to above the second natural frequency of the flexible pipe. Particular emphasis was placed on the investigation of the relationship between in-line and cross-flow vibration. The experimental results analyzed by using these measurements exhibits several valuable features. 展开更多
关键词 flexible riser vortex-induced vibration cross-flow vibration in-line vibration
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Ultrafiltration with in-line coagulation for the removal of natural humic acid and membrane fouling mechanism 被引量:10
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作者 WANG Jin WANG Xiao-chang 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2006年第5期880-884,共5页
Experimental and theoretical analysis were made on the natural humic acid removal and the membrane fouling of ultrafiltration (UF) with in-line coagulation. The results showed dissolved organic carbon (DOC) and UV... Experimental and theoretical analysis were made on the natural humic acid removal and the membrane fouling of ultrafiltration (UF) with in-line coagulation. The results showed dissolved organic carbon (DOC) and UV254 removals by the UF with in-line coagulation at pH 7 were increased from 28% to 53% and 40% to 78% in comparison with direct UF treatment respectively. At the same time, the analysis of high performance liquid chromatography showed that UF with coagulation had significant improvement of removal of humic acid with molecular weights less than 6000 Da in particular. Compared to direct UF, the in-line coagulation UF also kept more constant permeate flux and very slight increase oftransmembrane pressure during a filtration circle. Two typical membrane fouling models were used by inducing two coefficients Kc and Kp corresponding to cake filtration model and pore narrowing model respectively. It was found that membrane fouling by pore-narrowing effect was effectively alleviated and that by cake-filtration was much decreased by in-line coagulation. Under the condition of coagulation prior to ultrafiltration at pH 7, the cake layer formed on the membrane surface became thicker, but the membrane filtration resistance was lower than that at pH 5 with the extension of operation time. 展开更多
关键词 natural humic acid ultrafiltration (UF) in-line coagulation high performance liquid chromatography (HPLC) membrane fouling
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In-line response of vertical cylinders in regular and random waves 被引量:2
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作者 LI Yok-sheung SU Wei +1 位作者 ZHAN Jiemin ZHAN Sheng 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2007年第6期124-138,共15页
The in-line response of a vertical flexibly mounted cylinder in regular and random waves is reported. Both theoretical analyses and experimental measurements have been performed. The theoretical predictions are based ... The in-line response of a vertical flexibly mounted cylinder in regular and random waves is reported. Both theoretical analyses and experimental measurements have been performed. The theoretical predictions are based on the Morison equation which is solved by the incremental harmonic balance method. Experiments are then performed in a wave flume to determine the accuracy of the Morison equation in predicting the in-line response of the cylinder in regular and random waves. The interaction between waves and vibrating cylinders are investigated. 展开更多
关键词 in-line response CYLINDER WAVES IHB method
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Three-axis magnetic flux leakage in-line inspection simulation based on finite-element analysis 被引量:4
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作者 冯健 张峻峰 +2 位作者 卢森骧 王宏阳 马瑞泽 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第1期531-536,共6页
With the increase of pipelines, corrosion leakage accidents happen frequently. Therefore, nondestructive testing technology is important for ensuring the safe operation of the pipelines and energy mining. In this pape... With the increase of pipelines, corrosion leakage accidents happen frequently. Therefore, nondestructive testing technology is important for ensuring the safe operation of the pipelines and energy mining. In this paper, the structure and principle of magnetic flux leakage (MFL) in-line inspection system is introduced first. Besides, a mathematic model of the system according to the ampere circuit rule, flux continuity theorem, and column coordinate transform is built, and the magnetic flux density in every point of space is calculated based on the theory of finite element analysis. Then we analyze and design the disposition of measurement section probes and sensors combining both three-axis MFL in-line inspection and multi-sensor fusion technology. Its advantage is that the three-axis changes of magnetic flux leakage field are measured by the multi-probes at the same time, so we can determine various defects accurately. Finally, the theory of finite element analysis is used to build a finite element simulation model, and the relationship between defects and MFL inspection signals is studied. Simulation and experiment results verify that the method not only enhances the detection ability to different types of defects but also improves the precision and reliability of the inspection system. 展开更多
关键词 magnetic flux leakage in-line inspection multi-sensor data fusion sensor disposition finite element analysis
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Nonlinear Coupled in-Line and Cross-Flow Vortex-Induced Vibration Analysis of Top Tensioned Riser 被引量:4
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作者 李效民 郭海燕 孟凡顺 《China Ocean Engineering》 SCIE EI 2010年第4期749-758,共10页
The fluctuating furces of the fluid exerted on the top terrsioned riser ('FIR) in the in-line and cross-flow directions are both modeled by van del Pol wake oscillator model and the nonlinear coupled dynamics of th... The fluctuating furces of the fluid exerted on the top terrsioned riser ('FIR) in the in-line and cross-flow directions are both modeled by van del Pol wake oscillator model and the nonlinear coupled dynamics of the in-line and cross-flow vortex-induced vibrations (VIV) of the riser are analyzed in time domain in this papar. The numencal shnulation results of the riser's in-line and cross-flow displacements and curvatures are compared with experimental measurements and the comparison shows the validity of this method in modeling some main features of the riser's VIV. Finally, the effects of the riser's top tensions and internal flow velocities on the coupled vibrations of the riser are investigated. 展开更多
关键词 top tensioned riser (TFR) vortex-induced vibration (VIV) wake oscillator model in-line and cross-flowvibration
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Anisotropic total variation minimization approach in in-line phase-contrast tomography and its application to correction of ring artifacts 被引量:1
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作者 冀东江 渠刚荣 +3 位作者 胡春红 刘宝东 简建波 郭晓坤 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第6期93-100,共8页
In-line phase-contrast computed tomography(IL-PC-CT) imaging is a new physical and biochemical imaging method.IL-PC-CT has advantages compared to absorption CT when imaging soft tissues. In practical applications, r... In-line phase-contrast computed tomography(IL-PC-CT) imaging is a new physical and biochemical imaging method.IL-PC-CT has advantages compared to absorption CT when imaging soft tissues. In practical applications, ring artifacts which will reduce the image quality are commonly encountered in IL-PC-CT, and numerous correction methods exist to either pre-process the sinogram or post-process the reconstructed image. In this study, we develop an IL-PC-CT reconstruction method based on anisotropic total variation(TV) minimization. Using this method, the ring artifacts are corrected during the reconstruction process. This method is compared with two methods: a sinogram preprocessing correction technique based on wavelet-FFT filter and a reconstruction method based on isotropic TV. The correction results show that the proposed method can reduce visible ring artifacts while preserving the liver section details for real liver section synchrotron data. 展开更多
关键词 SART anisotropic TV in-line phase-contrast
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Determination of inorganic anions in ethyl acetate by in-line hollow fiber membrane extraction with ion chromatography 被引量:1
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作者 Zhen Zhen Hu Ying Ying Zhong Yun Chang Fan Yan Zhu 《Chinese Chemical Letters》 SCIE CAS CSCD 2009年第12期1498-1501,共4页
In this work, a novel hollow fiber membrane extractor was set up to extract inorganic anions from ethyl acetate using deionized water. Inorganic anions in slightly soluble organic solvents can be determined by the in-... In this work, a novel hollow fiber membrane extractor was set up to extract inorganic anions from ethyl acetate using deionized water. Inorganic anions in slightly soluble organic solvents can be determined by the in-line hollow fiber membrane extractor coupled with ion chromatography at first time. Different aspects of the extraction procedure such as magnetic stirring speed, extraction flow rate and extraction time were optimized to achieve high extraction efficiency and good separation results. Satisfactory linear range, limits of detection and good repeatability were obtained. The procedure was applied to analyze inorganic anions in two commercial ethyl acetate samples. 展开更多
关键词 Inorganic anions Ethyl acetate in-line hollow fiber membrane extraction Ion chromatography
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Achieving 1.2 fm/Hz^(1/2)Displacement Sensitivity with Laser Interferometry in Two-Dimensional Nanomechanical Resonators:Pathways towards Quantum-Noise-Limited Measurement at Room Temperature 被引量:2
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作者 Jiankai Zhu Luming Wang +8 位作者 Jiaqi Wu Yachun Liang Fei Xiao Bo Xu Zejuan Zhang Xiulian Fan Yu Zhou Juan Xia Zenghui Wang 《Chinese Physics Letters》 SCIE EI CAS CSCD 2023年第3期74-81,共8页
Laser interferometry is an important technique for ultrasensitive detection of motion and displacement.We push the limit of laser interferometry through noise optimization and device engineering.The contribution of no... Laser interferometry is an important technique for ultrasensitive detection of motion and displacement.We push the limit of laser interferometry through noise optimization and device engineering.The contribution of noises other than shot noise is reduced from 92.6%to 62.4%,demonstrating the possibility towards shotnoise-limited measurement.Using noise thermometry,we quantify the laser heating effect and determine the range of laser power values for room-temperature measurements.With detailed analysis and optimization of signal transduction,we achieve 1.2 fm/Hz^(1/2)displacement measurement sensitivity at room temperature in twodimensional(2D)Ca Nb_(2)O_(6)nanomechanical resonators,the best value reported to date among all resonators based on 2D materials.Our work demonstrates a possible pathway towards quantum-noise-limited measurement at room temperature. 展开更多
关键词 noise interferometry optimization
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STUDY ON AUTOMATIC IN-LINE MEASUREMENT OF FeO CONTENT IN AGGLOMERATE
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作者 王明阳 陈前平 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 1995年第3期53-57,共5页
In this paper, the mechanism of physical method for measuring the FeO content in agglomerate replacing the chemical method is proposed after studying the electromagnetic property of the agglomerate. The microcomputer-... In this paper, the mechanism of physical method for measuring the FeO content in agglomerate replacing the chemical method is proposed after studying the electromagnetic property of the agglomerate. The microcomputer-measuring system for FeO content is provided. Attention is also paid to introducing the working principle of the H-type compensation sensor and the processing method of the measured data. This system has been successfully applied in practice to in-line measure the FeO content. 展开更多
关键词 AGGLOMERATE FeO content in-line measurement SENSOR
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In-line phase contrast for weakly absorbing materials with a microfocus x-ray source
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作者 章迪 李政 +2 位作者 黄志峰 禹爱民 沙薇 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第8期1731-1737,共7页
For weakly absorbing materials, image contrast can be enhanced by phase contrast in formation. The effectiveness of the in-line phase contrast technique relies on its ability to record intensity data which contain inf... For weakly absorbing materials, image contrast can be enhanced by phase contrast in formation. The effectiveness of the in-line phase contrast technique relies on its ability to record intensity data which contain information on the x- ray's phase shift. Four kinds of approaches to the relationship between intensity distribution and phase shift axe reviewed and discussed. A micro-focal x-ray source with high geometrical magnification is used to acquire phase contrast images. A great improvement on image quality is shown and geometrical parameters axe modified for comparison between different imaging positions. 展开更多
关键词 in-line phase contrast intensity distribution MICROFOCUS Fresnel diffraction
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Large Eddy Simulation on Interaction Between in-Line and Cross-Flow Oscillation of A Circular Cylinder
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作者 黄智勇 Carl M.LARSEN 《China Ocean Engineering》 SCIE EI 2010年第4期663-676,共14页
This paper discusses numerical results from three-dimensional large eddy simulations of an oscillating cylinder under prescribed movements in uniform flow. Six cases, namely pure in-line, pure cross-flow and two group... This paper discusses numerical results from three-dimensional large eddy simulations of an oscillating cylinder under prescribed movements in uniform flow. Six cases, namely pure in-line, pure cross-flow and two groups of 'Figure of Eight' oscillation patterns are under investigation at Reynolds number Re = 24000. The ' Figure of Eight' pattern in each group is with identical shape but oppusite orbital directions. The numerical results on hydrodynamic forces, higher order force components, and vortex shedding modes are extensively studied and compared with the measured experimental data. It is found that the fluid force in phase with the velocity, which represents the energy transfer between the fluid and the cylinder, has opposite sign and different magnitude due to the opposite orbital direction. Higher order force components in cross-flow direction are found to occur at odd nmnber times of the oscillating frequency, while even nmbers dominate the higher order force components in in-llne direction. The 2C and 2T vortex shedding modes are well reproduced due to the opposite orbital direction effect. Comparisons between numerical and experimental results indicate that the present numerical model could be a rational tool for the identification of hydrodynamic coefficients which are normally applied in empirical models to predict the vortex-induced vibrations of slender marine structures. 展开更多
关键词 vortex-ivduced vibration large eddy simulation forced oscillation in-line CROSS-FLOW
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Influence of tube voltage and current on in-line phase contrast imaging using a microfocus x-ray source
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作者 李晨 李政 +1 位作者 禹爱民 黎成权 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第8期2319-2324,共6页
In-line x-ray phase contrast imaging has attracted much attention due to two major advantages: its effectiveness in imaging weakly absorbing materials, and the simplicity of its facilities. In this paper a comprehens... In-line x-ray phase contrast imaging has attracted much attention due to two major advantages: its effectiveness in imaging weakly absorbing materials, and the simplicity of its facilities. In this paper a comprehensive theory based on Wigner distribution developed by Wu and Liu [Med. Phys. 31 2378-2384 (2004)] is reviewed. The influence of x-ray source and detector on the image is discussed. Experiments using a microfocus x-ray source and a CCD detector are conducted, which show the role of two key factors on imaging: the tube voltage and tube current. High tube current and moderate tube voltage are suggested for imaging. 展开更多
关键词 X-RAY in-line phase contrast imaging Wigner distribution
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Wide-spectrum optical synthetic aperture imaging via spatial intensity interferometry 被引量:1
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作者 Chunyan Chu Zhentao Liu +4 位作者 Mingliang Chen Xuehui Shao Guohai Situ Yuejin Zhao Shensheng Han 《Opto-Electronic Advances》 SCIE EI CAS CSCD 2023年第12期27-35,共9页
High resolution imaging is achieved using increasingly larger apertures and successively shorter wavelengths.Optical aperture synthesis is an important high-resolution imaging technology used in astronomy.Conventional... High resolution imaging is achieved using increasingly larger apertures and successively shorter wavelengths.Optical aperture synthesis is an important high-resolution imaging technology used in astronomy.Conventional long baseline amplitude interferometry is susceptible to uncontrollable phase fluctuations,and the technical difficulty increases rapidly as the wavelength decreases.The intensity interferometry inspired by HBT experiment is essentially insensitive to phase fluctuations,but suffers from a narrow spectral bandwidth which results in a lack of effective photons.In this study,we propose optical synthetic aperture imaging based on spatial intensity interferometry.This not only realizes diffraction-limited optical aperture synthesis in a single shot,but also enables imaging with a wide spectral bandwidth,which greatly improves the optical energy efficiency of intensity interferometry.And this method is insensitive to the optical path difference between the sub-apertures.Simulations and experiments present optical aperture synthesis diffraction-limited imaging through spatial intensity interferometry in a 100 nm spectral width of visible light,whose maximum optical path difference between the sub-apertures reaches 69λ.This technique is expected to provide a solution for optical aperture synthesis over kilometer-long baselines at optical wavelengths. 展开更多
关键词 optical synthetic aperture imaging ghost imaging intensity interferometry
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Design of in-line multipoint initiation control system
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作者 李守殿 袁士伟 曾庆轩 《Journal of Beijing Institute of Technology》 EI CAS 2011年第3期306-311,共6页
In order to improve the power of initiating explosive warheads, besides exploring new type of high explosive, multipoint initiation technology becomes the research focus. With research on electronic safety and arming ... In order to improve the power of initiating explosive warheads, besides exploring new type of high explosive, multipoint initiation technology becomes the research focus. With research on electronic safety and arming devices (ESADs), pulse power devices and slapper detonators, a hardware control circuit was designed for multipoint initiation control system based on complex programmable logic device ( CPLD ). In addition, a real-time monitoring interface based on virtual instru- ments technology was designed by the prevailing software of Laboratory Virtual Instrument Engineer- ing Workbench (LabVIEW). It provides users a real-time status of the hardware circuit system. Mo- reover, a series of experiments were done on the software and hardware platform. The results show that the signals transmission, collection, analysis and display can be realized reliably through a serial port line. It is verified that using a serial bus controller for multiple initiators is reasonable. Successful design of the platform will play an important foundation for the theory and engineering of the fu- ture weapon system. Surely, it will become one of the development directions for intelligent initia- tion system. 展开更多
关键词 multipoint initiation control system in-line electronic safety and arming virtual instrument
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Hard X-ray in-line outline imaging for blood vessels:first generation synchrotron radiation without contrast agents in vitro
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作者 姜庆军 冯赟 +5 位作者 肖湘生 刘士远 陈敏 肖体乔 田玉莲 朱佩平 《Journal of Medical Colleges of PLA(China)》 CAS 2006年第1期34-37,共4页
Objective: Phase-contrast X-ray imaging which reduces radiation exposure, is a promising technique for observing the inner structures of biological soft tissues without the aid of contrast agents. The present study in... Objective: Phase-contrast X-ray imaging which reduces radiation exposure, is a promising technique for observing the inner structures of biological soft tissues without the aid of contrast agents. The present study intends to depict blood vessels of rabbits and human livers with hard X-ray in-line outline imaging without contrast agents using synchrotron radiation. Methods: All samples were fixed with formalin and sliced into 6 mm sections. The imaging experiments were performed with Fuji-IX80 films on the 4W1A light beam of the first generation synchrotron radiation in Beijing, China. The device of the experiment, which supplies a maximum light spot size of 20×10 mm was similar to that of in-line holography. The photon energy was set at 8 KeV and high quality imagines were obtained by altering the distance between the sample and the film. Results: The trees of rabbit-liver blood vessels and the curved vessels of the cirrhotic human liver were revealed on the images, where vessels < 20 μm in diameter were differentiated. Conclusion: These results show that the blood vessels of liver samples can be revealed by using hard X-ray in-line outline imaging with the first generation synchrotron radiation without contrast agents. 展开更多
关键词 hard X-ray in-line outline imaging X-ray phase-contrast imaging blood vessels imaging synchrotron radiation
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Interactions between two in-line drops rising in pure glycerin
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作者 Li Rao Zhengming Gao +1 位作者 Ziqi Cai Yuyun Bao 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2016年第10期1325-1334,共10页
The behaviors of time-dependent interaction between two buoyancy-driven in-line deformable drops rising in pure glycerin at Re 〈 1 were studied, where the diameter for the leading drops ranged from 9.51 mm to 12.6 mm... The behaviors of time-dependent interaction between two buoyancy-driven in-line deformable drops rising in pure glycerin at Re 〈 1 were studied, where the diameter for the leading drops ranged from 9.51 mm to 12.6 mm and for trailing drops from 12.7 mm to 15.8 mm. The situation while a larger drop chasing a smaller one was specifically considered which typically led to the smaller drop "coating" the larger one. Two approaches, the geometric feature approach and the energy change one, were used to judge the starting and ending times of the interaction between two drops. Based on a conical wake model, the drag coefficient of two approaching drops was calculated. Due to the approaching effect of the trailing drop, the leading drop was accelerated and the average drag coefficient was smaller than that for a free rising single drop. The frequency spectrums of the lateral oscillation of two drops during the interaction were obtained by using Fourier analysis. The oscillation frequency of the interactional drops was also different from that for a free rising single drop because of the wake effect produced by the leading drop. Due to a superposition of the drop shape oscillation and the drop internal circulation, the transverse oscillation frequencies of two drops have the same trend during the approaching process. 展开更多
关键词 Two in-line drops Oscillation Fourier analysis Energy analysis
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