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Study on Excess Thermodynamic Parameters and Theoretical Estimation of Ultrasonic Velocity Using Scaled Particle Theory in Binary Liquid Mixtures of 2-Methyl-2-propanol and Nitriles at Different Temperatures 被引量:2
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作者 K. Rajagopal S. Chenthilnath 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2010年第5期804-816,共13页
Density, ρ, ultrasonic speed, u, and viscosity, η, of binary mixtures of 2-methyl-2-propanol (2M2P) with acetonitrile (AN), propionitrile (PN) and butyronitrile (BN) including those of pure liquids are measured over... Density, ρ, ultrasonic speed, u, and viscosity, η, of binary mixtures of 2-methyl-2-propanol (2M2P) with acetonitrile (AN), propionitrile (PN) and butyronitrile (BN) including those of pure liquids are measured over the entire composition range at temperatures 298.15, 303.15 and 308.15 K. From these experimental data, the excess available volume, E a V , excess free volume, E f V , excess isothermal compressibility, E T β , excess thermal expansion coefficient, E α , and excess internal pressure, E i π , are calculated. The variation of these properties with composition and temperature are discussed in terms of molecular interactions between unlike molecules of the mixtures. It is found that the values of E a V , E f V , E T β and E α are positive and those of E i π are negative for all the mixtures at each temperature studied, indicating the presence of weak interactions between 2M2P and AN/PN/BN molecules. The variations of E a V , E f V , E T β , E α and E i π values with composition indicate that the interactions in these mixtures follow the order: AN<PN<BN, i.e., the 2M2P-nitrile interaction decreases with the increase of alkyl chain length in these nitrile molecules. In addition, the theoretical ultrasonic velocity is calculated using the scaled particle theory and compared with the experimental values. 展开更多
关键词 2-methyl-2-propanol homologous nitriles excess properties molecular interactions scaled particle theory
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Scaled particle theory for bulk and confined fluids: A review
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作者 Wei Dong XiaoSong Chen 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2018年第7期1-17,共17页
More than half a century after its first formulation by Reiss, Frisch and Lebowitz in 1959, scaled particle theory(SPT) has proven its immense usefulness and has become one of the most successful theories in liquid ph... More than half a century after its first formulation by Reiss, Frisch and Lebowitz in 1959, scaled particle theory(SPT) has proven its immense usefulness and has become one of the most successful theories in liquid physics. In recent years, we have strived to extend SPT to fluids confined in a variety of random porous matrices. In this article, we present a timely review of these developments. We have endeavored to present a formulation that is pedagogically more accessible than those presented in various original papers, and we hope this benefits newcomers in their research work. We also use more consistent notations for different cases. In addition, we discuss issues that have been scarcely considered in the literature, e.g., the one-fluid structure of SPT due to the isomorphism between the equation of state for a multicomponent fluid and that for a one-component fluid or the pure-confinement scaling relation that provides a connection between a confined and a bulk fluid. 展开更多
关键词 fluids confined in porous media scaled particle theory hard sphere fluids
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Modeling of Surface Tension and Viscosity for Non-electrolyte Systems by Means of the Equation of State for Square-well Chain Fluids with Variable Interaction Range 被引量:1
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作者 LI Jinlong HE Changchun MA Jun PENG Changjun LIU Honglai HU Ying 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2011年第4期533-542,共10页
The equation of state(EOS)for square-well chain fluid with variable range(SWCF-VR) developed in our previous work based on statistical mechanical theory for chemical association is employed for the correlations of sur... The equation of state(EOS)for square-well chain fluid with variable range(SWCF-VR) developed in our previous work based on statistical mechanical theory for chemical association is employed for the correlations of surface tension and viscosity of common fluids and ionic liquids(ILs).A model of surface tension for multi-component mixtures is presented by combining the SWCF-VR EOS and the scaled particle theory and used to produce the surface tension of binary and ternary mixtures.The predicted surface tensions are in excellent agreement with the experimental data with an overall average absolute relative deviation(AAD)of 0.36%.A method for the calculation of dynamic viscosity of common fluids and ILs at high pressure is presented by combining Eyring’s rate theory of viscosity and the SWCF-VR EOS.The calculated viscosities are in good agreement with the experimental data with the overall AAD of 1.44% for 14 fluids in 84 cases.The salient feature is that the molecular parameters used in these models are self-consistent and can be applied to calculate different thermodynamic properties such as pVT,vapor-liquid equilibrium,caloric properties,surface tension,and viscosity. 展开更多
关键词 surface tension VISCOSITY equation of state square-well chain scaled particle theory Eyring’s theory ionic liquid
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Measurement of Electron-Drift Velocity in Ar+CH4 Mixtures Using Double-Grid Method 被引量:1
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作者 张家国 张国辉 陈金象 《Chinese Physics Letters》 SCIE CAS CSCD 2009年第11期41-44,共4页
Based on analyzing the induced signals from the double-grids of an ionization chamber, the electron-drift time between the two grids is determined and the electron-drift velocity is derived. A waveform digitizer is em... Based on analyzing the induced signals from the double-grids of an ionization chamber, the electron-drift time between the two grids is determined and the electron-drift velocity is derived. A waveform digitizer is employed to record pulses from the two grids of the ionization chamber. The electron-drift velocity is measured as a function of the reduced electric field E/p for eight different ratios of Ar+CH4 mixtures. By analyzing the experimental data of this study, self-consistency of experimental data is achieved, and formulae for calculating electron-drift velocity in any ratio of Ar+CH4 mixtures are obtained. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement Plasma physics particle physics and field theory
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Monte Carlo Study on Singly Tagged D Mesons at BES-III 被引量:1
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作者 赵明刚 喻纯旭 李学潜 《Chinese Physics Letters》 SCIE CAS CSCD 2009年第12期64-66,共3页
We present Monte Carlo studies on the singly tagged D mesons, which are crucial in the absolute measurements of D meson decays, based on a full Monte Carlo simulation for the BES-III detector, with the BES-III Offline... We present Monte Carlo studies on the singly tagged D mesons, which are crucial in the absolute measurements of D meson decays, based on a full Monte Carlo simulation for the BES-III detector, with the BES-III Offline Software System. The expected detection efficiencies and mass resolutions of the tagged D mesons are well estimated. 展开更多
关键词 particle physics and field theory
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Characterizing THz Coherent Synchrotron Radiation at Femtosecond Linear Accelerator
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作者 林栩凌 张建兵 +4 位作者 卢裕 雒峰 陆善良 俞铁民 戴志敏 《Chinese Physics Letters》 SCIE CAS CSCD 2009年第12期103-105,共3页
The generation and observation of coherent THz synchrotron radiation from femtosecond electron bunches in the Shanghai Institute of Applied Physics femtosecond accelerator device is reported. We describe the experimen... The generation and observation of coherent THz synchrotron radiation from femtosecond electron bunches in the Shanghai Institute of Applied Physics femtosecond accelerator device is reported. We describe the experiment setup and present the first result of THz radiation properties such as power and spectrum. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement Optics quantum optics and lasers particle physics and field theory
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Theoretical Design of a 104MHz Ladder Type IH-RFQ Accelerator
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作者 聂元存 陆元荣 +5 位作者 陈佳洱 颜学庆 高淑丽 朱昆 刘克新 郭之虞 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第11期47-50,共4页
Beam dynamics and rf designs of a 104 MHz ladder type IH-RFQ (L-IH-RFQ) accelerator are finished at Peking University for the acceleration of 14C+ from 40 keV to 500 keV. As a specific feature, the output beam ener... Beam dynamics and rf designs of a 104 MHz ladder type IH-RFQ (L-IH-RFQ) accelerator are finished at Peking University for the acceleration of 14C+ from 40 keV to 500 keV. As a specific feature, the output beam energy spread is as low as 0.6% achieved with the internal discrete bunching method, which makes potential applications of RFQ feasible, such as accelerator mass spectrometry and ion implantation. Tolerances of the beam dynamics design are studied by means of changing the input beam parameters, and the results are quite satisfying. On the other hand, the L-IH-RFQ structure is employed, taking advantage of its mechanical stability and the absence of inter-electrode voltage asymmetry. Radio-frequency properties are studied and optimized for reducing power loss with Microwave Studio (MWS). Tuning of the field flatness and frequency is investigated in principle. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement particle physics and field theory
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High Power THz Undulator Radiation from Linear Accelerator
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作者 林栩凌 张建兵 +4 位作者 卢裕 雒峰 陆善良 俞铁民 戴志敏 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第4期107-109,共3页
A 30-MeV femto-second electron linac is built at the Shanghai Institute of Applied Physics, which can produce high power, coherent THz undulator radiation. We report the experimental facility and measurement of the po... A 30-MeV femto-second electron linac is built at the Shanghai Institute of Applied Physics, which can produce high power, coherent THz undulator radiation. We report the experimental facility and measurement of the power, frequency spectrum. First experiments show the averaged power at THz to be about 20mW. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement particle physics and field theory
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Progress in AMS Measurement of 182Hf at CIAE
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作者 董克君 何明 +23 位作者 李振宇 王祥高 李朝历 游曲波 包轶文 武绍勇 沈洪涛 管永精 张伟 凡金龙 杨磊 孙宏清 丁有钱 贺国珠 李世琢 龚杰 何贤文 陆丽燕 王伟 胡跃明 袁坚 张生栋 常永福 姜山 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第11期27-30,共4页
Accelerator mass spectrometry (AMS) is one of the most promising methods to detect minute amounts of 182Hf. However, the sensitivity of 5×10^-11 for ^182Hf/180Hf obtained previously by the AMS method at China I... Accelerator mass spectrometry (AMS) is one of the most promising methods to detect minute amounts of 182Hf. However, the sensitivity of 5×10^-11 for ^182Hf/180Hf obtained previously by the AMS method at China Institute of Atomic Energy (CIAE) cannot meet the requirement of some applications. We present some new improvements of measurement method for AMS measurement of 182Hf at the CIAE HI?13 tandem accelerator system. As a result, a sensitivity of 1.0×10^-11 for 182Hf/180Hf is achieved. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement particle physics and field theory
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Proton Acceleration with Nano-Scale Micro-Structured Target by Circularly Polarized Laser Pulse
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作者 金张英 沈百飞 +5 位作者 张晓梅 王凤超 温猛 吉亮亮 徐建彩 王文鹏 《Chinese Physics Letters》 SCIE CAS CSCD 2009年第12期179-182,共4页
Two dimensional particle-in-cell simulations are taken to study the interaction of a circularly polarized laser pulse with a nano-scale micro-structured target. The protons which are doped in the rear side of the targ... Two dimensional particle-in-cell simulations are taken to study the interaction of a circularly polarized laser pulse with a nano-scale micro-structured target. The protons which are doped in the rear side of the target experience the electrostatic fields caused by both the radiation pressure driven shock and the target normal sheath at the rear side of the target. A quasimonoenergetic proton bunch with central energy of about 11MeV and energy spread of &#8710; ε/ε about 0.18 is achieved by using a 3.45×1019 W/cm2, 66fs laser pulse. A comparison with the case of linearly polarized laser pulse and the same target condition is considered. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement Optics quantum optics and lasers Plasma physics particle physics and field theory
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Proton Ratio of HL-2A Bucket Ion Source
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作者 于利明 雷光玖 +10 位作者 曹建勇 杨立梅 姜韶风 韩小玉 张贤明 孙平 邹桂清 卢大伦 刘鹤 江涛 段旭如 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第4期75-78,共4页
For heating the tokamak plasma effectively, the ion source must be capable of producing ions with high proton ratio. The proton ratio, which is found to be more than 65.6% at the ion current of 19.6A with the extracti... For heating the tokamak plasma effectively, the ion source must be capable of producing ions with high proton ratio. The proton ratio, which is found to be more than 65.6% at the ion current of 19.6A with the extraction voltage of 39.6 k V, is measured with an image spectrograph by Doppler shift effect of Balmer-α-radiation spectrum emitted from fast hydrogen particles. The tendency of proton ratio with the ion density in experiment is almost the same as the mode devised by Zhang et al. Okumura et al. only gave the affection of the plasma volume and ion loss area on the proton ratio, but the relationship between the ion density in chamber and the proton ratio was not presented. We give the relationship. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement Plasma physics particle physics and field theory
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Time-Resolved Measurement of Radiatively Heated Iron 2p-3d Transmission Spectra
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作者 赵阳 尚万里 +6 位作者 熊刚 靳奉涛 胡智民 韦敏习 杨国洪 张继彦 杨家敏 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第11期55-58,共4页
An experimental measurement of radiatively heated iron plasma transmission spectra was performed on Shenguang II laser facility. In the measurement, the self?emission spectrum, the backlighting spectrum, and the abso... An experimental measurement of radiatively heated iron plasma transmission spectra was performed on Shenguang II laser facility. In the measurement, the self?emission spectrum, the backlighting spectrum, and the absorption spectrum were imaged with a flat filed grating and recorded on a gated micro channel plate detector to obtain the time-resolved transmission spectra in the range 10-20 ? (approximately 0.6-1.3 keV). Experimental results are compared with the calculation results of an unsolved transition array (UTA) code. The time-dependent relative shift in the positions of the 2p-3d transmission array is interpreted in terms of the plasma temperature variations. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement Plasma physics particle physics and field theory
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Calculation of Quark-Number Susceptibility at Finite Chemical Potential and Temperature
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作者 曹京 赵阿蒙 +2 位作者 罗柳军 孙为民 宗红石 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第3期80-83,共4页
We use the direct method proposed by He et al. [Phys. Lett. B 680 (2009) 432) to calculate the quark-number susceptibility (QNS) at finite temperature and the chemical potential in the quasi-particle model. In ou... We use the direct method proposed by He et al. [Phys. Lett. B 680 (2009) 432) to calculate the quark-number susceptibility (QNS) at finite temperature and the chemical potential in the quasi-particle model. In our approach the QNS is given by a formula solely involving the dressed quark propagator at finite chemical potential μ and temperature Τ. The QNS at finite μ and Τ is calculated in the quasi-particle model. It is found that at high temperatures the QNS tends to the ideal quark gas result. At very small temperatures the QNS vanishes. This vanishing behavior in the low-temperature region is consistent with the lattice results. For μ∈ [0,180] MeV, our results show that there exists a rapid increase of QNS near some temperatures. The temperature at which the rapid increase occurs shifts to smaller values with the increasing quark chemical potential. This rapid increase could be regarded as a signal of a crossover. 展开更多
关键词 particle physics and field theory
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The Renormalized Equation of State and Quark Star
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作者 李华 罗新炼 +1 位作者 蒋宇 宗红石 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第12期27-30,共4页
By means of the EOS of QCD at zero temperature and finite quark chemical potential we proposed [Phys. Rev. D 78 (2008) 054001] in the framework of rainbow-ladder approximation of Dyson-Schwinger approach, we investi... By means of the EOS of QCD at zero temperature and finite quark chemical potential we proposed [Phys. Rev. D 78 (2008) 054001] in the framework of rainbow-ladder approximation of Dyson-Schwinger approach, we investigate the structure of quark star and its property. It is found that the mass-radius relation in our model is very different from that of usual quark star models, but similar to neutron star models. The obtained mass of quark star is about 1.75M⊙- 2.2M⊙. The obtained radius of quark star is 22 - 26 km, which is obviously larger than the results in other models. The reason for this discrepancy is analyzed. 展开更多
关键词 particle physics and field theory
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Assessment of Primordial Radionuclides in Pakistani Red Bricks and Associated Radiation Doses
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作者 K. Khan A. Jabbar +2 位作者 P. Akhter M. Tufail H. M. Khan 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第3期343-346,共4页
Specific activity of primordial radionuclides and associated radiation hazards due to 40K, 226Ra, and 232Th have been measured in backed red brick samples, collected from five highly populated areas of the North West ... Specific activity of primordial radionuclides and associated radiation hazards due to 40K, 226Ra, and 232Th have been measured in backed red brick samples, collected from five highly populated areas of the North West Frontier Province of Pakistan. For the detection, analysis and data acquisition, a high purity germanium detector was used. Associated external doses were calculated using a Monte Carlo neutron photon transport code. A theoretical model to determine the gamma dose rate at 1 m height from the floor, made of bricks, was employed for the calculation of mass attenuation coefficient and self-absorption in the floor for the gamma energies of these radionuclides and their progeny. Monte Carlo simulation shows that in this study the floor, having more than an effective thickness of 15 cm, contributes very little to the external gamma dose rate. The values of the external dose rate and annual effective dose are found to be much lower than the world average as well as from other countries of the world. 展开更多
关键词 ACCELERATORS beams and electromagnetism Nuclear physics Instrumentation and measurement Environmental and Earth science particle physics and field theory Astrophysics and astroparticles
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Solar-stellar astrophysics and dark matter
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作者 Sylvaine Turck-Chize Ilídio Lopes 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2012年第8期1107-1138,共32页
In this review, we recall how stars contribute to the search for dark matter and the specific role of the Sun. We describe a more complete picture of the solar interior that emerges from neutrino detections, gravity a... In this review, we recall how stars contribute to the search for dark matter and the specific role of the Sun. We describe a more complete picture of the solar interior that emerges from neutrino detections, gravity and acoustic mode measurements of the Solar and Heliospheric Observatory (SOHO) satellite, becoming a reference for the most common stars in the Universe. The Sun is a unique star in that we can observe directly the effect of dark matter. The absence of a signature related to Weakly Interacting Massive Particles (WIMPs) in its core disfavors a WIMP mass range below 12 GeV. We give arguments to continue this search on the Sun and other promising cases. We also examine another dark matter candidate, the sterile neutrino, and infer the limitations of the classical structural equations. Open questions on the young Sun, when planets formed, and on its present internal dynamics are finally dis- cussed. Future directions are proposed for the next decade: a better description of the solar core, a generalization to stars coming from seismic missions and a better under- standing of the dynamics of our galaxy which are all crucial keys for understanding dark matter. 展开更多
关键词 stellar evolution: theory -- elementary particles -- helioseismology --dark matter -- early solar-planet relationship
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Primordial black holes
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作者 Maxim Yu.Khlopov 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2010年第6期495-528,共34页
Primordial black holes (PBHs) are a profound signature of primordial cosmological structures and provide a theoretical tool to study nontrivial physics of the early Universe. The mechanisms of PBH formation are disc... Primordial black holes (PBHs) are a profound signature of primordial cosmological structures and provide a theoretical tool to study nontrivial physics of the early Universe. The mechanisms of PBH formation are discussed and observational constraints on the PBH spectrum, or effects of PBH evaporation, are shown to restrict a wide range of particle physics models, predicting an enhancement of the ultraviolet part of the spectrum of density perturbations, early dust-like stages, first order phase transitions and stages of superheavy metastable particle dominance in the early Universe. The mechanism of closed wall contraction can lead, in the inflationary Universe, to a new approach to galaxy formation, involving primordial clouds of massive BHs created around the intermediate mass or supermassive BH and playing the role of galactic seeds. 展开更多
关键词 cosmology: theory -- elementary particles -- black hole physics -- dark matter -- early universe
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On the limitations of linear beams for the problems of moving mass-beam interaction using a meshfree method
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作者 Keivan Kiani Ali Nikkhoo 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第1期164-179,共16页
This paper deals with the capabilities of linear and nonlinear beam theories in predicting the dynamic response of an elastically supported thin beam traversed by a moving mass. To this end, the discrete equations of ... This paper deals with the capabilities of linear and nonlinear beam theories in predicting the dynamic response of an elastically supported thin beam traversed by a moving mass. To this end, the discrete equations of motion are developed based on Lagrange's equations via reproducing kernel particle method (RKPM). For a particular case of a simply supported beam, Galerkin method is also employed to verify the results obtained by RKPM, and a reasonably good agreement is achieved. Variations of the maximum dynamic deflection and bending moment associated with the linear and nonlinear beam theories are investigated in terms of moving mass weight and velocity for various beam boundary conditions. It is demonstrated that for majority of the moving mass velocities, the differences between the results of linear and nonlinear analyses become remarkable as the moving mass weight increases, particularly for high levels of moving mass velocity. Except for the cantilever beam, the nonlinear beam theory predicts higher possibility of moving mass separation from the base beam compared to the linear one. Furthermore, the accuracy levels of the linear beam theory are determined for thin beams under large deflections and small rotations as a function of moving mass weight and velocity in various boundary conditions. 展开更多
关键词 Nonlinear beam theory Moving mass-beam in- teraction Euler-Bernoulli beam theory - Reproducing kernel particle method (RKPM) Galerkin method (GM)
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Numerical prediction of flow hydrodynamics of wet molecular sieve particles in a liquid-fluidized bed
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作者 Guodong Liu Peng Wang +4 位作者 Huilin Lu Fan Yu Yanan Zhang Shuai Wang Liyan Sun 《Particuology》 SCIE EI CAS CSCD 2016年第2期42-50,共9页
The Eulerian-Eulerian framework was used in the numerical simulation of liquid hydrodynamics and particle motion in liquid-fluidized beds. The kinetic theory of granular flow, which accounts for the viscous drag influ... The Eulerian-Eulerian framework was used in the numerical simulation of liquid hydrodynamics and particle motion in liquid-fluidized beds. The kinetic theory of granular flow, which accounts for the viscous drag influence on the interstitial liquid phase, was used in combination with two-fluid models to simulate unsteady liquid-solid two-phase flows. We focus on local unsteady features predicted by the numerical models. The solid fraction power spectrum was analyzed. A typical flow pattern, such as core annular flow and particle back-mixing near the wall region of liquid-solid fluidized beds is obtained from this calculation. Effects of the restitution coefficient of particle-particle collisions on the distribution of granular pressure and temperature are discussed. Good agreement was achieved between the simulated results and experimental findings. 展开更多
关键词 Liquid-solid fluidized bed Wet particle collision Kinetic theory of granular flow Restitution coefficient
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Experimental and numerical study of pseudo-2D circulating fluidized beds 被引量:2
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作者 Adam Klimanek Wojciech Adamczyk +2 位作者 Sirpa Kallio Pawet Kozolub Gabriel Wecel 《Particuology》 SCIE EI CAS CSCD 2016年第6期48-59,共12页
We present experimental investigations and numerical simulations of a pseudo-2D riser. Experiments were performed for various airflow rates, particle types/diameters, and particle size distributions. Pres- sure distri... We present experimental investigations and numerical simulations of a pseudo-2D riser. Experiments were performed for various airflow rates, particle types/diameters, and particle size distributions. Pres- sure distributions along the wall of the riser were measured, Additional measurements from a smaller pseudo-2D riser (Kallio et al., 2009; Shah et al., 2012) were used to analyze horizontal solids volume fraction profiles. The experimental data were compared with simulation results carried out using an Euler-Euler approach, A mesh sensitivity study was conducted for numerical simulations and effects associated with simplifying real 3D geometry to a 2D model were examined. In addition, the effect of using an algebraic equation to represent the granular temperature versus a full partial differential equation also was examined for numerical simulations. Results showed small but significant near-wall sensitivity of the flow variables to mesh size. Substantial differences in mean pressure, solids distribution, and solid velocities were obtained, when 2D and 3D simulation results were compared. Finally, applying the simplified granular temperature equation for turbulent fluidization and for dilute-phase transport can lead to incorrect predictions in models, 展开更多
关键词 Circulating fluidized bed Euler-Euler approachGas-solid flow Kinetic theory of granular flow particle size distribution 2D vs 3D
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