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A New Method to Solve the Spheroidal Wave Equations

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Chinese Physics Letters 2010年第3期27卷 40-43页

作者：田贵花 School of Science Beijing University of Posts and Telecommunications Beijing 100876

The perturbation method in supersymmetric quantum mechanics is used to study the spheroidal wave functions＇ eigenvalue problem. The super-potential are solved in series of the parameter α, and the general form of all its terms is obtained. This means that the spheroidal problem is solved completely in the way for the ground eigen-value problem. The shape invariance property is proved retained for the super-potential and subsequently all the excited eigen-value problem could be solved. The results show that the spheroidal wave equations are integrable.

关键词： Mathematical physics Quantum information and quantum mechanics

Weak Signal Frequency Detection Based on a Fractional-Order Bistable System

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Chinese Physics Letters 2012年第6期29卷 13-16页

作者： HE gui-tian LUO Mao-Kang Department of Mathematics Sichuan UniversityChengdu 610064

We apply spectral power amplification to quantifying and investigating the phenomenon of stochastic resonance in fractional-order ***,the frequency of the weak mixed signal is detected by a stochastic resonance mechanism together with a power *** corresponding numerical results demonstrate the effectiveness of the proposed methods.

关键词： spectrum methods stochastic

Surface properties of superfine alumina trihydrate after surface modification with stearic acid

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International Journal of Minerals,Metallurgy and Materials 2015年第5期22卷 537-542页

作者： gui-hua Liu Bo-hao Zhou Yun-feng Li tian-gui Qi Xiao-bin Li School of Metallurgy and Environment Central South University

The surface properties of superfine alumina trihydrate （ATH） after surface modification were studied by measuring the contact angle, active ratio, oil adsorption, total organic carbon, adsorption ratio, and Fourier transform infrared （FTIR） spectrum. The contact angle increased initially and then slowly decreased with an increase of the amount of stearic acid. However, the surface flee energy decreased ini- tially and then increased. Surface modification with stearic acid or sodium stearate can benefit from elevating temperature. The base surface tension component and the free energy of Lewis acid-base both declined sharply following the surface modification. Excess stearic acid was physically adsorbed in the form of multilayer adsorption, and an interaction between oxygen on the ATH surface and hydroxyl in stearic acid was subsequently determined. Our results further indicated that the contact angle and adsorption ratio can be used as control indicators for surface modification compared with active ratio, oil adsorption and total organic carbon.

关键词： alumina trihydrate surface modification stearic acid surface flee energy surface tension contact angle

PERTURBATION THEORY FOR NONLINEAR KLEIN-GORDON EQUATION

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Applied Mathematics and Mechanics(English Edition) 2002年第8期23卷 987-992页

作者： LIU tian-gui(刘天贵) YAN Jia-ren(颜家壬) Department of Physics Hunan Normal University Changsha 410081 P R China Department of Physics Hunan Normal University Changsha 410081 P R China

The effects of perturbations on a nonlinear Klein-Gordon the soliton to the first-order approximation are obtained, namely, the soliton parameters changing slowly with time, and the concrete expression of the first-or... 详细信息

关键词： soliton perturbation soliton parameter nonlinear Klein-Gordon soliton

Effects of ion-exchange on the pervaporation performance and microstructure of NaY zeolite membrane

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Chinese Journal of Chemical Engineering 2023年第7期59卷 176-181页

作者： Meihua Zhu Xingguo An tian gui Ting Wu Yuqin Li Xiangshu Chen State-Province Joint Engineering Laboratory of Zeolite Membrane Materials Institute of Advanced MaterialsCollege of Chemistry and Chemical EngineeringJiangxi Normal UniversityNanchang 330022China

Pervaporation performance of NaY zeolite membranes is improved by ion-exchange with di-valent nitrate *** nitrate salts,including Co(NO_(3))_(2),Mg(NO_(3))_(2),Zn(NO_(3))_(2),Ca(NO_(3))_(2),Cu(NO_(3))_(2),KNO_(3),and AgNO_(3),have great effects on the channel structure and water affinity of the NaY zeolite *** the concentration of nitrate salt,ion-exchange temperature and time are 0.1 mol·L^(-1),50℃and 2 h,the ion-exchange degree order of NaY zeolites is Ag^(+)>K^(+)>Ca^(2+)>Zn^(2+)>>Co^(2+)>Mg^(2+).Especially,Ag^(+)and K^(+)cation exchange degree of NaY zeolites are achieved to 96.54% and 82.77% in this *** surface,total pore capacity,pore size distribution and water contact angle of the ion-exchanged NaY zeolites are all disordered by mono-and di-valent ***-valent nitrate salt is favor for increasing the dehydration performance of NaY zeolite membranes by *** the ion-exchange solution is Zn(NO_(3))_(2),the total flux variation and separation factor variation of the NaY membrane(M-5)are -45% and 230% for separation of 10%(mass)H_(2)O/EtOH mixture by pervaporation,and the ion-exchanged membranes showed good reproducibility.

关键词： NaY zeolite membrane Ion-exchange Pervaporation

Precipitation of spherical boehmite from concentrated sodium aluminate solution by adding gibbsite as seed

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International Journal of Minerals,Metallurgy and Materials 2017年第8期24卷 954-963页

作者： gui-hua Liu Zheng Li Xiao-bin Li tian-gui Qi Zhi-hong Peng Qiu-sheng Zhou School of Metallurgy and Environment Central South University

The precipitation of spherical boehmite was studied by surface energy calculations, measurements of precipitation ratios, Fourier transform infrared spectroscopy, X-ray diffraction, scanning electron microscopy, and transmission electron microscopy. The surface energy calculation results show that the(001) and(112) planes of gibbsite surfaces are remarkably stable because of their low surface energies. In addition, the(010) plane of boehmite grows preferentially during precipitation because of its low surface energy. Thus, we propose a method to precipitate spherical boehmite from a supersaturated sodium aluminate solution by adding gibbsite as seed in a heterogeneous system. In this method, gibbsite acts as the preliminary seed and saturation modifier. The results show that the fine boehmite first nucleates on the(001) and(112) planes of gibbsite and then grows vertically on the(001) and(112) basal planes of gibbsite via self-assembly, thereby forming spherical boehmite. Simultaneously, gibbsite is dissolved into the aluminate solution to maintain the saturation for the precipitation of boehmite. The precipitation ratio fluctuates(forming an M-shaped curve) because of gibbsite dissolution and boehmite precipitation. The mechanism of boehmite precipitation was further discussed on the basis of the differences in surface energy and solubility between gibbsite and boehmite. This study provides an environmentally friendly and economical method to prepare specific boehmite in a heterogeneous system.

关键词： precipitation sodium aluminate solution morphology boehmite gibbsite surface energy

Preparation and electrochromism of pyrochlore-type tungsten oxide film

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Rare Metals 2018年第7期37卷 604-612页

作者： Qiu-Sheng Zhou Yong-Kun Chen Xiao-Bin Li tian-gui Qi Zhi-Hong Peng gui-Hua Liu School of Metallurgy and Environment Central South University

Pyrochlore-type WO3 powder was synthesized via hydrothermal method using aqueous sodium tungstate solution and oxalic acid as raw materials. The as-prepared powder was made into a soliquoid, from which films were made by dip coating process with indium-tin oxide （ITO）. The obtained films were characterized by thermogravimetric and differential thermal analysis （TG-DTA）, X-ray diffraction （XRD）, scanning electron microscopy （SEM）, transmission electron microscopy （TEM）, cyclic voltammetry （CV）, chronoamperometry （CA） and ultraviolet- visible （UV-Vis） absorption. Results show that the crystal of the pyrochlore-type WO3 powder is perfect. When the calcination temperature rises from room temperature to 500℃, the pyrochlore-type structure first becomes deformed, then it is destroyed and turns into amorphous phase, finally it will completely convert to WO3 with a monoclinic structure. Electrochemical and optical tests demonstrate that the film calcined at 300℃ exhibits the best electrochromic performance and has a coloration efficiency of up to 68.5 cm^2-C^-1 at 884 nm.

关键词： Pyrochlore-type WO3 Sodium tungstatesolution Films Electrochromic properties

Mean Residence Time of CO2 Molecules in Flexible ZIF-8 Cages Explored by Molecular Dynamics Simulations

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Chinese Journal of Chemical Physics 2013年第5期26卷 553-557,I0003页

作者： Zhen Yang Lian Liu tian gui Rong-fei Zhou Xiang-shu Chen College of Chemistry and Chemical Engineering JianExi Inorganic Membrane Materials EngineeringResearch Center Jiangxi Normal University Nanchang 330022 China

The adsorption sites and diffusion mechanism of CO2 molecules in the flexible Zn（MeIM）2 （MeIM=2-methylimidazole）（ZIF-8） have been investigated by grand canonical Monte Carlo and molecular dynamics simulations. A reasonable time correlation function is for the first time constructed to explore the mean residence time of CO2 molecules in the ZIF-8 cages, suggesting that C02 molecules can remain in the same cage for up to several tens of picoseconds. Furthermore, we find that the mean residence time almost linearly increases with the increasing pressure （or loading） at 273 and 298 K.

关键词： Diffusion Adsorption Carbon dioxide Zeolitic imidazolate frameworks Molecular dynamics simulation

Pulse cleaning flow models and numerical computation of candle ceramic filters

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Journal of Environmental Sciences 2002年第2期14卷 210-215页

作者： tian, gui-shan Ma, Zhen-ji Zhang, Xin-yi Xu, Ting-xiang Dept. of Resource and Envrn. Eng. Zibo University Zibo 255091 China

Analytical and numerical computed models are developed for reverse pulse cleaning system of candle ceramic filters. A standard turbulent model is demonstrated suitably to the designing computation of reverse pulse cleaning system from the experimental and one dimensional computational result. The computed results can be used to guide the designing of reverse pulse cleaning system, which is optimum Venturi geometry. From the computed results, the general conclusions and the designing methods are obtained.

关键词： candle ceramic filters reverse pulse cleaning face velocity numerical computed models pressure difference