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Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

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Numerical Mathematics(Theory,Methods and Applications) 2023年第2期16卷 511-540页

作者： cui-cui Ji Weizhong Dai School of Mathematics and Statistics Qingdao UniversityQingdao 266071China Mathematics and Statistics Louisiana Tech UniversityRustonLA 71272USA

Nanoscale heat transfer cannot be described by the classical Fourier law due to the very small dimension,and therefore,analyzing heat transfer in nanoscale is of crucial importance for the design and operation of nano-devices and the optimization of thermal processing of ***,time-fractional dualphase-lagging(DPL)equations with temperature jump boundary conditions have showed promising for analyzing the heat conduction in *** article proposes a numerical algorithm with high spatial accuracy for solving the timefractional dual-phase-lagging nano-heat conduction equation with temperature jump boundary *** this end,we first develop a fourth-order accurate and unconditionally stable compact finite difference scheme for solving this time-fractional DPL *** then present a fast numerical solver based on the divide-and-conquer strategy for the obtained finite difference scheme in order to reduce the huge computational work and ***,the algorithm is tested by two examples to verify the accuracy of the scheme and computational *** we apply the numerical algorithm for predicting the temperature rise in a nano-scale silicon thin *** results confirm that the present difference scheme provides min{2−α,2−β}order accuracy in time and fourth-order accuracy in space,which coincides with the theoretical *** indicate that the mentioned time-fractional DPL model could be a tool for investigating the thermal analysis in a simple nanoscale semiconductor silicon device by choosing the suitable fractional order of Caputo derivative and the parameters in the model.

关键词： Nanoscale heat transfer fractional dual-phase-lagging model finite difference scheme stability convergence

Synthesis, Structures and Properties of C(sp^2)‐Centered Homo‐ and Hetero‐Nuclear Gold Complexes

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Chinese Journal of Chemistry 2019年第3期37卷 276-291页

作者： cui-cui Li Liang Zhao Key Laboratory of Bioorganic Phosphorus Chemistry&Chemical Biology Department of ChemistryTsinghua UniversityBeijing 100084China School of Chemistry and Chemical Engineering Beijing Institute of Technology Peking University

C(sp^2)‐centered homo‐ and hetero‐nuclear gold complexes have attracted widespread interests in recent decades. Studies of this type of complexes may deepen the understandings of the intermediates in Au‐catalyzed organic reactions and explore new applications in catalytic and material science. The focuses of this review include the synthesis, structural characteristics, properties and applications of C(sp^2)‐centered homo‐ and hetero‐nuclear gold complexes according to different structural classifications.

关键词： Homo homo

Analysis of a Free Boundary Problem Modeling Tumor Growth

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Acta Mathematica Sinica,English Series 2005年第5期21卷 1071-1082页

作者： Shang Bin cui (Shangbin cui) Institute of Mathematics Sun Yat-Sen University Guangzhou 510275 P. R. China

In this paper, we study a free boundary problem arising from the modeling of tumor growth. The problem comprises two unknown functions： R = R（t）, the radius of the tumor, and u = u（r, t）, the concentration of nutrient in the tumor. The function u satisfies a nonlinear reaction diffusion equation in the region 0 〈 r 〈 R（t）, t 〉 0, and the function R satisfies a nonlinear integrodifferential equation containing u. Under some general conditions, we establish global existence of transient solutions, unique existence of a stationary solution, and convergence of transient solutions toward the stationary solution as t →∞.

关键词： Free boundary problem Tumor growth Global solution Asymptotic behavior

Photocatalytic degradation of MO by complex nanometer particles WO_3/TiO_2

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Rare Metals 2006年第6期25卷 649-653页

作者： cui Yumin Department of Chemistry Fuyang Normal College Fuyang 236041 China

Complex nanometer particles WO3/TiO2 were prepared using a sol-gel process and characterized using XRD spectra. The photocatalytic activity of TiO2 can be increased by doping W^6＋ with TiO2 because the doped W^6＋ that entered into the crystal lattices of TiO2 led to the formation of defects in the crystal lattices of TiO2 and thereby improved the photocatalytic activity of *** WO3 doped in TiO2 exceeded 3%, the excess W^6＋ did not enter into the crystal lattices of TiO2 but were uniformly dispersed in TiO2 or they covered the surface of TiO2, which reduced the effective illumination area of TiO2 and thereby lowered the photocatalytic activity of *** relationship among the composition of the catalyst, the amount of photocatalyst, the illumination time, and the decolorizing rate of methyl orange （MO） were discussed. The results show that the decolorizing rate of MO can reach 82.3% using WO3/TiO2 as the photocatalyst, with the composition of WO3/TiO2 -3：97, the mass of catalyst = 0.400 g, the initial concentration of MO = 20 mg/L, pH = 6.5, and the illumina- tion time = 7 h.

关键词： physical chemistry photocatalytic degradation methyl orange photocatalytic method titanium dioxide tung sten trioxide

Diffusion process in enzyme-metal hybrid catalysts

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Frontiers of Chemical Science and Engineering 2022年第6期16卷 921-929页

作者： Shitong cui Jun Ge Key Lab for Industrial Biocatalysis Ministry of EducationDepartment of Chemical EngineeringTsinghua UniversityBeijing 100084China Institute of Biopharmaceutical and Health Engineering Tsinghua Shenzhen International Graduate SchoolShenzhen 518055China

Enzyme-metal hybrid catalysts bridge the gap between enzymatic and heterogeneous catalysis,which is significant for expanding biocatalysis to a broader *** studies have demonstrated that the enzyme-metal hybrid catalysts exhibited considerably higher catalytic efficiency in cascade reactions,compared with that of the combination of separated enzyme and metal ***,the precise mechanism of this phenomenon remains ***,we investigated the diffusion process in enzyme-metal hybrid catalysts using Pd/lipase-Pluronic conjugates and the combination of immobilized lipase(Novozyme 435)and Pd/C as *** reference to experimental data in previous studies,the Weisz-Prater parameter and efficiency factor of internal diffusion were calculated to evaluate the internal diffusion limitations in these ***,a kinetic model was developed and fitted to describe the proximity effect in hybrid *** indicated that the enhanced catalytic efficiency of hybrid catalysts may arise from the decreased internal diffusion limitation,size effect of Pd clusters and proximity of the enzyme and metal active sites,which provides a theoretical foundation for the rational design of enzyme-metal hybrid catalysts.

关键词： enzyme-metal hybrid catalyst internal diffusion proximity effect kinetic model

A review on numerical studies of airflow dynamics and particle deposition in human respiratory system Author links open overlay panel

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Particuology 2024年第8期91卷 351-377页

作者： Hao Jing Xinguang cui School of Aerospace Engineering Huazhong University of Science and TechnologyWuhan430074China

Accurate assessment and prediction of airflow dynamics and particle deposition in the human respiratory tract are essential for human health,involving inhaled drugs for treating various diseases and toxic particles that can cause *** intricate process involves complex multiphase flow with distinct respiratory *** fluid dynamics(CFD)acts as a bridge,overcoming the limitations of in vivo and in vitro experiments and providing a means to fully comprehend and reveal the fundamental mechanisms of respiratory flow and particle behavior on a microscopic *** paper provides a comprehensive overview and concise summary of recent advancements in the numerical simulation of airflow and particle deposition in the human respiratory ***,it summarizes the transition of respiratory tract models from segmented models to emerging physiological characteristic models and whole-lung airway models,and the latest developments on the effects of key factors such as geometric variations,respiratory patterns,and particle physical/chemical properties on respiratory flow and particle deposition.A notable focus of this review is on emerging physiological characteristics models and their associated complex airflow and particle dynamics inside *** paper concludes with recommendations for future research to further advance the development of this field.

关键词： Airflow dynamics Particle deposition Human respiratory system Numerical modeling

Propagation of combined longitudinal and torsional stress waves in a functionally graded thin-walled tube

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Applied Mathematics and Mechanics(English Edition) 2021年第12期42卷 1717-1732页

作者： Shitang cui Xiaojun NI CAS Key Laboratory of Mechanical Behavior and Design of Materials Department of Modern MechanicsUniversity of Science and Technology of ChinaHefei 230027China Institute of Plasma Physics Chinese Academy of SciencesHefei 230031China

An analytical model for the propagation of combined stress waves in a functionally graded thin-walled tube subjected to combined longitudinal and torsional impact loading is *** material properties of the tube are assumed to be continuously graded along the length according to a power law function with respect to the volume fractions of the *** generalized characteristic theory is used to analyze the main features of the characteristic wave speeds and simple wave solutions in the functionally graded thin-walled *** finite difference method is used to discretize the governing *** types of typical solutions are obtained for the functionally graded tube and the homogeneous tube subjected to combined longitudinal and torsional step *** numerical results reveal some abnormal phenomena in the stress path and wave process of the functionally graded thin-walled tube.

关键词： elastoplastic behavior combined stress wave finite difference scheme thinwalled tube

Experimental investigation of evolutive mode-I and mode-II fracture behavior of fiber-reinforced cemented paste backfill:Effect of curing temperature and curing time

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Frontiers of Structural and Civil Engineering 2023年第2期17卷 256-270页

作者： Kun FANG Liang cui School of Mines China University of Mining&TechnologyXuzhou 221116China Department of Civil Engineering Lakehead UniversityOntario P7B 5E1Canada

The curing temperature-dependent cement hydration causes the nonlinear evolution of fracture behavior and properties of fiber-reinforced cemented paste backfill(CPB)and thus influences the stability of mine backfill materials in deep ***,the coupled effect of curing temperature(20,35,and 45℃)and cement hydration at different curing times(3,7,and 28 d)on the mode-I and mode-II fracture behavior and properties of fiber-reinforced CPB is investigated.A comprehensive experimental testing program consisting of semicircular bend tests,direct shear tests,measurement of volumetric water content and matric suction,TG/DTG tests,and SEM observation is carried *** results show that the coupled thermochemical effect results in strongly nonlinear development of pre-and post-peak behavior of fiber-reinforced ***,the results discover a positive linear correlation between fracture toughness and shear strength parameters and also reveal the vital role played by matric suction in the formation of fracture ***,predictive functions are developed to estimate the coupled thermochemical effect on the development of KIc and ***,the findings and the developed mathematical tools have the potential to promote the successful application of fiber-reinforced CPB technology in deep underground mines.

关键词： fiber reinforcement cemented paste backfill fracture behavior underground mine cement hydration

Building three-dimensional pedestrian networks in cities

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Underground Space 2021年第2期6卷 217-224页

作者： Jianqiang cui School of Environment and Science Griffith UniversityBrisbaneAustralia

With the rapid growth of automobile transport over the last century,conflicts between automobile and pedestrian transport have been viewed as a major concern in urban and transport *** and underground pedestrian networks,which compensate for sidewalks at the street level and provide alternative options for pedestrians,have been developed in many *** and underground pedestrian networks offer pedestrian–car separation in a vertical dimension and efficient connections between transit services and cities for subway *** study aims to provide a balanced understanding of the development of underground pedestrian networks and propose supportive strategies for decision makers,planners,and designers concerned with the future implementation of underground pedestrian networks and the building of three-dimensional pedestrian networks in *** study applied textual analysis to examine the *** study indicated that three-dimensional pedestrian systems were developed based on historical *** highlighted important considerations(such as dense cities,disaster mitigation and protection,and urban functions)in developing underground pedestrian networks in ***,it discussed significant aspects in planning and designing such networks,including safety,ease of orientation,and *** paper also discussed policy implications in developing underground pedestrian networks and the building of three-dimensional pedestrian networks in cities.

关键词： Pedestrian planning Compact city Underground transport