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A simple physical mixing method for MnO2/MnO nanocomposites with superior Zn^2+storage performance 被引量:4
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作者 Xiao-bei ZANG Ling-tong LI +5 位作者 Zhi-xin SUN Rabah BOUKHERROUB Jia-xin MENG Kun-peng CAI Qing-guo SHAO Ning CAO 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2020年第12期3347-3355,共9页
MnO2/MnO cathode material with superior Zn^2+storage performance is prepared through a simple physical mixing method.The MnO2/MnO nanocomposite with a mixed mass ratio of 12:1 exhibits the highest specific capacity(36... MnO2/MnO cathode material with superior Zn^2+storage performance is prepared through a simple physical mixing method.The MnO2/MnO nanocomposite with a mixed mass ratio of 12:1 exhibits the highest specific capacity(364.2 mA·h/g at 0.2C),good cycle performance(170.4 mA·h/g after 100 cycles)and excellent rate performance(205.7 mA·h/g at 2C).Analysis of cyclic voltammetry(CV)data at various scan rates shows that both diffusioncontrolled insertion behavior and surface capacitive behavior contribute to the Zn2+storage performance of MnO2/MnO cathodes.And the capacitive behavior contributes more at high discharge rates,due to the short paths of ion diffusion and the rapid transfer of electrons. 展开更多
关键词 zinc-ion battery MnO2/MnO cathode material physical mixing method reaction kinetics
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A MIXED FINITE ELEMENT AND UPWIND MIXED FINITE ELEMENT MULTI-STEP METHOD FOR THE THREE-DIMENSIONAL POSITIVE SEMI-DEFINITE DARCY-FORCHHEIMER MISCIBLE DISPLACEMENT PROBLEM
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作者 Yirang YUAN Changfeng LI +1 位作者 Huailing SONG Tongjun SUN 《Acta Mathematica Scientia》 2025年第2期715-736,共22页
In this paper,a composite numerical scheme is proposed to solve the threedimensional Darcy-Forchheimer miscible displacement problem with positive semi-definite assumptions.A mixed finite element is used for the fow e... In this paper,a composite numerical scheme is proposed to solve the threedimensional Darcy-Forchheimer miscible displacement problem with positive semi-definite assumptions.A mixed finite element is used for the fow equation.The velocity and pressure are computed simultaneously.The accuracy of velocity is improved one order.The concentration equation is solved by using mixed finite element,multi-step difference and upwind approximation.A multi-step method is used to approximate time derivative for improving the accuracy.The upwind approximation and an expanded mixed finite element are adopted to solve the convection and diffusion,respectively.The composite method could compute the diffusion flux and its gradient.It possibly becomes an eficient tool for solving convection-dominated diffusion problems.Firstly,the conservation of mass holds.Secondly,the multi-step method has high accuracy.Thirdly,the upwind approximation could avoid numerical dispersion.Using numerical analysis of a priori estimates and special techniques of differential equations,we give an error estimates for a positive definite problem.Numerical experiments illustrate its computational efficiency and feasibility of application. 展开更多
关键词 Darcy-Forchheimer fow three-dimensional positive semi-definite problem upwind mixed finite element multi-step method conservation of mass convergence analysis
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Effects of mixing methods of bifunctional catalysts on catalyst stability of DME synthesis via CO_(2)hydrogenation 被引量:3
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作者 Shoujie Ren Shiguang Li +2 位作者 Naomi Klinghoffer Miao Yu Xinhua Liang 《Carbon Resources Conversion》 2019年第1期85-94,共10页
The effects of three different mixing methods of CuO/ZnO/Al_(2)O_(3)(CZA)and HZSM-5 bifunctional catalyst on the stability for dimethyl ether(DME)synthesis from carbon dioxide(CO_(2))hydrogenation were investigated.Wh... The effects of three different mixing methods of CuO/ZnO/Al_(2)O_(3)(CZA)and HZSM-5 bifunctional catalyst on the stability for dimethyl ether(DME)synthesis from carbon dioxide(CO_(2))hydrogenation were investigated.When the bifunctional catalyst was prepared by method A(mixing powder without pelletization),there was no significant change in DME production and catalyst stability when the HZSM-5 loading was varied between 0.1 g and 0.5 g with a fixed CZA loading of 0.5 g,.When the bifunctional catalysts were prepared by method B(pressed into pellets of CZA and pellets of HZSM-5 and then mixed)and method C(mixed CZA and HZSM-5 powders,then pressed into pellets),the mixing methods did not initially impact CO_(2)conversion and had a minor effect on DME yield.However,long-term tests(100 h)indicated that the mixing method had a significant influence on the catalyst stability.Method B showed the best stability and the extent of catalyst deactivation followed the sequence of method B<method A<method C.Characterizations of spent catalysts indicated that method B could reduce the extent of copper(Cu)oxidation,which due to the relatively low surface contact between Cu active sites and HZSM-5.Large amounts of water generated in CO_(2)hydrogenation to synthesize DME and intimate contact between CZA and HZSM-5 catalyst could induce severe oxidation of Cu and metal ions migration from hydrogenation catalyst to HZSM-5,which can result in the number reduction of acidic sites. 展开更多
关键词 Dimethyl ether(DME) CO_(2)hydrogenation Bifunctional catalyst mixing method
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Numerical simulations of compressible mixing layers with a discontinuous Galerkin method 被引量:6
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作者 Xiao-Tian Shi Jun Chen +2 位作者 Wei-Tao Bi Chi-Wang Shu Zhen-Su She 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第3期318-329,共12页
Discontinuous Galerkin(DG) method is known to have several advantages for flow simulations,in particular,in fiexible accuracy management and adaptability to mesh refinement. In the present work,the DG method is deve... Discontinuous Galerkin(DG) method is known to have several advantages for flow simulations,in particular,in fiexible accuracy management and adaptability to mesh refinement. In the present work,the DG method is developed for numerical simulations of both temporally and spatially developing mixing layers. For the temporally developing mixing layer,both the instantaneous fiow field and time evolution of momentum thickness agree very well with the previous results. Shocklets are observed at higher convective Mach numbers and the vortex paring manner is changed for high compressibility. For the spatially developing mixing layer,large-scale coherent structures and self-similar behavior for mean profiles are investigated. The instantaneous fiow field for a three-dimensional compressible mixing layer is also reported,which shows the development of largescale coherent structures in the streamwise direction. All numerical results suggest that the DG method is effective in performing accurate numerical simulations for compressible shear fiows. 展开更多
关键词 Compressible mixing layer - Discontinuous Galerkin method . Self-similarity . Coherent structure
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Research Progress about the Mixing Brine Method to Produce Low- Sodium Carnallite from Saline Lake Brine
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作者 TAN Qi ZENG Ying GUO Shanshan 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2014年第S1期372-372,共1页
Mixing brine method,which founded on the commonion effect,is widely used for low-sodium carnallite production.Compared with traditional carnallite preparation techniques,the mixing brine method possess a
关键词 Lake Research Progress about the mixing Brine method to Produce Low Sodium Carnallite from Saline Lake Brine
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Critical care nurses and their clinical reasoning for customizing monitor alarms:a mixed-method study
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作者 Mohamad Al Nakhal Mirna Fawaz +3 位作者 Karim Khabaz Ahmad Rayan Salam Bani Hani Mohammed ALBashtawy 《Frontiers of Nursing》 2024年第4期457-468,共12页
Objective:To explore the clinical rationale of critical care nurses for personalizing monitor alarms.One of the most crucial jobs assigned to critical care nurses is monitoring patients'physiological indicators an... Objective:To explore the clinical rationale of critical care nurses for personalizing monitor alarms.One of the most crucial jobs assigned to critical care nurses is monitoring patients'physiological indicators and carrying out the necessary associated interventions.Successful use of equipment in the nursing practice environment will be improved by a thorough understanding of the nurse's approach to alarm configuration.Methods:A mixed-method design integrating quantitative and qualitative components was used.The sample of this study recruited a convenience sample of 60 nurses who have worked in critical care areas.This study took place at Lebanese American University Medical Center Rizk Hospital,utilizing a semi-structured interview with participants.Results:The study demonstrated the high incidence of nuisance alarms and the desensitization of critical care nurses to vital ones.According to the nurses,frequent false alarms and a shortage of staff are the 2 main causes of alarm desensitization.Age was significantly associated with the perception of Smart alarms,according to the data(P=0.03).Four interconnected themes and subcategories that reflect the clinical reasoning process for alarm customization were developed as a result of the study's qualitative component:(1)unit alarm environment;(2)nursing style;(3)motivation to customize;and(4)clinical and technological customization.Conclusions:According to this study,nurses believe that alarms are valuable.However,a qualitative analysis of the experiences revealed that customization has been severely limited since the healthcare team depends on nurses to complete these tasks independently.Additionally,a staffing shortage and lack of technical training at the start of placement have also hindered customization. 展开更多
关键词 CUSTOMIZATION critical care unit equipment mixed method monitor alarm MOTIVATION nurse’s perception practice environment
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Solving Navier-Stokes equation by mixed interpolation method 被引量:1
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作者 万水 Mogens Peter Nielsen 《Journal of Southeast University(English Edition)》 EI CAS 2006年第1期93-95,共3页
The operator splitting method is used to deal with the Navier-Stokes equation, in which the physical process described by the equation is decomposed into two processes: a diffusion process and a convection process; a... The operator splitting method is used to deal with the Navier-Stokes equation, in which the physical process described by the equation is decomposed into two processes: a diffusion process and a convection process; and the finite element equation is established. The velocity field in the element is described by the shape function of the isoparametric element with nine nodes and the pressure field is described by the interpolation function of the four nodes at the vertex of the isoparametric element with nine nodes. The subroutine of the element and the integrated finite element code are generated by the Finite Element Program Generator (FEPG) successfully. The numerical simulation about the incompressible viscous liquid flowing over a cylinder is carded out. The solution agrees with the experimental results very well. 展开更多
关键词 Navier-Stokes equation finite element method incompressible viscous flow mixed interpolation method
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Artificial Intelligence as Co-Creator:Redefining Creative Identity in Design Education
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作者 Meiling Jiang 《Journal of Contemporary Educational Research》 2025年第6期235-242,共8页
This study examines how generative artificial intelligence(AI)reshapes creative identity in design education.Drawing on post-humanist and network-based theories,it frames AI as a cognitive collaborator in ideation and... This study examines how generative artificial intelligence(AI)reshapes creative identity in design education.Drawing on post-humanist and network-based theories,it frames AI as a cognitive collaborator in ideation and authorship.Mixed-methods data reveal student anxiety and stylistic confusion,contrasted with designers’adaptive strategies.The AI–Cognition–Identity framework supports curricula that promote reflective,ethical,and epistemically informed AI-integrated pedagogy. 展开更多
关键词 Generative AI Design education Creative identity Authorship Post-humanism Actor-Network Theory Aesthetic judgment Ethical reasoning Mixed methods PEDAGOGY
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Nutritional Literacy for Individual Oral Health Among Village Health Volunteers in Public Health Region 1 of Thailand
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作者 Chollada Sorasak Worayuth Nak-Ai +1 位作者 Choosak Yuennan Mansuang Wongsapai 《Health Care Science》 2025年第1期25-34,共10页
Background:Oral health issues persistently affect the overall health and well-being of rural populations.Village health volunteers(VHVs)play a crucial role in advancing oral health literacy in their community.This stu... Background:Oral health issues persistently affect the overall health and well-being of rural populations.Village health volunteers(VHVs)play a crucial role in advancing oral health literacy in their community.This study aimed to examine the factors related to nutritional literacy for oral health among VHVs.Methods:This was a mixed-methods study employing an explanatory sequential design.The quantitative data were gathered through questionnaires distributed to a cohort of 10,514 VHVs registered in Health Region 1.A stratified random sampling technique was used to ensure adequate representation of various subgroups within the VHV population,considering factors such as age,education level,and geographical distribution across the region.This approach allowed for a more representative sample that accurately reflects the diversity of the VHV population.Qualitative data were obtained through semi-structured interviews with a purposive sampling of 20 participants based on specific criteria.Quantitative data were analyzed using descriptive statistics and biserial correlation techniques,while qualitative data were analyzed using content analysis.Results:The study found that the sample group possessed a moderate level of knowledge of health literacy principles and nutrition for oral health.However,their self-assessed skills in nutritional literacy for oral health were rated as high.A statistically significant negative correlation was found between knowledge of nutrition for oral health and skills in nutritional literacy for oral health.VHVs equated health literacy with knowledge because their public health training had focused more on imparting knowledge rather than developing skills based on health literacy principles.Conclusion:There is a need to emphasize skill-based health literacy training and to use effective skill development techniques that are tailored to the specific roles and responsibilities of health volunteers.It is also recommended to continuously monitor and evaluate the outcomes of these efforts. 展开更多
关键词 health literacy health region 1 individual oral health mixed method nutrition nutritional literacy oral health oral health literacy village health volunteers
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Effects of the 9/11 Terrorist Attacks on Family Narratives and Family Systems
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作者 Cesar E.Montelongo Hernandez Carol S.North +1 位作者 E.Whitney Pollio David E.Pollio 《International Journal of Mental Health Promotion》 2025年第6期737-752,共16页
Background:Disaster mental health outcomes of individuals may be affected by the families they inhabit,with effects rippling through the entire family system.Existing research on the experience of children in disaster... Background:Disaster mental health outcomes of individuals may be affected by the families they inhabit,with effects rippling through the entire family system.Existing research on the experience of children in disasters has typically been limited to examining single individuals or,at most,family dyads.Research is needed to explore interactions within families as a whole,including interactions among multiple family members,as well as with community entities in a broad systems approach with dynamic analysis of family systems over time.The purpose of this study was to combine quantitative and qualitative data using structured diagnostic interviews and accompanying open-ended narratives of family members(spouses and children)of survivors of the 9/11 attacks.Methods:This study examined 60 members in 25 families of employees affected by the 9/11 attacks on New York City’s World Trade Center,using a mixed methods approach,collecting quantitative data using full assessments of psychiatric disorders and qualitative data from detailed personal disaster narratives.The employees were a highly 9/11 trauma-exposed group,with about one-fourth developing posttraumatic stress disorder(PTSD).The employees’exposures and PTSD did not regularly appear to propagate straightforwardly to psychopathology in their spouses or children.Based on the impact of disaster experience,4 illustrative families were selected for narrative and family systems analyses.Results:Qualitative analysis of their narratives suggested distinct family system patterns or archetypes that may reflect different ways that families cope with disaster.Conclusion:Findings suggest that family systems and family dynamics may influence not only disaster trauma-exposed members but also other family members in supporting one another and coping with the disaster,with interactions with outside community influences adding further complexity.This information may help guide disaster response efforts to provide psychosocial support targeted to specific family patterns. 展开更多
关键词 Disaster trauma family systems mixed methods posttraumatic stress disorder PSYCHOPATHOLOGY
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Workplace English Language Needs for Medical Students in China Learning and Using English as Non-Native Speakers
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作者 Haiying Liang Michael Reiss Talia Isaacs 《Chinese Journal of Applied Linguistics》 2025年第1期114-135,156,共23页
This mixed-methods study presents a needs analysis to investigate the workplace English language needs of medical students in China who are learning and using English as non-native speakers,the circumstances in which ... This mixed-methods study presents a needs analysis to investigate the workplace English language needs of medical students in China who are learning and using English as non-native speakers,the circumstances in which the various language skills are required,and stakeholders’perceived workplace preparedness in the light of language-related instructional provision during medical training.A leading university in China was chosen as the study case.Altogether,294 online questionnaires were collected from undergraduate medical students,graduate medical students and recent graduates working as physicians,and 33 semi-structured individual interviews were conducted with undergraduate medical students,graduate medical students,recent graduates working as physicians,medical teachers,English for Medical Purposes(EMP)teachers,program leaders and English-speaking patients.Results showed that in addition to physicians experiencing pressure to publish scientific articles internationally,participants attached greater importance to physicians’oral English communication ability,especially in undertaking clinical consultations in English,working with medical interpreters or acting as ad hoc interpreters.The participants also reported a lack of relevant EMP courses or trainings available at this university.Given these communicative events that physicians face in China,EMP courses need to include training in these specific areas. 展开更多
关键词 English for medical purposes health communication language for specific purposes medical education mixed methods needs analysis second language
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Conservation Laws and Particular Solutions for a Keller-Segel Model
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作者 Luyun Chen Jie Lou 《Advances in Pure Mathematics》 2025年第2期107-118,共12页
This work focuses on a Keller-Segel chemotaxis model, with an emphasis on its conservation laws. Through a new approach combined with the multiplier method, called the mixed method, we obtain conservation vectors that... This work focuses on a Keller-Segel chemotaxis model, with an emphasis on its conservation laws. Through a new approach combined with the multiplier method, called the mixed method, we obtain conservation vectors that are related and unrelated to symmetric information. In addition, some exact solutions with particular forms are obtained according to the method of conservation laws. These particular solutions are different from the group-invariant solutions. 展开更多
关键词 Keller-Segel Model Conservation Laws Mixed method Exact Solutions
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Influence of dysprosium substitution on magnetic and mechanical properties of high intrinsic coercivity Nd-Fe-B magnets prepared by double-alloy powder mixed method 被引量:11
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作者 胡志华 瞿海锦 +2 位作者 马冬威 罗成 王会杰 《Journal of Rare Earths》 SCIE EI CAS CSCD 2016年第7期689-694,共6页
The double-alloy powder mixed method is very proper for developing new small-mass products by changing the composi- tion of sintered Nd-Fe-B magnets, and there is little research on this aspect. The variation on magne... The double-alloy powder mixed method is very proper for developing new small-mass products by changing the composi- tion of sintered Nd-Fe-B magnets, and there is little research on this aspect. The variation on magnetic and mechanical properties of high intrinsic coercivity Nd-Fe-B magnets prepared by double-alloy powder mixed method was discussed, which is a method blend- ing two-type main phase alloy powders with different components. The results showed that the intrinsic coercivity and density of sin- tered Nd-Fe-B magnets increased gradually with the increase in Dy content, and the double-alloy powder mixed method could obtain high intrinsic coercivity Nd-Fe-B magnets with good crystallographic alignment and microstructure. The bending strength of sintered Nd-Fe-B magnets declined, and the Rockwell hardness of sintered Nd-Fe-B magnets first declined, and then increased with the in- crease in Dy content. The microstructure showed that there existed the phenomenon that the Dy element diffused into main phase dur- ing sintering process, and the distribution of Dy content in main phase had some variation in homogeneity as a result of incomplete reaction between the double-alloy powder types. 展开更多
关键词 Nd-Fe-B magnets intrinsic coercivity magnetic properties mechanical properties double-alloy powder mixed method rare earths
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Synthesis and luminescent properties of Ce^(3+) doped LuAG nano-sized powders by mixed solvo-thermal method 被引量:12
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作者 王林香 尹民 +1 位作者 郭常新 张慰萍 《Journal of Rare Earths》 SCIE EI CAS CSCD 2010年第1期-,共6页
Polycrystalline LuAG:Ce3+(cerium3+-doped lutetium aluminum garnet) powders were prepared by mixed solvo-thermal method.Fourier-transform IR spectroscopy(FTIR) and X-ray diffraction(XRD) measurements showed that the pr... Polycrystalline LuAG:Ce3+(cerium3+-doped lutetium aluminum garnet) powders were prepared by mixed solvo-thermal method.Fourier-transform IR spectroscopy(FTIR) and X-ray diffraction(XRD) measurements showed that the precursors were ethanol derivatives AlO(OH) crystal with hydroxyl and carbonate group.XRD results showed that phase of Lu2O3 disappeared with the precursors were annealed at 400 °C,cubic phase LuAG:Ce3+ appeared but only one diffraction peaks of LuAP(LuAlO3) at calcination temperature to 700 °C,a... 展开更多
关键词 LuAG:Ce3+ phosphors HYDROTHERMAL mixed solvo-thermal method photoluminescence rare earths
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Error estimates of H^1-Galerkin mixed finite element method for Schrdinger equation 被引量:28
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作者 LIU Yang LI Hong WANG Jin-feng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第1期83-89,共7页
An H^1-Galerkin mixed finite element method is discussed for a class of second order SchrSdinger equation. Optimal error estimates of semidiscrete schemes are derived for problems in one space dimension. At the same t... An H^1-Galerkin mixed finite element method is discussed for a class of second order SchrSdinger equation. Optimal error estimates of semidiscrete schemes are derived for problems in one space dimension. At the same time, optimal error estimates are derived for fully discrete schemes. And it is showed that the H1-Galerkin mixed finite element approximations have the same rate of convergence as in the classical mixed finite element methods without requiring the LBB consistency condition. 展开更多
关键词 H1-Galerkin mixed finite element method Schrdinger equation LBB condition optimal error estimates
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Effects of rotational speed and fill level on particle mixing in a stirred tank with different impellers 被引量:9
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作者 Yuyun Bao Yu Lu +1 位作者 Ziqi Cai Zhengming Gao 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第6期1383-1391,共9页
The particle mixing was studied in a cylindrical stirred tank with elliptical dished bottom by experiments and simulations.The impeller types used were double helical ribbon(HR) + bottom HR,pitched blade ribbon + bott... The particle mixing was studied in a cylindrical stirred tank with elliptical dished bottom by experiments and simulations.The impeller types used were double helical ribbon(HR) + bottom HR,pitched blade ribbon + bottom HR,inner and outer HR + bottom HR,and pitched blade ribbon + Pfaudler + bottom HR labeled as impellers Ⅰ to Ⅳ,respectively.The quantitative correlations among the rotational speed,fill level and power consumption for impeller Ⅰ and impeller Ⅱ were obtained by experiments to validate the discrete element method(DEM) simulations.The particle mixing at different operating conditions was simulated via DEM simulations to calculate the mixing index using the Lacey method,which is a statistical method to provide a mathematical understanding of the mixing state in a binary mixture.The simulation results reveal that as the rotational speed increases,the final mixing index increases,and as the fill level increases,the final mixing index decreases.At the same operating conditions,impeller Ⅲ is the optimal combination,which provides the highest mixing index at the same revolutions. 展开更多
关键词 Particle mixing Discrete element method(DEM) Rotational speed Fill level Lacey index
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Numerical solutions to regularized long wave equation based on mixed covolume method 被引量:3
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作者 方志朝 李宏 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第7期907-920,共14页
The mixed covolume method for the regularized long wave equation is devel- oped and studied. By introducing a transfer operator γh, which maps the trial function space into the test function space, and combining the ... The mixed covolume method for the regularized long wave equation is devel- oped and studied. By introducing a transfer operator γh, which maps the trial function space into the test function space, and combining the mixed finite element with the finite volume method, the nonlinear and linear Euler fully discrete mixed covolume schemes are constructed, and the existence and uniqueness of the solutions are proved. The optimal error estimates for these schemes are obtained. Finally, a numerical example is provided to examine the efficiency of the proposed schemes. 展开更多
关键词 regularized long wave equation mixed covolume method fully discrete optimal error estimate
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Stabilization for Equal-Order Polygonal Finite Element Method for High Fluid Velocity and Pressure Gradient 被引量:2
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作者 T.Vu-Huu C.Le-Thanh +1 位作者 H.Nguyen-Xuan M.Abdel-Wahab 《Computers, Materials & Continua》 SCIE EI 2020年第3期1109-1123,共15页
This paper presents an adapted stabilisation method for the equal-order mixed scheme of finite elements on convex polygonal meshes to analyse the high velocity and pressure gradient of incompressible fluid flows that ... This paper presents an adapted stabilisation method for the equal-order mixed scheme of finite elements on convex polygonal meshes to analyse the high velocity and pressure gradient of incompressible fluid flows that are governed by Stokes equations system.This technique is constructed by a local pressure projection which is extremely simple,yet effective,to eliminate the poor or even non-convergence as well as the instability of equal-order mixed polygonal technique.In this research,some numerical examples of incompressible Stokes fluid flow that is coded and programmed by MATLAB will be presented to examine the effectiveness of the proposed stabilised method. 展开更多
关键词 Polygonal finite element method fluid computation stokes equation mixed method local projection
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An H^1-Galerkin Expanded Mixed Element Method for Semi-linear Hyperbolic Wave Equation 被引量:2
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作者 WANG Jin-feng LIU Yang +1 位作者 LI Hong HE Siriguleng 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第1期60-68,共9页
An H1-Galerkin expanded mixed finite element method is discussed for a class of second order semi-linear hyperbolic wave equations. By using the mixed formulation, we can get the optimal approximation for three variab... An H1-Galerkin expanded mixed finite element method is discussed for a class of second order semi-linear hyperbolic wave equations. By using the mixed formulation, we can get the optimal approximation for three variables: the scalar unknown, its gradient and its flux(coefficient times the gradient), simultaneously. We also prove the existence and uniqueness of semi-discrete solution. Finally, we obtain some numerical results to illustrate the efficiency of the method. 展开更多
关键词 hyperbolic wave equations SEMI-LINEAR H1-Galerkin expanded mixed method existence and uniqueness error estimates
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NEGATIVE NORM LEAST-SQUARES METHODS FOR THE INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS 被引量:2
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作者 高少芹 段火元 《Acta Mathematica Scientia》 SCIE CSCD 2008年第3期675-684,共10页
The purpose of this article is to develop and analyze least-squares approximations for the incompressible magnetohydrodynamic equations. The major advantage of the least-squares finite element method is that it is not... The purpose of this article is to develop and analyze least-squares approximations for the incompressible magnetohydrodynamic equations. The major advantage of the least-squares finite element method is that it is not subjected to the so-called Ladyzhenskaya-Babuska-Brezzi (LBB) condition. The authors employ least-squares functionals which involve a discrete inner product which is related to the inner product in H^-1(Ω). 展开更多
关键词 The incompressible MHDs equation negative norm VORTICITY least-squares mixed finite element method
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