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酸解羧甲基复合变性淀粉浆料的性能研究 被引量:3
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作者 马祥英 高军 +1 位作者 陈其锋 韦莲妹 《纺织导报》 CAS 北大核心 2014年第6期117-120,共4页
本文将木薯淀粉进行酸解和羧甲基化反应,制得了酸解羧甲基复合变性淀粉,对其进行了红外表征和浆液、浆膜性能的测试,并通过涤棉高支高密织物的上浆对比试验研究其实际浆纱织造效果。试验结果显示:酸解羧甲基复合变性淀粉属于高浓低粘浆... 本文将木薯淀粉进行酸解和羧甲基化反应,制得了酸解羧甲基复合变性淀粉,对其进行了红外表征和浆液、浆膜性能的测试,并通过涤棉高支高密织物的上浆对比试验研究其实际浆纱织造效果。试验结果显示:酸解羧甲基复合变性淀粉属于高浓低粘浆料,粘度热稳定性好,浆膜性能均优于一般变性淀粉,对涤棉粘附性好,浆纱耐磨性、毛羽贴伏性好,织机效率、合格品率高,布品平整柔软,可以作为一种优良的涤棉高支高密织物浆纱材料。 展开更多
关键词 羧甲基复合变性淀粉 高支高密织物 浆纱质量 织机效率
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酸解、酯化及其复合变性淀粉的研究进展 被引量:1
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作者 彭雅丽 吴卫国 潘旭新 《粮油加工》 北大核心 2010年第5期60-63,共4页
随着淀粉工业化生产不断发展,复合变性淀粉已经成为淀粉研究的主要方向。本文通过对酸解淀粉、酯化淀粉以及酸解酯化复合变性淀粉的反应原理、研究近况以及工业应用的阐述分析,进一步探讨酸解酯化复合变性淀粉工业化应用的发展前景和方向。
关键词 淀粉 酯化淀粉 酯化复合变性淀粉
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Temperature-Induced Unfolding Pathway of Staphylococcal Enterotoxin B:Insights from Circular Dichroism and Molecular Dynamics Simulation
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作者 LIU Ji ZHANG Shiyu +1 位作者 ZENG Yu DENG Yi 《食品科学》 EI CAS CSCD 北大核心 2024年第18期55-76,共22页
In this study,circular dichroism(CD)and molecular dynamics(MD)simulation were used to investigate the thermal unfolding pathway of staphylococcal enterotoxin B(SEB)at temperatures of 298–371 and 298–500 K,and the re... In this study,circular dichroism(CD)and molecular dynamics(MD)simulation were used to investigate the thermal unfolding pathway of staphylococcal enterotoxin B(SEB)at temperatures of 298–371 and 298–500 K,and the relationship between the experimental and simulation results were explored.Our computational findings on the secondary structure of SEB showed that at room temperature,the CD spectroscopic results were highly consistent with the MD results.Moreover,under heating conditions,the changing trends of helix,sheet and random coil obtained by CD spectral fitting were highly consistent with those obtained by MD.In order to gain a deeper understanding of the thermal stability mechanism of SEB,the MD trajectories were analyzed in terms of root mean square deviation(RMSD),secondary structure assignment(SSA),radius of gyration(R_(g)),free energy surfaces(FES),solvent-accessible surface area(SASA),hydrogen bonds and salt bridges.The results showed that at low heating temperature,domain Ⅰ without loops(omitting the mobile loop region)mainly relied on hydrophobic interaction to maintain its thermal stability,whereas the thermal stability of domain Ⅱ was mainly controlled by salt bridges and hydrogen bonds.Under high heating temperature conditions,the hydrophobic interactions in domain Ⅰ without loops were destroyed and the secondary structure was almost completely lost,while domain Ⅱ could still rely on salt bridges as molecular staples to barely maintain the stability of the secondary structure.These results help us to understand the thermodynamic and kinetic mechanisms that maintain the thermal stability of SEB at the molecular level,and provide a direction for establishing safer and more effective food sterilization processes. 展开更多
关键词 staphylococcal enterotoxin B circular dichroism molecular dynamics simulations temperature-induced unfolding
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卫生陶瓷泥浆工艺性能的研究 被引量:1
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作者 俞康泰 陆春 《陶瓷》 CAS 2002年第2期15-17,共3页
从粘土—水系统中粘土颗粒的板面结构特点、系统的pH值出发研究了浆料的絮凝和解凝现象 ,并就解凝剂的加入量对系统粘度的影响 ,就浆料的流动性、触变性、注浆速率、脱水性、挺形能力和生坯的干燥性能及颗粒分布作了定量和半定量分析 。
关键词 卫生陶瓷 浆料 粘土颗料 结构 絮凝 流动性 解变性 脱水性 颗粒分布 注浆成形工艺
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PROPERTIES OF BIODEGRADABLE THERMOPLASTIC STARCH 被引量:1
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作者 高建平 王少敏 +1 位作者 王为 于九皋 《Transactions of Tianjin University》 EI CAS 1997年第2期92-96,共5页
Thermoplastic starch is a kind of modified starch produced by mixing starch with additives and processing the mixture in an extruder. The mechanical properties, including tensile strength and elongation at break, biod... Thermoplastic starch is a kind of modified starch produced by mixing starch with additives and processing the mixture in an extruder. The mechanical properties, including tensile strength and elongation at break, biodegradability and rheological properties were studied. Glycerol and urea, to some extent, can both decrease the tensile strength and increase percentage elongation at break, because the former acts as a plasticizer and the latter can break down interactions among starch macromolecules. Thermoplastic starch shows thermoplasticity and its melt behaves as a pseudoplastic liquid at a low shear rate. Its biodegrading extent is slightly higher than that of native starch. The molecular weight of starch displays a decreasing tendency after thermoplastic modification. 展开更多
关键词 thermoplastic starch BIODEGRADABILITY RHEOLOGY mechanical property
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Approximate Generalized Conditional Symmetries for Perturbed Evolution Equations 被引量:3
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作者 ZHANG Shun-Li WANG Yong LOU Sen-Yue 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第6期975-980,共6页
The concept of approximate generalized conditional symmetry (AGCS) for the perturbed evolution equations is introduced, and how to derive approximate conditional invariant solutions to the perturbed equations via th... The concept of approximate generalized conditional symmetry (AGCS) for the perturbed evolution equations is introduced, and how to derive approximate conditional invariant solutions to the perturbed equations via their A GCSs is illustrated with examples. 展开更多
关键词 perturbed evolution equation approximate generalized conditional symmetry approximate con ditional invariant solution
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Surface property variations in flotation performance of calcite particles under different grinding patterns 被引量:6
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作者 XU Peng-yunq LI Jing +4 位作者 HU Cong CHEN Zhou YE Hong-qi YUAN Zhong-quan CAI Wen-ju 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第6期1306-1316,共11页
Based on the working principles of particle bed comminution, particles produced by high-pressure grinding rolls (HPGR) have surface properties different from particles produced by other grinding patterns, which exer... Based on the working principles of particle bed comminution, particles produced by high-pressure grinding rolls (HPGR) have surface properties different from particles produced by other grinding patterns, which exert great influence on mineral flotation. Flotation performances of calcite particles under different grinding patterns involving the use of HPGR, a jaw crusher, a dry ball mill, a wet ball mill, and a wet rod mill were studied using single mineral flotation tests. The surface properties of the particles under different grinding patterns were characterized to determine the flotation performance variation in terms of specific surface area, particle size distribution, AFM, XPS, and zeta potential. The results show that particles ground by HPGR exhibited improved flotation performance within the lower range of grinding fineness in both NaOL and dodecyl amine flotation systems compared to the particles prepared using other grinding patterns. Specific surface area, particle size distribution, surface roughness, Fe(III) contamination, binding energy, and zeta potential are greatly influenced by grinding patterns, which is the main cause of the flotation performance variation. 展开更多
关键词 CALCITE surface property grinding patterns high-pressure grinding rolls flotation performance
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Distribution of Dissolved Inorganic Arsenic and Its Seasonal Variations in the Coastal Area of the East China Sea 被引量:3
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作者 CHENG Yan REN Jingling +2 位作者 LI Dandan LIU Sumei ZHANG Jing 《Journal of Ocean University of China》 SCIE CAS 2006年第3期243-250,共8页
Water samples were collected in the coastal area of the Changjiang Estuary on four cruises from August 2002 to May 2003. The seasonal variations of dissolved inorganic arsenic (DIAs) distributions were analyzed. The... Water samples were collected in the coastal area of the Changjiang Estuary on four cruises from August 2002 to May 2003. The seasonal variations of dissolved inorganic arsenic (DIAs) distributions were analyzed. The results showed that the distributions of DIAs were mainly influenced by Water (KSSW). The concentration of the total dissolved the terrestrial input and the intrusion of the Kuroshio Subsurface inorganic arsenic (TDIAs) decreased consecutively from winter to summer, while it increased in autumn. The distributions of TDIAs showed some relationships with salinity and suspended particulate matter (SPM). The relationships between DIAs speciation (including arsenite [ As( Ⅲ ) ] and arsenate [ As( Ⅴ ) ]), biological activity and the availabilities of the phosphate were investigated in the study area for the cruise August 2002. The ratio of As (Ⅲ)/TDIAs increased with the decrease of phosphate concentrations. In the bottom water, the As( Ⅲ )/TDIAs ratio decreased with the increasing of N/P. The concentration of TDIAs decreased 28.7% approximately after the occurrence of harmful algal blooms (HAB) because of the uptake of arsenate by algae. Further study is needed about the arsenic source/sink relationships in their vertical or horizontal profiles and the uptake mechanism during the occurrence of harmful algal blooms. 展开更多
关键词 dissolved inorganic arsenic DISTRIBUTION seasonal variations coastal area of the East China Sea
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Soliton Solutions for a Negative Order AKNS Equation Hierarchy 被引量:1
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作者 JI Jie ZHANG Jian-Bing ZHANG Da-Jun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第9期395-397,共3页
In this paper,bilinear form of a negative order AKNS equation hierarchy is given.The soliton solutionsare obtained through Hiorta's direct method.
关键词 negative order AKNS equation hierarchy Hiorta's direct method soliton solution
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Isolation and Characterization of a Thermophilic Oil-Degrading Bacterial Consortium 被引量:3
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作者 Gu Guizhou Li Zheng +1 位作者 Zhao Dongfeng Zhao Chaocheng 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2013年第2期82-90,共9页
In this study, a thermophilic oil-degrading bacterial consortium KO8-2 growing within the temperature range of 45--65℃ (with 55℃ being the optimum temperature) was isolated from oil-contaminated soil of Karamay in... In this study, a thermophilic oil-degrading bacterial consortium KO8-2 growing within the temperature range of 45--65℃ (with 55℃ being the optimum temperature) was isolated from oil-contaminated soil of Karamay in Xinjiang, China. Denaturing gradient gel electrophoresis (DGGE) showed that there were nine strains included in KO8-2, which originated from the genera of Bacillus, Geobacillus and Clostridium. They all belonged to thermophilic bacteria, and had been previously proved as degraders of at least one petroleum fraction. The crude oil degraded by KO8-2 was analyzed by infrared spectrophotometry, hydrocarbon group type analysis and gas chromatography. The results indicated that the bacterial consortium KO8-2 was able to utilize 64.33% of saturates, 27.06% of aromatics, 13.24% of resins and the oil removal efficiency reached up to 58.73% at 55 ~C when the oil concentration was 10 g/L. Detailed analysis showed that KO8-2 was able to utilize the hydrocarbon components before C19, and the n-alkanes ranging from C20--C33 were signifi- cantly degraded. The ratios of nC17/Pr and nC18/Ph were 3.12 and 3.87, respectively, before degradation, whereas after degradation the ratios reduced to 0.21 and 0.38, respectively. Compared with the control sample, the oil removal efficiency in KO8-2 composting reactor reached 50.12% after a degradation duration of 60 days. 展开更多
关键词 thermophilic bacteria bacterial consortium oil-contaminated soil BIODEGRADATION DGGE
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Microcomputer Controlled High Precision Image Scanning Systems for Railway Tunnel Width Measurement
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作者 何广存 杨位钦 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期52+48-52,共6页
There should be high resolution demand that is better than 1000 DPI(dot per inch) for high precision image scanning system. This paper introduced the two-level computer controlled system that consisted of LS-3500 film... There should be high resolution demand that is better than 1000 DPI(dot per inch) for high precision image scanning system. This paper introduced the two-level computer controlled system that consisted of LS-3500 film scanner, AST386/33 monitoring control level and Intel 8031 single chip computer that is used as DDC level. The formula for scanning image data processing and methods of statistic parameters calculating are described. 展开更多
关键词 computer control linear transforms image resolution scanning systems
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Biodegradation ofEnteromorpha Polysaccharides by Intestinal Micro-Community from Siganus oramin 被引量:1
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作者 ZHANG Zhibiao HAN Xuefeng +3 位作者 XU Yan LI Jin LI Yuanyou HU Zhong 《Journal of Ocean University of China》 SCIE CAS 2016年第6期1034-1038,共5页
Micro-communities are supposed to have more potential functions of biodegradation of polysaccharides than single strain; however, the intestinal mi ties involved in the biodegradation of Enteromorpha polysaccharides ... Micro-communities are supposed to have more potential functions of biodegradation of polysaccharides than single strain; however, the intestinal mi ties involved in the biodegradation of Enteromorpha polysaccharides (EP) were sel- dom reported. In order to obtain the EP-degrading micro-community, the intestines of Siganus oramin was obtained to isolate the micro-communities, which were enriched by 0.3% of EP as the sole carbon source. A stable micro-community with EP degradative capability was achieved after seven generations of subculture, named H1. Results showed that H1 was able to degrade 75% of EP within 24 hours, and the activity of EP lyases reached 500 U mL-1 in 32 hours. With denaturing gradient gel electrophoresis (DGGE) and 16S rRNA gene clone library analysis, ten bacteria closely related to Marinomonas pontica, Microbacterium sp., Leucobacter chironomi, Cyclobacterium sp., Algoriphagus winogradskyi, Pseudoalteromonas sp. and Vibrio sp. were determined. Furthermore, compared with the DGGE bands sequence and the clone library analysis, the dominant bacteria of the EP-biodegrading mi- cro-community were Pseudoalteromonas sp. and Vibrio sp., with the respective proportion of 38% and 46%, and they should play an important role in EP degradation together with other degrading bacteria in the micro-community H1. 展开更多
关键词 micro-community enteromorpha polysaccharide BIODEGRADATION denaturing gradient gel electrophoresis 16S rRNAgene clone library
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Linguistic Dimensions of Accentedness,Comprehensibility and Intelligibility:Exploring Listener Effects in American,Moroccan,Turkmen and Chinese Varieties of English
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作者 Mei WEI 《Chinese Journal of Applied Linguistics》 2021年第4期520-542,590,共24页
The present study examines accentedness, comprehensibility, and intelligibility of American English, Moroccan English, Turkmen English, and Chinese English, from the perspectives of three groups of listeners: native s... The present study examines accentedness, comprehensibility, and intelligibility of American English, Moroccan English, Turkmen English, and Chinese English, from the perspectives of three groups of listeners: native speakers of English and Chinese speakers of English with or without international experiences. Of the 145 listeners, 38 had face-to-face interviews. These listener groups were asked to listen to the recordings of the four English varieties and fill in a cloze test.Results indicated that the three listener groups differed significantly in rating comprehensibility of American English, Moroccan English and Chinese English but they did not give Turkmen English statistically different ratings;there were no significant differences in accentedness ratings except for Chinese English;and there were significant differences in the intelligibility scores of the four English varieties. In addition, with respect to seven linguistic variables-speed, clarity, intonation,smoothness and fluency, vocal intensity, pause, vocabulary and grammar, there were significant differences in three listener groups’ rating of six variables in American English except the one of“speed”. By contrast, Chinese English received significantly different ratings only in “proper speed”. No differences were found in the ratings for Moroccan English and Turkmen English.Finally, unlike Chinese listeners without international experiences, native listeners and Chinese listeners with international experiences shared some similarities in correlations between the ratings of accentedness and comprehensibility and those of linguistic variables on Moroccan English,Turkmen English, and Chinese English. However, the results for American English from Chinese listeners without international experiences and native listeners seemed to be more alike. Linguistic variables correlating with accentedness and comprehensibility of American English showed a mixed profile. Qualitative data provided more variant elaborations on the pronunciations and language uses of the speakers. 展开更多
关键词 accentedness COMPREHENSIBILITY INTELLIGIBILITY English varieties linguistic variables
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Solving Kadomtsev—Petviashvili Equation via a New Decomposition and Darboux Transformation 被引量:2
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作者 FANEn-Gui 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第2期145-148,共4页
Recently, a new decomposition of the -dimensional Kadomtsev?Petviashvili (KP) equation to a -dimensional Broer?Kaup (BK) equation and a -dimensional high-order BK equation was presented by Lou and Hu. In our paper, a ... Recently, a new decomposition of the -dimensional Kadomtsev?Petviashvili (KP) equation to a -dimensional Broer?Kaup (BK) equation and a -dimensional high-order BK equation was presented by Lou and Hu. In our paper, a unified Darboux transformation for both the BK equation and high-order BK equation is derived with the help of a gauge transformation of their spectral problems. As application, new explicit soliton-like solutions with five arbitrary parameters for the BK equation, high-order BK equation and KP equation are obtained. 展开更多
关键词 KP equation BK equation Darboux transformation exact solution
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Degradation Characteristics and Community Structure of a Hydrocarbon Degrading Bacterial Consortium 被引量:8
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作者 Li Zheng Gu Guizhou +1 位作者 Zhao Chaocheng Zhao Dongfeng 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2015年第3期15-24,共10页
A hydrocarbon degrading bacterial consortium KO5-2 was isolated from oil-contaminated soil of Karamay in Xinjiang, China, which could remove 56.9% of 10 g/L total petroleum hydrocarbons(TPH) at 30 ℃ after 7 days of i... A hydrocarbon degrading bacterial consortium KO5-2 was isolated from oil-contaminated soil of Karamay in Xinjiang, China, which could remove 56.9% of 10 g/L total petroleum hydrocarbons(TPH) at 30 ℃ after 7 days of incubation, and could also remove 100% of fluorene, 98.93% of phenanthrene and 65.73% of pyrene within 3, 7 and 9 days, respectively. Twelve strains from six different genera were isolated from KO5-2 and only eight ones were able to utilize the TPH. The denaturing gradient gel electrophoresis(DGGE) was used to investigate the microbial community shifts in five different carbon sources(including TPH, saturated hydrocarbons, fluorene, phenanthrene and pyrene). The test results indicated that the community compositions of KO5-2 in carbon sources of TPH and saturated hydrocarbons, respectively, were roughly the same, while they were distinctive in the three different carbon sources of PAHs. Rhodococcus sp. and Pseudomonas sp. could survive in the five kinds of carbon sources. Bacillus sp., Sphingomonas sp. and Ochrobactrum sp. likely played key roles in the degradation of saturated hydrocarbons, PAHs and phenanthrene, respectively. This study showed that specific bacterial phylotypes were associated with different contaminants and complex interactions between bacterial species, and the medium conditions influenced the biodegradation capacity of the microbial communities involved in bioremediation processes. 展开更多
关键词 bacterial consortium community structure degradation characteristics total petroleum hydrocarbons (TPH) denaturing gradient gel electrophoresis (DGGE)
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Infinite Sequence Soliton-Like Exact Solutions of (2 + 1)-Dimensional Breaking Soliton Equation 被引量:19
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作者 Taogetusang Sirendaoerji 李姝敏 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第6期949-954,共6页
To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations (NEE(s)), by developing two characteristics of construction and mechanization on auxiliary equation method, the second ki... To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations (NEE(s)), by developing two characteristics of construction and mechanization on auxiliary equation method, the second kind of elliptie equation is highly studied and new type solutions and Backlund transformation are obtained. Then (2+ l )-dimensional breaking soliton equation is chosen as an example and its infinite sequence soliton-like exact solutions are constructed with the help of symbolic computation system Mathematica, which include infinite sequence smooth soliton-like solutions of Jacobi elliptic type, infinite sequence compact soliton solutions of Jacobi elliptic type and infinite sequence peak soliton solutions of exponential function type and triangular function type. 展开更多
关键词 the second kind of elliptic equation Backlund transformation nonlinear evolution equation infi-nite sequence soliton-like exact solution
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Extension of Variable Separable Solutions for Nonlinear Evolution Equations 被引量:3
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作者 ZHANG Shun-Li ZHU Xiao-Ning +1 位作者 WANG Yong-Mao LOU Sen-Yue 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第4期829-832,共4页
We give the generalized definitions of variable separable solutions to nonlinear evolution equations, and characterize the relation between the functional separable solution and the derivative-dependent functional sep... We give the generalized definitions of variable separable solutions to nonlinear evolution equations, and characterize the relation between the functional separable solution and the derivative-dependent functional separable solution. The new definitions can unify various kinds of variable separable solutions appearing in references. As application, we classify the generalized nonlinear diffusion equations that admit special functional separable solutions and obtain some exact solutions to the resulting equations. 展开更多
关键词 nonlinear evolution equation variable separable solution generalized conditional symmetry
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Combustion characteristics of semicokes derived from pyrolysis of low rank bituminous coal 被引量:10
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作者 Qian wei Xie Qiang +4 位作者 Huang Yuyi Dang Jiatao Sun Kaidi Yang Qian Wang Jincao 《International Journal of Mining Science and Technology》 SCIE EI 2012年第5期645-650,共6页
Various semicokes were obtained from medium-low temperature pyrolysis of Dongrong long flame coal.The proximate analysis,calorific value and Hardgrove grindability index(HGI) of semicokes were determined,and the ignit... Various semicokes were obtained from medium-low temperature pyrolysis of Dongrong long flame coal.The proximate analysis,calorific value and Hardgrove grindability index(HGI) of semicokes were determined,and the ignition temperature,burnout temperature,ignition index,burnout index,burnout ratio,combustion characteristic index of semicokes were measured and analyzed using thermogravimetry analysis(TGA).The effects of pyrolysis temperature,heating rate,and pyrolysis time on yield,composition and calorific value of long flame coal derived semicokes were investigated,especially the influence of pyrolysis temperature on combustion characteristics and grindability of the semicokes was studied combined with X-ray diffraction(XRD) analysis of semicokes.The results show that the volatile content,ash content and calorific value of semicokes pyrolyzed at all process parameters studied meet the technical specifications of the pulverized coal-fired furnaces(PCFF) referring to China Standards GB/T 7562-1998.The pyrolysis temperature is the most influential factor among pyrolysis process parameters.As pyrolysis temperature increases,the yield,ignition index,combustion reactivity and burnout index of semicokes show a decreasing tend,but the ash content increases.In the range of 400 and 450 °C,the grindability of semicokes is rational,especially the grindability of semicokes pyrolyzed at 450 °C is suitable.Except for the decrease of volatile content and increase of ash content,the decrease of combustion performance of semicokes pyrolyzed at higher temperature should be attributed to the improvement of the degree of structural ordering and the increase of aromaticity and average crystallite size of char.It is concluded that the semicokes pyrolyzed at the temperature of 450 °C is the proper fuel for PCFF. 展开更多
关键词 Long flame coal Medium-low temperature pyrolysis Semicoke Combustion characteristics Pulverized coal-fired furnaces
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On Relative Stability in 4-Dimensional Duck Solution 被引量:1
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作者 Kiyoyuki Tchizawa 《Journal of Mathematics and System Science》 2012年第9期558-563,共6页
This paper gives the existence of a relatively stable duck solution in a slow-fast system in R2+2 with an invariant manifold. The slow-fast system in R2+: has a 2-dimensional slow vector field and a 2-dimensional f... This paper gives the existence of a relatively stable duck solution in a slow-fast system in R2+2 with an invariant manifold. The slow-fast system in R2+: has a 2-dimensional slow vector field and a 2-dimensional fast vector field. The fast vector field restricts a feasible region of the slow vector field strictly. In the case of the slow-fast system in R2+1 , that is, the fast vector field is l-dimension, it is classified according to its sign, because it gives only negative(-), positive(+) or zero sign. Then it is attractive, repulsive or stationary. On the other hand, in R2~2 , the fast vector field has combinatorial cases. It causes a complex state to analyze the system. First, we introduce a local model near the pseudo singular point on which we classify the fast vector field attractive(-,-), attractive-repulsive(-,+) or repulsive(+,+), simply as possible. We prove the existence of a 4-dimensional duck solution in the local model. Secondarily, we assume that the slow-fast system has an invariant manifold near the pseudo singular point. When the invariant manifold has a homoclinic point near the pseudo singular point, we show that the slow-fast sytem has a 4-dimensional duck solution having a relatively stable region. 展开更多
关键词 Slow-fast system singular perturbation BIFURCATION nonstandard analysis.
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Boundedness of Solutions for Elliptic Variational Inequalities
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作者 Ye Ruifen(Department of Mathematics, Guangzhou Teachers’ College, 510400) 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第1期56-62,共7页
The boundedness is proved under more general structural conditions to solutions of elliptic variational inequalities and a priori estimates are obtained to maximum modulus of solutions for some special cases.
关键词 elliptic variational inequality generalized solution bounded solution:maximum modulus priori estimate
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