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傅科摆的分析力学解法
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作者 孙春峰 刘新甫 胡娟娟 《孝感学院学报》 2005年第3期34-37,共4页
著名的傅科摆实验,现行的教科书及有关文献都是应用牛顿力学方法讨论傅科摆的运动规律。本文从转动非惯性系出发,引入广义惯性势概念,导出非惯性系中受理想、完整约束有势力系的拉格朗日函数和第二类拉格朗日方程的广义惯性势形式。并... 著名的傅科摆实验,现行的教科书及有关文献都是应用牛顿力学方法讨论傅科摆的运动规律。本文从转动非惯性系出发,引入广义惯性势概念,导出非惯性系中受理想、完整约束有势力系的拉格朗日函数和第二类拉格朗日方程的广义惯性势形式。并应用此分析力学方法求解了傅科摆的运动规律,得到了同样结果。从而扩充了分析力学在非惯性系中实际应用的典型例子。 展开更多
关键词 非惯性系 广义惯性势 拉格朗日函数 傅科摆 分析力学解法
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Kinetics analysis of decomposition of vanadium slag by KOH sub-molten salt method 被引量:16
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作者 刘挥彬 杜浩 +3 位作者 王大卫 王少娜 郑诗礼 张懿 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第5期1489-1500,共12页
A novel process was developed for the decomposition of vanadium slag using KOH sub-molten salt under ambient pressure, and the effects of reaction temperature, alkali-to-ore mass ratios, particle size, and stirring sp... A novel process was developed for the decomposition of vanadium slag using KOH sub-molten salt under ambient pressure, and the effects of reaction temperature, alkali-to-ore mass ratios, particle size, and stirring speed on vanadium and chromium extraction were studied. The results suggest that the reaction temperature and KOH-to-ore mass ratio are more influential factors for the extraction of vanadium and chromium. Under the optimal reaction conditions (temperature 180 °C, initial KOH-to-ore mass ratio 4:1, stirring speed 700 r/min, gas flow 1 L/min, and reaction time 300 min), vanadium and chromium extraction rates can reach up to 95% and 90%, respectively. Kinetics analysis results show that the decomposing process of vanadium slag in KOH sub-molten salt can be well interpreted by the shrinking core model under internal diffusion control. The apparent activation energies for vanadium and chromium are 40.54 and 50.27 kJ/mol, respectively. 展开更多
关键词 vanadium slag SPINEL sub-molten salt method kinetics analysis DECOMPOSITION activation energy
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Thermodynamic analysis on the direct preparation of metallic vanadium from NaVO_3 by molten salt electrolysis 被引量:6
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作者 Wei Weng Mingyong Wang +2 位作者 Xuzhong Gong Zhi Wang Zhancheng Guo 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2016年第5期671-676,共6页
A novel and environmentally friendly route to directly prepare metallic vanadium from NaV03 by molten salt electrolysis is proposed. The feasibility about the direct electro-reduction of NaV03 to metallic vanadi- um i... A novel and environmentally friendly route to directly prepare metallic vanadium from NaV03 by molten salt electrolysis is proposed. The feasibility about the direct electro-reduction of NaV03 to metallic vanadi- um is analyzed based on the thermodynamic calculations and experimental verifications. The theoretical decomposition voltage of NaV03 to metallic vanadium is only 0.47 V at 800 ℃ and much lower than that of the alkali and alkali earth metal chloride salts. The value is slightly higher than that of low-valence vanadium oxides such as V203, V305 and VO. However, the low-valence vanadium oxides can he further electro-reduced to metallic vanadium thermodynamically. The thermodynamic analysis is verified by the experimental results. The direct preparation of metallic vanadium from NaV03 by molten salt electrolysis is feasible. 展开更多
关键词 Molten salt electrolysis NaV03 Thermodynamic analysis Metallic vanadium Decomposition voltage
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