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Improvement of Biodiesel Product Yield during Simple Consecutive-Competitive Reactions
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作者 Kal Renganathan Sharma 《Journal of Encapsulation and Adsorption Sciences》 2015年第4期204-216,共13页
Biodiesel is a renewable fuel that can be made from vegetable oil and waste restaurant greases by catalysed transesterification reactions. Over 5 billion gallons of biodiesel was produced in 2010. The European Union a... Biodiesel is a renewable fuel that can be made from vegetable oil and waste restaurant greases by catalysed transesterification reactions. Over 5 billion gallons of biodiesel was produced in 2010. The European Union and United States are seeing the sigmoidal portion of the growth curve in biodiesel production. Economic analysis such as profitability and annualized worth (AW) of a biodiesel plant in Taiwan is presented. With the revenue from glycerine byproduct recovery and with lower raw material costs, biodiesel may be profitable especially during days of higher gasoline prices. Multiple reactions of the consecutive-competive type may be used to model the methonolysis of trigylcerides. The reaction rate constant ratios and residence time in the reactor are important parameters in determining higher selectivity of FAME, fatty acid methyl ester product yield over glycerol by-product production. Illustrations of higher FAME yield, higher glycerol yield and cross-over from FAME to glycerol are shown for some values of reaction rate constant ratios and reaction scheme from triglycerides to diglycerides, monoglycerides and glycerol along with formation of FAME in each step by addition of methanol and catalyst is shown. Product distribution curves are presented in Figures 2-5 for different values or reaction rate constant ratios. 展开更多
关键词 BIODIESEL TRANSESTERIFICATION REACTIONS Consecutive-Competitive REACTIONS JATROPHA Curcas Oil Genomics Centrifugal Separation Optimization PROFITABILITY method of laplace transforms
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求常系数非齐次微分方程特解的一种新方法——特征多项式法
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作者 倪仁兴 《绍兴文理学院学报(自然科学版)》 2003年第9期12-14,20,共4页
提出了求解常系数非齐次线性微分方程特解的一种新简化方法——特征多项式法,它比通常教材介绍的两种传统方法——比较系数法和拉普拉斯变换法简捷,对高阶、项数多的微分方程显得更有意义。
关键词 常系数非齐次微分方程 特解 求解方法 特征多项式法 比较系数法 拉普拉斯变换法
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带双界限的马氏风险模型红利折现的矩
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作者 刘丽芳 《湖南科技大学学报(自然科学版)》 CAS 北大核心 2012年第4期117-120,共4页
主要研究了一类马氏环境下双界限分红模型.不仅考虑了随机环境对保险公司的影响,而且考虑了保险公司为吸引新的顾客,采用分红策略.首先针对破产前红利折现的期望与红利折现的高阶矩得出它们分别满足的积分一微分方程组及其边界条件.其... 主要研究了一类马氏环境下双界限分红模型.不仅考虑了随机环境对保险公司的影响,而且考虑了保险公司为吸引新的顾客,采用分红策略.首先针对破产前红利折现的期望与红利折现的高阶矩得出它们分别满足的积分一微分方程组及其边界条件.其次采用Laplace-变换的方法,得到了此积分-微分方程组的解. 展开更多
关键词 风险模型 红利 laplace-变换方法
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