Calculation of extraction equilibrium in multi-component system by   Newton-Raphson algorithm

CORC > 北京大学 > 化学与分子工程学院

	Calculation of extraction equilibrium in multi-component system by Newton-Raphson algorithm
	Jia, JT ; Wang, JF ; Yan, CH ; Liao, CS ; Wu, S ; Li, BG
刊名	中国稀土学报英文版
	1999
关键词	rare earths multi-component system extraction equilibrium Newton-Raphson algorithm
英文摘要	Based on the extraction equilibrium and mass balances in countercurrent extraction systems, a novel method was studied for dealing with the extraction equilibrium and the mass distribution in a multi-component(gamma-component) system. The relationships of mass distribution (x(i), y(i), i = 1, ..., lambda) between two phases were expressed by 2 lambda dimensional simultaneous equations. These simultaneous equations can be converted to a one-dimension nonlinear equation, then it was solved by Newton-Raphson algorithm within a few number of iteration. Compared with the regular calculation method for the 2 lambda dimensional simultaneous equations, Newton-Raphson algorithm can decrease the number of iteration, increase the convergence of the equations and accelerate the speed of simulation. It was verified in many multi-component systems with satisfactory results. As an example, a five-component system is demonstrated in this paper.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000084537600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Chemistry, Applied; SCI(E); 4; ARTICLE; 4; 246-249; 17
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/401550]
专题	化学与分子工程学院
推荐引用方式 GB/T 7714	Jia, JT,Wang, JF,Yan, CH,et al. Calculation of extraction equilibrium in multi-component system by Newton-Raphson algorithm[J]. 中国稀土学报英文版,1999.
APA	Jia, JT,Wang, JF,Yan, CH,Liao, CS,Wu, S,&Li, BG.(1999).Calculation of extraction equilibrium in multi-component system by Newton-Raphson algorithm.中国稀土学报英文版.
MLA	Jia, JT,et al."Calculation of extraction equilibrium in multi-component system by Newton-Raphson algorithm".中国稀土学报英文版 (1999).