THE METHOD OF ORTHOGONAL COLLOCATION USED IN CHEMICAL ENGINEERING WITH FRACTAL STRUCTURE

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2001, Vol. 18 ›› Issue (3): 235-240.

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THE METHOD OF ORTHOGONAL COLLOCATION USED IN CHEMICAL ENGINEERING WITH FRACTAL STRUCTURE

LIU Fu-sheng¹, MA Zheng-fei², WANG Sheng²

1. The Basic Course, Nanjing Forestry University, Nanjing 210037, P R China;
2. Department of Chemical Engineering, Nanjing University of Chemical Technology, Nanjing 210009, P R China

Received:1999-11-01 Revised:2000-05-09 Online:2001-05-25 Published:2001-05-25

Abstract

Abstract: The method of orthogonal collocation in Euclid's space has been extended to fractal space,with which the numerical computation of reaction-diffusion problem in chemical engineering has been also performed.The comparisons between calculated results and related analytical solutions show that this extended method gives the same results as theoretical ones,and permits to be used as a powerful numerical tool for the detailed analysis of chemical processes with fractal structure.

Key words: fractal, the method of orthogonal collocation, reaction-diffusion problem, mumerical simulation

CLC Number:

LIU Fu-sheng, MA Zheng-fei, WANG Sheng. THE METHOD OF ORTHOGONAL COLLOCATION USED IN CHEMICAL ENGINEERING WITH FRACTAL STRUCTURE[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(3): 235-240.

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THE METHOD OF ORTHOGONAL COLLOCATION USED IN CHEMICAL ENGINEERING WITH FRACTAL STRUCTURE

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