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Computation of multicomponent distillation processes by the Newton-Raphson method using an implicit function

Journal Article · · International Chemical Engineering (A Quarterly Journal of Translations from Russia, Eastern Europe and Asia); (United States)
OSTI ID:6423594
 [1]; ; ;  [2]
  1. Nippon Synthetic Chem. Ind. Co., Ltd., Osaka (Japan)
  2. Okayama Univ. (Japan)
A new iterative method is presented for the rigorous simulation of multicomponent distillation processes using the Newton-Raphson method to solve the simultaneous equations, which is characterized by the use of the liquid compositions as the independent variables and analytical equations for evaluating the partial derivatives, with the vapor compositions and temperatures as the dependent variables. The analytical equations for the partial derivatives of the vapor compositions with respect to the liquid compositions are derived, using the implicit-function theorem. The advantages of the method are that a numerical differentiation of the partial derivatives is unnecessary, as is normalization of the liquid compositions. The method has excellent convergence characteristics when applied to 10 typical distillation columns of complicated structure.
OSTI ID:
6423594
Journal Information:
International Chemical Engineering (A Quarterly Journal of Translations from Russia, Eastern Europe and Asia); (United States), Journal Name: International Chemical Engineering (A Quarterly Journal of Translations from Russia, Eastern Europe and Asia); (United States) Vol. 33:1; ISSN INCEAX; ISSN 0020-6318
Country of Publication:
United States
Language:
English

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