کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6466880 1423245 2017 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Calculation of simultaneous chemical and phase equilibrium by the method of Lagrange multipliers
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی مهندسی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Calculation of simultaneous chemical and phase equilibrium by the method of Lagrange multipliers
چکیده انگلیسی


- Equilibrium calculation of multiphase systems in presence of chemical reactions.
- Robust variable initialization and stability analysis for equilibrium verification.
- Successful calculations of two- and three-phase reaction systems.
- Coupling with a second-order method can improve computation efficiency.

The purpose of this work is to develop a general, reliable and efficient algorithm, which is able to deal with multiple reactions in multiphase systems. We selected the method of Lagrange multipliers to minimize the Gibbs energy of the system, under material balance constraints. Lagrange multipliers and phase amounts are the independent variables, whose initialization is performed by solving a subset of the working equations. This initialization is the unconstrained minimization of a convex function and it is bound to converge. The whole solution procedure employs a nested loop with Newton iteration in the inner loop and non-ideality updated in the outer loop, thus giving an overall linear convergence rate. Stability analysis is used to introduce additional phases sequentially so as to obtain the final multiphase solution. The procedure was successfully tested on vapor-liquid equilibrium (VLE) and vapor-liquid-liquid equilibrium (VLLE) of reaction systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chemical Engineering Science - Volume 174, 31 December 2017, Pages 112-126
نویسندگان
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