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    张瑞生. 板式反应精馏塔的模拟计算——修正的Newton-Raphson法[J]. 华东理工大学学报(自然科学版), 1989, (1).
    引用本文: 张瑞生. 板式反应精馏塔的模拟计算——修正的Newton-Raphson法[J]. 华东理工大学学报(自然科学版), 1989, (1).

    板式反应精馏塔的模拟计算——修正的Newton-Raphson法

    • 摘要: 通过选择合适的迭代变量和分层迭代的方法,提出了一种计算机内存少、机时省且稳定收敛的板式反应精馏塔的数学模拟算法。该算法将模型方程分成内外两层迭代求解。内层以塔板上各组分的液相浓度为迭代变量,以物料衡算方程为残差函数,用Newton-Raphson法求解;外层以各板上汽相流量为迭代变量,用直接迭代法求解焓平衡方程。该算法能适用于非理想性较强,反应级数高于一级的系统。并附计算实例。

       

      Abstract: Distillation with simultaneous chemical reaction represents a special area of distillation technology, and its economical advantages have been proved. The objective of this study is to present a computation method for handling chemical reaction in an equillibrium stage device. Reported here is a technique based on the Newton-Raphson method for solving the model equations which describe distillation with simultaneous reaction. Mole fractions of components x_(ij) and vapour flow rates V_i on eaeh stage are selected as iterative variables. An outer iteration loop and an inner iteration loop are involved. The inner loop is for x_(ij) and the outer one for V_j. The Newton-Raphson method is used for the convergence of the inner loop with material balance equations being residual functions, this procedure is suitable for highly nonideal solutions. A rapid and stable convergence is achieved without the use of damping factors. Numerical examples are presented.

       

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