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Method for calculating material balance of complex process flowcharts
Journal of Mathematical Chemistry ( IF 1.7 ) Pub Date : 2020-04-22 , DOI: 10.1007/s10910-020-01129-y
O. V. Shults

When developing, analyzing, and optimizing chemical production technologies, one should first calculate the material and heat balances in order to quantify the products and wastes produced, the reagents and energy consumed, as well as to determine characteristics of equipment required. Thus, balance calculation helps to perform primary analysis of technology feasibility and to obtain initial data for estimation of capital and operational costs. Calculating material balance for the series-connected apparatus working in a steady-state mode is a trivial problem. For the process flowcharts with branching and recycled flows, however, calculations get more complicated. Iterative method of calculation with termination of iterations when convergence condition is met is frequently used to calculate the material balance of flowcharts with recycled flows. This method has several limitations, namely the increase in computational time, iterative accumulation of errors, possible oscillations of solution, etc. In complex flowcharts, branching and recycled flows often lead to internal cycles. For this reason, the more complex is the flowchart, the stronger is the influence of iterative method limitations that are mentioned above. This work is aimed to validate and improve material balance calculation for complex chemical process flowcharts with branching and recycled flows. We introduce the analytical solution instead of iterative algorithm used to perform such calculations and propose methods for convolution of straight, branched, and cycled segments of these flowcharts.

中文翻译:

复杂工艺流程图物料平衡计算方法

在开发、分析和优化化工生产技术时,首先要计算物料和热平衡,以量化生产的产品和废物、消耗的试剂和能源,并确定所需设备的特性。因此,余额计算有助于对技术可行性进行初步分析,并获得用于估计资本和运营成本的初始数据。计算在稳态模式下工作的串联设备的物料平衡是一个微不足道的问题。然而,对于具有分支和循环流的工艺流程图,计算变得更加复杂。满足收敛条件时终止迭代的迭代计算方法经常用于计算具有循环流的流程图的物料平衡。这种方法有几个限制,即计算时间的增加、错误的迭代累积、解的可能振荡等。在复杂的流程图中,分支和循环流通常会导致内部循环。因此,流程图越复杂,上述迭代方法限制的影响就越强。这项工作旨在验证和改进具有分支和循环流的复杂化学工艺流程图的物料平衡计算。我们介绍了用于执行此类计算的解析解而不是迭代算法,并提出了对这些流程图的直线段、分支段和循环段进行卷积的方法。解的可能振荡等。在复杂的流程图中,分支和循环流通常会导致内部循环。因此,流程图越复杂,上述迭代方法限制的影响就越强。这项工作旨在验证和改进具有分支和循环流的复杂化学工艺流程图的物料平衡计算。我们介绍了用于执行此类计算的解析解而不是迭代算法,并提出了对这些流程图的直线段、分支段和循环段进行卷积的方法。解的可能振荡等。在复杂的流程图中,分支和循环流通常会导致内部循环。因此,流程图越复杂,上述迭代方法限制的影响就越强。这项工作旨在验证和改进具有分支和循环流的复杂化学工艺流程图的物料平衡计算。我们介绍了用于执行此类计算的解析解而不是迭代算法,并提出了对这些流程图的直线段、分支段和循环段进行卷积的方法。这项工作旨在验证和改进具有分支和循环流的复杂化学工艺流程图的物料平衡计算。我们介绍了用于执行此类计算的解析解而不是迭代算法,并提出了对这些流程图的直线段、分支段和循环段进行卷积的方法。这项工作旨在验证和改进具有分支和循环流的复杂化学工艺流程图的物料平衡计算。我们介绍了用于执行此类计算的解析解而不是迭代算法,并提出了对这些流程图的直线段、分支段和循环段进行卷积的方法。
更新日期:2020-04-22
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