Optimizing Diffusion Time and other Resources by Using the Diffusion Rate and Number of Stages Concepts

Q4 Physics and Astronomy Defect and Diffusion Forum Pub Date : 2023-12-12 DOI:10.4028/p-s1EZrY

F. E. Carvajal-Larenas

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Abstract

Considering that velocity of diffusion in a system solute-porous material-solvent depends on several factors, (among them, the concentration differential between “solute” in the porous material and “solute” in the solvent) the diffusion process will finish only when maximum entropy is achieved. Thus, the solute concentration will be equal in the matrix and in the solvent (equilibrium concept). On the other hand, if the velocity of diffusion depends on the differential of concentration, then, the amount of materials transferred per time unit (diffusion rate) will diminish as the process goes on. Moreover, when the final concentration of solute in the porous material is desired to be lower than that of the one-stage-equilibrium, then n-more stages must be added. Thus, the decision to choose a process with one or more stages, as well as the end point in each stage (as close or as far as equilibrium) will determine processing time and the use of other resources, i.e. amount of solvent, installation size, financial investment and so on. Therefore, the objective of this study is to develop a tool that helps to optimize these decisions by using a numerical approach.

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利用扩散率和阶段数概念优化扩散时间和其他资源

考虑到溶质-多孔材料-溶剂系统中的扩散速度取决于多个因素（其中包括多孔材料中的 "溶质 "和溶剂中的 "溶质 "之间的浓度差），扩散过程只有在达到最大熵时才会结束。因此，基质和溶剂中的溶质浓度将相等（平衡概念）。另一方面，如果扩散速度取决于浓度差，那么单位时间内的物质转移量（扩散速率）将随着过程的进行而减少。此外，如果希望多孔材料中溶质的最终浓度低于一级平衡时的浓度，则必须增加 n 级。因此，选择一个或多个阶段的工艺，以及每个阶段的终点（接近或远离平衡），将决定处理时间和其他资源的使用，即溶剂量、安装规模、资金投入等。因此，本研究的目标是开发一种工具，利用数值方法帮助优化这些决策。

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来源期刊

Defect and Diffusion Forum Physics and Astronomy-Radiation

CiteScore

1.20

自引率

0.00%

发文量

127

期刊介绍： Defect and Diffusion Forum (formerly Part A of ''''Diffusion and Defect Data'''') is designed for publication of up-to-date scientific research and applied aspects in the area of formation and dissemination of defects in solid materials, including the phenomena of diffusion. In addition to the traditional topic of mass diffusion, the journal is open to papers from the area of heat transfer in solids, liquids and gases, materials and substances. All papers are peer-reviewed and edited. Members of Editorial Boards and Associate Editors are invited to submit papers for publication in “Defect and Diffusion Forum” . Authors retain the right to publish an extended and significantly updated version in another periodical.