Open AccessDynamic linear adsorption with solid adsorbent material
Author(s) -
Вадим Поляков
Publication year - 2021
Publication title -
dopovidi nacionalʹnoï akademiï nauk ukraïni/dopovìdì nacìonalʹnoï akademìï nauk ukraïni
Language(s) - English
Resource type - Journals
eISSN - 2518-153X
pISSN - 1025-6415
DOI - 10.15407/dopovidi2021.04.046
Subject(s) - adsorption , filtration (mathematics) , impurity , suspension (topology) , aqueous solution , diffusion , thermodynamics , chemistry , mathematics , filter (signal processing) , constant (computer programming) , materials science , mathematical analysis , chromatography , physics , organic chemistry , computer science , statistics , homotopy , pure mathematics , computer vision , programming language
A mathematical problem of linear physical adsorption of a dissolved impurity is formulated, by consider-ing its diffusion transfer during the filtration of an aqueous suspension through a uniform adsorbent bed at a constant rate. By averaging the impurity concentrations in the free and bound states over an arbi-trary time period, an approximate solution of the problem is obtained, which is only expressed in terms of the elementary functions. On its basis, it is proposed to calculate the rational duration of the filter run. The solution is discussed and illustrated with a number of examples with typical input data.