Open Access

ARTICLE

Modeling of the Adsorption Allowing for the Changing Adsorbent Activity at Various Stages of the Process

Marat Satayev^1,2,*, Abdugani Azimov², Arnold Brener², Nina Alekseyeva¹, Zulfia Shakiryanova²

1 LLP «InnovTechProduct», Industrial Zone Ordabasy, Shymkent, 160006, Republic of Kazakhstan
2 M. Auezov South Kazakhstan University, Laboratory «Monitoring and Ecology of Water», Shymkent, 160012, Republic of Kazakhstan

* Corresponding Author: Marat Satayev. Email:

(This article belongs to the Special Issue: Direct-Contact Heat and Mass Transfer Packings and Packed Beds)

Frontiers in Heat and Mass Transfer 2024, 22(5), 1533-1558. https://doi.org/10.32604/fhmt.2024.052901

Received 18 April 2024; Accepted 14 August 2024; Issue published 30 October 2024

Abstract

The goal of this work is, first of all, to construct a mathematical model of the mass transfer process in porous adsorption layers, taking into account the fact that in most cases the adsorption process is carried out in non-stationary technological modes, which requires a clear description of its various stages. The scientific contribution of the novel model is based on a probability approach allowing for deriving a differential equation that takes into account the diffusion migration of adsorbed particles. Solving this equation allows us to calculate the reduced degree of the adsorption surface coverage along the flow and, thereby, calculate the efficiency of the mass transfer process. The model also makes it possible to determine the slip coefficient, the internal diffusion coefficient and the degree of filling of the internal surface of the pores of the adsorbent layer, which corresponds to the completion of the initial stage of adsorption and the transition of the process to a stable mode. In this case, the problem is to calculate a non-isothermal turbulent boundary layer when flowing around the surface of an adsorbent. Next, the problem of identifying the main control parameters of the model has been solved. Based on such analysis and experimental studies to assess the influence of process control parameters, the patterns of adsorption purification and solution separation have been established and the design of a highly efficient adsorption apparatus with a fixed layer of porous adsorbent have been developed.

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Keywords

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