OPTIMIZED CALCULATION OF ADSORPTION PROCESS THROUGH THE NOZZLE ADSORBER BY THE CELL MODEL METHOD

Authors

DOI:

https://doi.org/10.24025/2306-4412.1.2022.250916

Keywords:

adsorption,, mathematical model, thermal processes, trapezoid method, MathCAD, cell model

Abstract

This paper considers the main theoretical calculations of adsorption kinetics, time of the flow in the nozzle adsorber, time of protective action of the adsorbent layer, average speed of adsorption process and the differential equation of the adsorption process according to initial and boundary conditions. Graphically, C-curve has been obtained, which is presented in dimensionless coordinates and demonstrates a mathematical model of adsorption process. The optimal number of cells is calculated by comparing the experimentally obtained response curve with the curves calculated according to the equation of the cell model at different values. In addition, the amount of heat according to the Langmuir's law for adsorption on activated carbon and the dependence of the amount of heat adsorbed on temperature using the Truton's equation have been determined. A mathematical model of the adsorp-tion process, which has been studied using the cell model method and software, is presented. Using the MathCAD application package and the Langmuir's equation, this model has been solved by com-paring the required number of cells n, which is defined as its main parameter. Based on the experimental curve, an assumption is made about the possible form of the cell model of adsorption process and mathematical processing of this curve is performed. The obtained values of model parameters have been calculated, the experimental data have been normalized by the trapezoidal method and the model has been tested for adequacy. The process of exchange of ions with the same charge, which takes place between the adsorbent and the adsorbate in exactly equivalent proportions in order to soften the water intended for the production of soft and alcoholic beverages, wine materials, is studied, as the taste of these products improves with the reduction of magnesium, copper and iron ions. Problems of mathematical modeling of adsorption processes in inhomogeneous media and methods of constructing mathematical problems of such models require further study and have the prospect of further research.

Author Biography

О.О. Onyshchuk, Lesya Ukrainka Volyn National University

Candidate of Technical Sciences, Associate Professor

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Published

2022-04-22

How to Cite

Onyshchuk О. (2022). OPTIMIZED CALCULATION OF ADSORPTION PROCESS THROUGH THE NOZZLE ADSORBER BY THE CELL MODEL METHOD. Bulletin of Cherkasy State Technological University, (1), 37–46. https://doi.org/10.24025/2306-4412.1.2022.250916

Issue

No. 1 (2022): VISNYK Cherkaskogo derzhavnogo tehnologichnogo universitetu

Section

Chemical Technologies and Engineering, Environmental Safety

URN

http://vtn.chdtu.edu.uaurn:2306:44551.2022.250916

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Copyright (c) 2022 Оксана Олександрівна Онищук

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