Mathematical modeling of the adsorption process of water-methanol solution in a vertical adsorber

UDK: 541.183.25:622.276

DOI: 10.24887/0028-2448-2025-8-79-83

Key words: adsorption, methanol regeneration, aqueous methanol solution, oil and gas industry, associated petroleum gas, oil equipment flushing, rectification equipment, zeolite, material balance equation

Authors: A.A. Paranuk (Kuban State Technological University, RF, Krasnodar); V.A. Khrisonidi (Kuban State Technological University, RF, Krasnodar); S.I. Shiyan (Kuban State Technological University, RF, Krasnodar); D.A. Bebko (Branch of Maikop State Technological University in the village of Yablonovsky, RF, Yablonovsky)

The paper proposes an original process flow chart and a mathematical model for methanol regeneration from aqueous solutions. The proposed process flow chart for methanol regeneration from aqueous solutions is based on the principle of adsorption on an adsorbent, it uses the molecular-sieve properties of the adsorbent NaA (without a binder) for methanol regeneration. The mathematical model describing the process of adsorption of a binary solution on an adsorbent is a complex mathematical problem based on the solution of the diffusion equation in spherical coordinates. The concentration of methanol C in an aqueous solution is assumed to be constant, the adsorbent is selected as a spherical shape and with the same radius R of granules to simplify the mathematical model. Modeling the flow of an aqueous solution of methanol, in the adsorber of which the geometric parameters are not known in advance, the Lagrangian coordinate system is used, the way that the concentration of an aqueous solution of methanol depends on the layer number s and time t. To find the diffusion of the water component inside the granule, the Euler approach is used, that is, the concentration inside the adsorbent granule depends on the distance to the center and on time t. It is assumed that in the mathematical model of regeneration of an aqueous solution of methanol, the diffusion coefficient for water is constant.

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