Simulation of the Impurity Absorption from a Laminar Flow in a System of Hollow-Fiber Membranes

V. A. Kirsh; Кирш В. А.

doi:10.31857/S2218117223060068

Simulation of the Impurity Absorption from a Laminar Flow in a System of Hollow-Fiber Membranes

Authors: Kirsh V.A.¹^,2
Affiliations:
1. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences
2. Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences
Issue: Vol 13, No 6 (2023)
Pages: 475-485
Section: Articles
URL: https://ruspoj.com/2218-1172/article/view/674300
DOI: https://doi.org/10.31857/S2218117223060068
EDN: https://elibrary.ru/HONCTM
ID: 674300

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Abstract
About the authors
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Abstract

The external stationary flow of a viscous incompressible fluid and the convective-diffusion mass transfer of a solute in an ordered system of parallel hollow fiber membranes arranged normally to the flow direction are calculated in the ranges of Reynolds numbers \(\operatorname{Re} \) = 0.01–100 and Schmidt numbers \({\text{Sc}}\) = 1–1000. The Navier–Stokes equations and the equation of convective diffusion were solved using the methods of computational fluid dynamics with a no-slip boundary condition and with a constant solute concentration condition on the outer surface of the streamlined fiber. The calculations were performed for a row of fibers and for a multi-fiber system consisting of four and sixteen rows of fibers. The outlet concentrations and the fiber solute retention efficiencies \(\eta \) were calculated depending on the packing density of the fibers and the \(\operatorname{Re} \) and \({\text{Sc}}\) numbers. It is shown that it is possible to use the fiber solute retention efficiency \(\eta \) defined for a single row of fibers to predict the retention efficiency of an extended multi-row fibrous bed.

Keywords

flow in porous media, convective diffusion, Reynolds number, Schmidt number, Peclet number, hollow fiber membrane, membrane contactor

About the authors

V. A. Kirsh

Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences; Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences

Author for correspondence.
Email: va_kirsch@mail.ru
Russia, 119071, Moscow; Russia, 119991, Moscow

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