A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose Solution
A mathematical modeling of glucose−water separation through a reverse osmosis (RO) membrane was developed to research the membrane’s performance during the mass transfer process. The model was developed by coupling the concentration−polarization (CP) model, which uses o...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2019-05-01
|
Series: | Processes |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-9717/7/5/271 |
id |
doaj-a1daba0e924d44df9860203b9557b125 |
---|---|
record_format |
Article |
spelling |
doaj-a1daba0e924d44df9860203b9557b1252020-11-24T21:52:48ZengMDPI AGProcesses2227-97172019-05-017527110.3390/pr7050271pr7050271A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose SolutionChenghan Chen0Han Qin1Biomass Energy Technology Research Center, Biogas Institute of Ministry of Agriculture, Chengdu 610041, ChinaBiomass Energy Technology Research Center, Biogas Institute of Ministry of Agriculture, Chengdu 610041, ChinaA mathematical modeling of glucose−water separation through a reverse osmosis (RO) membrane was developed to research the membrane’s performance during the mass transfer process. The model was developed by coupling the concentration−polarization (CP) model, which uses one-dimensional flow assumption, with the irreversible thermodynamic Spiegler−Kedem model. A nonlinear parameter estimation technique was used to determine the model parameters <i>L<sub>p</sub></i> (hydraulic permeability constant), <i>σ</i> (reflection coefficient), and <i>B<sub>s</sub></i> (solute transport coefficient). Experimental data were obtained from the treatment of a pre-treated glucose solution using a laboratory-scale RO system, and studies on the validation of the model using experimental results are presented. The calculated results are consistent with the experimental data. The proposed model describes the RO membrane concentration process and deduces the expression of <i>k</i> (mass transfer coefficient in the CP layer). The verification shows that the expression of <i>k</i> well-describes the reverse osmosis mass transfer of a glucose solution.https://www.mdpi.com/2227-9717/7/5/271reverse osmosismass transfer processconcentration polarizationmathematical model |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chenghan Chen Han Qin |
spellingShingle |
Chenghan Chen Han Qin A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose Solution Processes reverse osmosis mass transfer process concentration polarization mathematical model |
author_facet |
Chenghan Chen Han Qin |
author_sort |
Chenghan Chen |
title |
A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose Solution |
title_short |
A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose Solution |
title_full |
A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose Solution |
title_fullStr |
A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose Solution |
title_full_unstemmed |
A Mathematical Modeling of the Reverse Osmosis Concentration Process of a Glucose Solution |
title_sort |
mathematical modeling of the reverse osmosis concentration process of a glucose solution |
publisher |
MDPI AG |
series |
Processes |
issn |
2227-9717 |
publishDate |
2019-05-01 |
description |
A mathematical modeling of glucose−water separation through a reverse osmosis (RO) membrane was developed to research the membrane’s performance during the mass transfer process. The model was developed by coupling the concentration−polarization (CP) model, which uses one-dimensional flow assumption, with the irreversible thermodynamic Spiegler−Kedem model. A nonlinear parameter estimation technique was used to determine the model parameters <i>L<sub>p</sub></i> (hydraulic permeability constant), <i>σ</i> (reflection coefficient), and <i>B<sub>s</sub></i> (solute transport coefficient). Experimental data were obtained from the treatment of a pre-treated glucose solution using a laboratory-scale RO system, and studies on the validation of the model using experimental results are presented. The calculated results are consistent with the experimental data. The proposed model describes the RO membrane concentration process and deduces the expression of <i>k</i> (mass transfer coefficient in the CP layer). The verification shows that the expression of <i>k</i> well-describes the reverse osmosis mass transfer of a glucose solution. |
topic |
reverse osmosis mass transfer process concentration polarization mathematical model |
url |
https://www.mdpi.com/2227-9717/7/5/271 |
work_keys_str_mv |
AT chenghanchen amathematicalmodelingofthereverseosmosisconcentrationprocessofaglucosesolution AT hanqin amathematicalmodelingofthereverseosmosisconcentrationprocessofaglucosesolution AT chenghanchen mathematicalmodelingofthereverseosmosisconcentrationprocessofaglucosesolution AT hanqin mathematicalmodelingofthereverseosmosisconcentrationprocessofaglucosesolution |
_version_ |
1725874803291717632 |