A generalized numerical framework for solving cocurrent and counter-current membrane models for gas separation
Bijan Medi1, Masoud Vesali-Naseh1, Mohaddeseh Haddad-Hamedani1
1Department of Chemical Engineering, Hamedan University of Technology, P.O. Box 65155-579, Hamedan, Iran.
Heliyon
|March 21, 2022
Summary
A new numerical framework enhances membrane separation simulations. This reliable and fast Gauss-Seidel method optimizes processes like gas separation and water treatment.
Area of Science:
- Chemical Engineering
- Computational Science
Background:
- Membrane separation is vital for water treatment, gas separation, and drug delivery.
- Efficient modeling and simulation are crucial for optimizing membrane processes.
- Existing numerical solutions lack speed and reliability for complex membrane systems.
Purpose of the Study:
- To propose a generalized numerical framework for cocurrent and counter-current membrane models.
- To develop a fast and reliable computational method for membrane separation simulations.
Main Methods:
- Implementation of a Gauss-Seidel method with successive over-relaxation.
- Development of a generalized numerical framework for membrane modeling.
- Validation using experimental data for gas mixture separation (CH4/CO2 and He/CO2/N2/CH4).
Main Results:
- The proposed algorithm demonstrates significant speed and reliability.
- Achieved permeate outlet pressure estimation error as low as ~10^-14%.
- Computational time on a personal laptop is under 4.5 seconds.
Conclusions:
- The developed framework offers an efficient numerical solution for membrane separation.
- The algorithm is validated and suitable for practical implementation in various software.
- This advancement can accelerate the design and optimization of membrane technologies.
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