Mathematical Models of Membranes

Asymptotic Analysis of Binary Gas Mixture Separation by Nanometric Tubular Ceramic Membranes: Cocurrent and Countercurrent Flow Patterns

Analytical gas-permeation models for predicting the separation process across  membranes (exit compositions and area requirement) constitutes an important and necessary step in understanding the overall performance of  membrane modules. But, the exact (numerical) solution methods suffer from the complexity of the solution. Therefore, solutions of nonlinear ordinary differential equations th...

The N-Membranes Problem

Mathematical Modeling of Carbon Dioxide Removal from the CO2/CH4 Gas Mixture Using Amines and Blend of Amines in Polypropylene: A Comparison between Hollow Fiber Membrane Contactor and Other Membranes

In this work, a mathematical model is established to describe the removal of CO2 from gaseous mixtures including CH4 and CO2 in a polypropylene hollow fiber membrane contactor in the presence of conventional absorbents such as monoethanolamine (MEA), methyldiethanolamine (MDEA), and a blend of them. Modeling was performed in axial and radial directions under the fully-wet condition for counterc...

Investigation the effect of nanocomposite material on permeation flux of polyerthersulfone membrane using a mathematical approach

Integrally skinned asymmetric membranes based on nanocompositepolyethersulfone were prepared by the phase separation process using the supercritical CO2 as a nonsolvent for the polymer solution. In present study, the effects of temperature and nanoparticle on selectivity performance and permeability of gases has beeninvestigated. It is shown that the presence of silica nanoparticles not only di...

Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches.

Diffuse interface (phase field) models are developed for multi-component vesicle membranes with different lipid compositions and membranes with free boundary. These models are used to simulate the deformation of membranes under the elastic bending energy and the line tension energy with prescribed volume and surface area constraints. By comparing our numerical simulations with recent biological...

Mathematical Modeling of Gas Separation Process with Flat Carbon Membrane

Carbon molecular sieve membranes (CMSMs) have been considered as very promising candidates for gas separation, in terms of separation properties as well as thermal and chemical stability. Due to the numerous advantages and wide applications of carbon membranes, their application for gas separation is of special importance. Because of the importance of carbon membranes and a large number of stud...