Transport phenomena in gas permeation through glassy polymer membranes with concentration-dependent sorption and diffusion parameters

1994 ◽  
Vol 11 (3) ◽  
pp. 211-215 ◽  
Author(s):  
Seong-Youl Bae †† ◽  
Hee-Taik Kim ◽  
Hidehiro Kumazawa
Keyword(s):  
Glassy Polymer ◽  
Transport Phenomena ◽  
Polymer Membranes ◽  
Gas Permeation ◽  
Diffusion Parameters ◽  
And Diffusion

Gas permeation through glassy polymer membranes with relatively low glass-transition temperature

1993 ◽  
Vol 10 (1) ◽  
pp. 44-48 ◽  
Author(s):  
Seong-Youl Bae ◽  
Du-Hyon Cho ◽  
Sang-Wook Ko ◽  
Hee-Taik Kim ◽  
Hidehiro Kumazawa
Keyword(s):  
Glass Transition ◽  
Transition Temperature ◽  
Glass Transition Temperature ◽  
Glassy Polymer ◽  
Polymer Membranes ◽  
Gas Permeation

scholarly journals Regularity, Asymptotic Solutions and Travelling Waves analysis in a porous medium system to model the interaction between invasive and invaded species

2021 ◽  
Author(s):  
José Díaz ◽  
Antonio Naranjo
Keyword(s):  
Porous Medium ◽  
Travelling Waves ◽  
Stationary Solutions ◽  
Uniqueness Of Solutions ◽  
Linear Diffusion ◽  
Diffusion Parameters ◽  
Medium System ◽  
Topological Argument ◽  
And Diffusion ◽  
Stable Connection

This work provides an analytical approach to characterize and determine solutions to a porous medium system of equations with views in applications to invasive-invaded biological dynamics. Firstly, the existence and uniqueness of solutions are proved. Afterwards, profiles of solutions are obtained making use of the selfsimilar structure that permits to show the existence of a diffusive front. The solutions are then studied within the Travelling Waves (TW) domain showing the existence of potential and exponential profiles in the stable connection that converges to the stationary solutions in which the invasive specie predominates. The TW profiles are shown to exist based on the geometry perturbation theory together with an analytical-topological argument in the phase plane. The finding of an exponential decaying rate (related with the advection and diffusion parameters) in the invaded specie TW is not trivial in the non-linear diffusion case and reflects the existence of a TW trajectory governed by the invaded specie runaway (in the direction of the advection) and the diffusion (acting along a finite speed front or support).

scholarly journals Molecular Modeling Investigations of Sorption and Diffusion of Small Molecules in Glassy Polymers

Membranes ◽  
2019 ◽  
Vol 9 (8) ◽  
pp. 98 ◽  
Author(s):  
Niki Vergadou ◽  
Doros N. Theodorou
Keyword(s):  
Small Molecules ◽  
Molecular Simulation ◽  
Glassy Polymer ◽  
Polymeric Materials ◽  
Gas Separations ◽  
Polymeric Systems ◽  
Wide Range ◽  
Multiscale Problem ◽  
Polymer Configurations ◽  
And Diffusion

With a wide range of applications, from energy and environmental engineering, such as in gas separations and water purification, to biomedical engineering and packaging, glassy polymeric materials remain in the core of novel membrane and state-of the art barrier technologies. This review focuses on molecular simulation methodologies implemented for the study of sorption and diffusion of small molecules in dense glassy polymeric systems. Basic concepts are introduced and systematic methods for the generation of realistic polymer configurations are briefly presented. Challenges related to the long length and time scale phenomena that govern the permeation process in the glassy polymer matrix are described and molecular simulation approaches developed to address the multiscale problem at hand are discussed.

scholarly journals On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Jeffry Kusuma ◽  
Agustinus Ribal ◽  
Andi Galsan Mahie
Keyword(s):  
Mathematical Model ◽  
Three Dimension ◽  
Sand Mining ◽  
Mining Pollution ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Diffusion Parameters ◽  
Sea Sand ◽  
And Diffusion ◽  
Pollution Distribution

This paper describes a numerical solution for mathematical model of the transport equation in a simple rectangular box domain. The model of street tunnel pollution distribution using two-dimension advection and three-dimension diffusion is solved numerically. Because of the nature of the problem, the model is extended to become three-dimension advection and three-dimension diffusion to study the sea-sand mining pollution distribution. This model with various advection and diffusion parameters and the boundaries conditions is also solved numerically using a finite difference (FTCS) method.

Determination of sorption and diffusion parameters of 99Tc in crushed granite using through-diffusion experiments

2016 ◽  
Vol 311 (2) ◽  
pp. 1111-1116 ◽  
Author(s):  
Yu-Hung Shih ◽  
Tsuey-Lin Tsai ◽  
Liang-Cheng Chen ◽  
Te-Yen Su ◽  
Chuan-Pin Lee ◽  
...  
Keyword(s):  
Diffusion Parameters ◽  
Crushed Granite ◽  
Through Diffusion ◽  
And Diffusion
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