### Abstract

Concentration dependent, binary, coupled, diffusional mass transport, through dense membrane, was investigated. A quasi-analytical approach is given in order to calculate the concentration distribution in the membrane and the mass transfer rates in the case of a single component as well as of binary, coupled component diffusion transport. Using them, the effect of the tube-side external mass transfer coefficient, of the cylindrical space co-ordinate, of the feed concentration on the mass transfer rate was discussed. Both properties can be expressed by closed mathematical equations independently of the concentration dependency function of diffusion coefficients. The essential of this approach is that the composite, inhomogeneous or homogeneous media are divided into N sub-layers with constant diffusion coefficients. The differential mass balance equations with constant parameters were solved for every sub-layer with suitable boundary conditions. The coupled binary diffusion of toluene-water mixture was described by means of Flory-Huggins theory as an example. The widely used Maxwell-Stefan theory can also be similarly applied by the model presented.

Original language | English |
---|---|

Pages (from-to) | 159-168 |

Number of pages | 10 |

Journal | Journal of Membrane Science |

Volume | 274 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Apr 5 2006 |

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### Keywords

- Concentration dependent diffusion
- Concentration profile
- Coupling diffusion
- Cylindrical interface
- Flory-Huggins theory
- Mass transfer rate
- Membrane processes

### ASJC Scopus subject areas

- Filtration and Separation
- Polymers and Plastics

### Cite this

**Binary, coupled mass transfer with variable diffusivity through cylindrical dense membrane.** / Nagy, E.

Research output: Contribution to journal › Article

*Journal of Membrane Science*, vol. 274, no. 1-2, pp. 159-168. https://doi.org/10.1016/j.memsci.2005.08.007

}

TY - JOUR

T1 - Binary, coupled mass transfer with variable diffusivity through cylindrical dense membrane

AU - Nagy, E.

PY - 2006/4/5

Y1 - 2006/4/5

N2 - Concentration dependent, binary, coupled, diffusional mass transport, through dense membrane, was investigated. A quasi-analytical approach is given in order to calculate the concentration distribution in the membrane and the mass transfer rates in the case of a single component as well as of binary, coupled component diffusion transport. Using them, the effect of the tube-side external mass transfer coefficient, of the cylindrical space co-ordinate, of the feed concentration on the mass transfer rate was discussed. Both properties can be expressed by closed mathematical equations independently of the concentration dependency function of diffusion coefficients. The essential of this approach is that the composite, inhomogeneous or homogeneous media are divided into N sub-layers with constant diffusion coefficients. The differential mass balance equations with constant parameters were solved for every sub-layer with suitable boundary conditions. The coupled binary diffusion of toluene-water mixture was described by means of Flory-Huggins theory as an example. The widely used Maxwell-Stefan theory can also be similarly applied by the model presented.

AB - Concentration dependent, binary, coupled, diffusional mass transport, through dense membrane, was investigated. A quasi-analytical approach is given in order to calculate the concentration distribution in the membrane and the mass transfer rates in the case of a single component as well as of binary, coupled component diffusion transport. Using them, the effect of the tube-side external mass transfer coefficient, of the cylindrical space co-ordinate, of the feed concentration on the mass transfer rate was discussed. Both properties can be expressed by closed mathematical equations independently of the concentration dependency function of diffusion coefficients. The essential of this approach is that the composite, inhomogeneous or homogeneous media are divided into N sub-layers with constant diffusion coefficients. The differential mass balance equations with constant parameters were solved for every sub-layer with suitable boundary conditions. The coupled binary diffusion of toluene-water mixture was described by means of Flory-Huggins theory as an example. The widely used Maxwell-Stefan theory can also be similarly applied by the model presented.

KW - Concentration dependent diffusion

KW - Concentration profile

KW - Coupling diffusion

KW - Cylindrical interface

KW - Flory-Huggins theory

KW - Mass transfer rate

KW - Membrane processes

UR - http://www.scopus.com/inward/record.url?scp=32644467056&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=32644467056&partnerID=8YFLogxK

U2 - 10.1016/j.memsci.2005.08.007

DO - 10.1016/j.memsci.2005.08.007

M3 - Article

AN - SCOPUS:32644467056

VL - 274

SP - 159

EP - 168

JO - Jornal of Membrane Science

JF - Jornal of Membrane Science

SN - 0376-7388

IS - 1-2

ER -