A Mathematical Model of Membrane Gas Separation with Energy Transfer by Molecules of Gas Flowing in a Channel to Molecules Penetrating this Channel from the Adjacent Channel

• Authors: Maciej Szwast , Zbigniew Szwast
• Languages of publication: EN

Abstracts

EN

The paper presents the mathematical modelling of selected isothermal separation processes of gaseous mixtures, taking place in plants using membranes, in particular nonporous polymer membranes. The modelling concerns membrane modules consisting of two channels - the feeding and the permeate channels. Different shapes of the channels cross-section were taken into account. Consideration was given to co-current and counter-current flows, for feeding and permeate streams, respectively, flowing together with the inert gas receiving permeate. In the proposed mathematical model it was considered that pressure of gas changes along the length of flow channels was the result of both - the drop of pressure connected with flow resistance, and energy transfer by molecules of gas flowing in a given channel to molecules which penetrate this channel from the adjacent channel. The literature on membrane technology takes into account only the drop of pressure connected with flow resistance. Consideration given to energy transfer by molecules of gas flowing in a given channel to molecules which penetrate this channel from the adjacent channel constitute the essential novelty in the current study. The paper also presents results of calculations obtained by means of a computer program which used equations of the derived model. Physicochemical data concerning separation of the CO2/CH4 mixture with He as the sweep gas and data concerning properties of the membrane made of PDMS were assumed for calculations.

Keywords

EN

membrane; membrane module; reciprocal transfer of energy between gas molecules; changes of the pressure of gas along the length of flow channel

• Publisher: De Gruyter Open
• Journal: Chemical and Process Engineering
• Year: 2015
• Volume: 36
• Issue: 2
• Pages: 151-169

Dates

published

1 - 6 - 2015

online

17 - 7 - 2015

received

24 - 11 - 2014

revised

5 - 3 - 2015

accepted

5 - 3 - 2015

Contributors

author

Maciej Szwast

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, Waryńskiego 1, 00-645 Warsaw, Poland

author

Zbigniew Szwast

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, Waryńskiego 1, 00-645 Warsaw, Poland

References

• Chmielewski A.G., Berbec A., Zalewski M., Dobrowolski A., 2012. Hydraulic mixing modeling in reactor for biogas production. Chem. Process Eng., 33, 621-628. DOI: 10.2478/v10176-012-0052-8.
• Chowdhury M.H.M., Feng X., Douglas P., Croiset E., 2005. A new numerical approach for a detailed multicomponent gas separation membrane model and AspenPlus simulation. Chem. Eng. Technol., 28, 7, 773-782. DOI: 10.1002/ceat.200500077.
• Ciborowski J., 1973. Process Engineering. WNT, Warszawa (in Polish).
• Cocker D.T., Allen T., Freeman B.D., Fleming G.K., 1999. Non-isothermal model for gas separation hollow-fiber membranes. AIChE J., 45, 7, 1451-1468. DOI: 10.1002/aic.690450709.
• Kundu P.K., Chakma A., Feng X., 2013. Modelling of multicomponent gas separation with asymmetric hollow fibre membranes - methane enrichment from biogas. Can. J. Chem. Eng., 91, 1092-1102. DOI: 10.1002/cjce.21721.
• Makaruk A., Harasek M., 2009. Numerical algorithm for modelling multicomponent multipermeator systems. J. Membr. Sci., 344, 258-265. DOI: 10.1016/j.memsci.2009.08.013.
• Piątkiewicz W., 2012. Selected aspects of designing membrane installations with cross flow. Biblioteka Problemów Eksploatacji, Radom (in Polish).
• Rautenbach R., Dahm W., 1986. Simplified calculation of gas permeation hollow-fiber modules for the separation of binary mixtures. J. Membr. Sci., 28, 319-327. DOI: 10.1016/S0376-7388(00)82042-6.
• Scholz M., Hatlacher, Melin T., Wessling M., 2013. Modeling gas permeation by linking nonideal effects. Ind. Eng. Chem. Res., 52, 1079-1088. DOI: 10.1021/ie202689m.
• Smith S.W., Hall C.K., Freeman B.D., Rautenbach R., 1996. Corrections for analytical gas-permeation models for separation of binary gas mixtures using membrane modules. J. Membr. Sci., 118, 289-294. DOI: 10.1016/0376-7388(96)00128-7.
• Szwast M., 2012, Polymer membranes for separation of gases (in Polish), Przemysł Chemiczny, 91/7, 1356-1361.
• Szwast M., Nikpour R., Szwast Z., Piątkiewicz W., 2012. Using ceramic membranes for separation of water-oil mixtures - laboratory investigations and mathematical description of the process. Inż. Ap. Chem., 51, 6, 391-393 (in Polish).
• Szwast M., Szwast Z., Grądkowski M., Piątkiewicz W., 2013. Modelling of postproduction suspensions’ concentration processes by „batch” membrane microfiltration. Chem. Process Eng., 34, 3, 313-325. DOI: 10.2478/cpe-2013-0025.
• Szwast M., Szwast Z., 2013. Mathematical modelling of gases-separation processes with participation of a flat nonporous polymer membranes. Inż. Ap. Chem., 52, 6, 575-576 (in Polish).
• Yampolskii Yu., Pinnau I., Freeman B.D. (Eds.), 2006. Materials science of membranes for gas and vapor separation. Wiley

Identifiers

DOI

10.1515/cpe-2015-0012