The transport of adsorbate mixtures in porous materials: Basic equations for pores with simple geometry |
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| Institution: | 1. Materials Surface Science Institute, Department of Chemical and Environmental Sciences, University of Limerick, Ireland;2. School of Chemistry and Chemical Engineering, Queen’s University Belfast, Belfast BT9 5AG, Northern Ireland, UK;1. Nanotechnology and Functional Materials, Department of Engineering Sciences, The Ångström Laboratory, Uppsala University, Box 534, SE-751 21 Uppsala, Sweden;2. Department of Chemistry – Ångström, The Ångström Laboratory, Uppsala University, Box 538, SE-751 21 Uppsala, Sweden;1. Faculty of Natural Sciences Education, Saigon University, 273 An Duong Vuong Street, District 5, Ho Chi Minh City 700000 Viet Nam;2. School of Chemical Engineering – Hanoi University of Science and Technology, Hanoi, 100000 Viet Nam;3. Faculty of Chemistry and Center for Computational Science, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi 100000 Viet Nam;1. Institute of Biomechanics and Medical Engineering, Applied Mechanics Laboratory, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;2. Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland |
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| Abstract: | The basic equations governing the transport of single and binary adsorbate mixtures through single pores are considered. An irreversible thermodynamic formulation is adopted and both viscous and diffusive terms are incorporated following the earlier work of Mason and co-workers. The links between phenomenological coefficients and molecular properties are demonstrated. For single components, the gas phase and high density limits are considered. By using simple hydrodynamic models it is shown that the phenomenological coefficients in the mixture equations can all be expressed as functions of the coefficients for the individual components in the same pore, and the properties of the component adsorption isotherms. Whilst it is appreciated that the hydrodynamic approach will be of limited value in very small pores, it is argued that useful insights can be gained into the feasibility of membrane separation processes from this method. The general equations can be used in future development of network models for porous materials. |
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