31 J mol−1 K−1)
Selleckchem P505-15 R g gyration radius (nm) r radius of pores (m, nm) r c radius of pore cavities (m, nm) r n radius of pore necks (m, nm) r p radius of globules (m, nm) S surface (m2 kg−1) S m surface of a composite membrane (m2 kg−1) T temperature (K) t transport number through the solution (dimensionless) t m transport number through the membrane (dimensionless) V pore volume (cm3 g−1) V micr volume of check details micropores in a matrix (cm3 g−1) V / micr volume of micropores in a matrix (cm3 g−1) z charge number (dimensionless) Greek ϵ porosity of a matrix (dimensionless) ϵ / porosity of a modified membrane (dimensionless) ϵ d dielectric constant (dimensionless); ϵ p porosity due to particles of chosen size (dimensionless) porosity of ion exchanger (dimensionless) ϵ 0 dielectric
permittivity of free space (8.85 × 10−12 F m−1) η surface selleck screening library charge density (C m−2) ν viscosity (m2 s−1) ρ electron density (dimensionless) ρ p particle density (kg m−3) ρ b bulk density (kg m−3) τ time (s) ω linear flow velocity (m s−1) Dimensionless criteria Re Reynolds number (dimensionless) Sc Schmidt number (dimensionless) Sh Sherwood number (dimensionless) Acknowledgements The work was supported by projects within the framework of programs supported by the government of Ukraine ‘Nanotechnologies and nanomaterials’ (grant no. 6.22.1.7) and by the National Academy of Science of Ukraine ‘Problems of stabile development, rational nature management and environmental protection’ see more (grant no. 30-12) and ‘Fundamental problems of creation of new materials for chemical industry’ (grant no. 49/12). References 1. Buekenhoudt A: Stability of porous ceramic membranes. Membr Sci Technol 2008, 13:1.CrossRef 2. Bose S, Das C: Preparation and characterization of low cost
tubular ceramic support membranes using sawdust as a pore-former. Mater Let 2013, 110:152.CrossRef 3. Martí-Calatayud MC, García-Gabaldón M, Pérez-Herranz V, Sales S, Mestre S: Synthesis and electrochemical behavior of ceramic cation-exchange membranes based on zirconium phosphate. Ceram Intern 2013, 39:4045.CrossRef 4. Ghosh D, Sinha MK, Purkait MK: A comparative analysis of low-cost ceramic membrane preparation for effective fluoride removal using hybrid technique. Desalination 2013, 327:2.CrossRef 5. Amphlett CB: Inorganic Ion-Exchangers. New York: Elsevier; 1964. 6. Dzyaz’ko YS, Belyakov VN, Stefanyak NV, Vasilyuk SL: Anion-exchange properties of composite ceramic membranes containing hydrated zirconium dioxide. Russ J Appl Chem 2006, 80:769.CrossRef 7. Dzyazko YS, Mahmoud A, Lapicque F, Belyakov VN: Cr(VI) transport through ceramic ion-exchange membranes for treatment of industrial wastewaters.