By J. Markos
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If the differentials of the chemicals potential are expressed as functions of the volume fractions, one finds d1 1 1 2 T , P ,1 k2 2 2 T , P ,1 d2 k2 2 1 T , P , 1 1 1 T , P , 2 (29) 2 This first order differential equation yields the relation between 1 and 2 in the diffusion layer as a function of the ratio J1 / J 2 and one of the boundary conditions. With the aid of the Flory-Huggins expressions for the chemical potentials together with Equation 29, Cohen and co-workers (Cohen, 1979) calculated, for the first time, the composition paths within the ternary phase diagram and discussed them in relation to the formation of membranes.
5174-5180, ISSN 0032-3861 Moisan, J. Y. (1985). Effects of Oxygen Permeation and Stabiliser Migration on Polymer Degradation, In: Polymer Permeability, J. ), 11-73, Elsevier Applied Science, ISBN 0-85334-322-5, Northern Ireland. , Hedenqvist, M. , Mathot, V. B. F. & Gedde, U. W. (2001). Free Volume and Transport Properties of Heterogeneous Poly(ethylene-co-octene)s. Polymer, Vol. 42, No. 12 , (June 2001), pp. 5307-5319, ISSN 0032-3861 Pereira, A. , Lopes, M. , Timmer, J. M. K. & Keurentjes, J. T.
C c D t x x (2) Equation 2 stands for concentration change of penetrant at certain element of the system with respect to the time ( t ), for one-dimensional diffusion, say in the x-direction. Diffusion coefficient, D , is available after an appropriate mathematical treatment of kinetic data. A well-known solution was developed by Crank at which it is more suitable to moderate and long time approximation (Crank, 1975). Sorption kinetics is one of the most common experimental techniques to study the diffusion of small molecules in polymers.