By Ross Taylor
Addresses using rigorous multicomponent mass move types for the simulation and layout of strategy gear. offers with the elemental equations of diffusion in multicomponent platforms. Describes numerous versions and estimations of premiums of mass and effort move. Covers purposes of multicomponent mass move versions to strategy layout. contains appendices offering worthwhile mathematical heritage. includes a huge variety of numerical examples labored out intimately.
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Extra info for Multicomponent Mass Transfer (Wiley Series in Chemical Engineering)
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18) t ij The positive definiteness requirement of crdiff allows us to derive certain restrictions on the values of the Dtj. If we substitute the GMS relation for dt into Eq. 19) which is quite remarkable for the absence of any thermodynamic factors. 19 was derived by Hirschfelder, Curtiss, and Bird (HCB) (1964) for ideal gas mixtures; the generalization to nonideal fluids was carried out by Standart et al. (1979) using the HCB treatment as a consistent basis. For mixtures of ideal gases the Dtj are composition independent and taking into consideration that Eq.
At mechanical equilibrium we have (from Eq. 26) On eliminating VP from Eq. 25 we have ctRTdt = CiVTtP^ + (<£,. 27) At equilibrium the driving forces and fluxes vanish; dt = 0, (u / - i#y-) = 0. 28) The chemical potential gradients are more conveniently expressed in terms of the composition gradients as ^ V r ) ^ . 4a) where the thermodynamic factors F/y are given by d In y. 5) On combining Eqs. 29) T where M is the mean molar mass of the mixture. For a two component mixture we may simplify Eq. 30) where F = (1 + x1 d In y1/dx1).
1964), Chapman and Cowling (1970), and Cunningham and Williams (1980). An extension to cover diffusion in nonideal fluids is developed thereafter. 1 DIFFUSION IN IDEAL GAS MIXTURES The Mechanics of Molecular Collisions Let us first consider the mechanics of collisions between an average molecule of species 1 and an average molecule of species 2. The molecule of species 1 has velocity u1 and the molecule of species 2 has velocity u2. The momentum of these two average molecules is m1u1 and m2u2 where m1 and m2 are the masses of the respective molecules.