Multicomponent Mass Transfer (Wiley Series in Chemical by Ross Taylor

By Ross Taylor

Addresses using rigorous multicomponent mass move types for the simulation and layout of method gear. offers with the fundamental equations of diffusion in multicomponent platforms. Describes a number of versions and estimations of charges of mass and effort move. Covers purposes of multicomponent mass move versions to technique layout. comprises appendices supplying worthy mathematical history. encompasses a huge variety of numerical examples labored out intimately.

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Example text

The simplest multicomponent mixture is one containing three components, a ternary mixture. In a three component mixture the molecules of species 1 collide, not only with the molecules of species 2, but also with the molecules of species 3. The result is that species 1 transfers momentum to species 2 in 1-2 collisions and to species 3 in 1-3 collisions as well. We already know how much momentum is transferred in the 1-2 collisions and all we have to do to complete the force-momentum balance is to add on a term for the transfer of momentum in the 1-3 collisions.

8 will not alter the value of crdm, an expected and pleasing result because only relative motions of the various species are important in the description of the diffusion process. 14) Eliminating the molar average velocity u using Eq. 6 allows us to write Eq. 14 in terms of the relative velocities (ut — Uj) as "diff = ~ — n E E dt • («,. 15) /=W= l We may use Eq. 15 as the starting point for developing our constitutive relations rather than the conventional Eq. 8. The first postulate of irreversible thermodynamics is that the fluxes (or dependent variables) are directly proportional to the driving forces (or independent variables).

1. 2 summarizes the most commonly used reference velocities. 2 ua Reference Velocities0 Arbitrary mixture velocity, weighting factor at n n »a = E w v E **• = * Mass average mixture velocity, weighting factor o)i i=\ i=1 u Molar averaged reference velocity, weighting factor xt uv Volume averaged reference velocity, weighting factor , wr Velocity of species r, weighting factor 8ir, where 8ir is the Kronecker delta 8ir = 1 if i == r 8ir = 0 if i # r "Units are in meters per second [m/s]. The sum of these fluxes gives n a i E x—J?

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