By Ross Taylor
Addresses using rigorous multicomponent mass move types for the simulation and layout of procedure gear. offers with the elemental equations of diffusion in multicomponent structures. Describes quite a few versions and estimations of charges of mass and effort move. Covers functions of multicomponent mass move types to technique layout. comprises appendices delivering worthy mathematical historical past. includes a huge variety of numerical examples labored out intimately.
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Extra resources for Multicomponent Mass Transfer (Wiley Series in Chemical Engineering)
13, only two are independent due to the restriction Vx1 + Vx2 + Vx3 = 0. It is interesting to note that for a binary system, this restriction is sufficient to prove that D12 = £)21. 14) Let us return to Eq. 11 and consider its physical significance. This equation states that the driving force d1 of component 1 arises from the frictional drag of molecules of the first constituent moving past (through) those of the constituent 2 with a relative velocity (ul - i#2), concentration weight factor xxx2, and drag coefficient 1/D12 and of the molecules of the first constituent moving past (through) those of constituent 3 with a relative velocity (iij - i#3), concentration weight factor x1x3, and drag coefficient 1/£)13.
The driving force dt reduces to (l/P)Vpi for ideal gases, as it should. , Modell and Reid, 1983); this means that only n — 1 driving forces are independent. Chemical potential gradients are not the easiest of quantities to deal with. 4) where yi is the activity coefficient of species / in the mixture and where „ d ln . 5) T,P,X The symbol 2 is used to indicate that the differentiation of In % with respect to mole fraction Xj is to be carried out while keeping constant the mole fractions of all other species except the nth.
The column matrix ( / ) is h Jn-l and (d) is a column matrix of order n — 1 defined by 00 s Now, if we premultiply Eq. 25) For a two component system all matrices become scalars and Eq. 26) where B is obtained from Eq. 27) Eq. 27 allows us to rewrite Eq. 28) which is just another way of writing Eq. 8. 4, is a simple device sometimes used for measuring diffusion coefficients in binary vapor mixtures. In the bottom of the tube is a pool of quiescent liquid. The vapor that evaporates from this pool diffuses to the top of the tube.