One-Dimensional Model with Axial Mixing

Accounting for the velocity profile is practically never done, because it immediately complicates the computation in a serious way. In addition, very few data are available to date and no general correlation could be set up for the velocity profile (Schwartz and Smith [85], Schertz and Bischoff [40], Cairns and Prausnitz [41], and Mickley et al. [42]). 

The steady-state continuity equation for a component A may be written  

Axial mixing smoothens axial gradients of concentration and temperature so that it decreases the conversion obtained in a given reactor, in principle at least. 

The boundary conditions have given rise to extensive discussion [52, 53, 54, 55, 56]. Those generally used are  

Luss later refined these conditions and arrived at [59] 

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