Analytical Solution for Binary Mixture Constant Pattern Behavior

1 Analytical Solution for a Binary Mixture under Constant Pattern Behavior 

A more comprehensive analysis of constant pattern behavior for a binary system has been given by Rhee and Amundson [3]. In this work, these authors have extended to binary systems the analysis of the combined effects of mass transfer resistance and axial dispersion that they had previously made in the case of single-component bands [4]. Rhee and Amundson [3] assumed the solid film linear driving force model, finite axial dispersion, and no particular isotherm model. The system of equations becomes 

The equilibrium isotherm must satisfy the following condition  

The solution of this system of equations is a mathematical problem similar to the one encoimtered in the study of the propagation of shock layers in compressible fluids. The shock layer theory developed by von Mises [5] and by Gilbarg [6] can be applied. The treatment is similar to the one previously discussed in Chapter 14, in the case of a single component. The concentration profiles in the shock are given by the system of two nonlinear differential equations (i = 1,2) 

The propagation velocity of the shock layer is the same as the shock velocity of the ideal model 

---

Analytical Solution for Binary Mixture Constant Pattern Behavior.736... 

---