Coke formation parallel mechanism

Figure L Profiles relevant to simple parallel mechanism of coke formation a - rate of blocking the active sites versus normalized distance from the pellet centre b - fraction of blocked sites versus normalized distance from the pellet centre ...

In a previous work [8], neither parallel or series coking mechanism was found to be satisfactory because the predominant fouling mechanism changes with temperature. Since the dehydrogenation reaction and coking formation takes place on the same type of active sites, a combined parallel and series mechanism is assumed in which ())( can be expressed in terms of process temperature, process time and the concentration of the respective foulents, as -c(t>T)= k(-B YcbCT) PB(t) + kcD Ycd(T) Pd(0 (2)... 

Equations (4-147) and (4-148) describe the conversion and coke profiles in an isothermal reactor subject to deactivation by coke formation via a parallel mechanism. Derive the corresponding equations for deactivation via a series mechanism. 

---