“…Of these models, the kinetic model proposed by Sheel and Crowe (1969) has been widely used (Clough & Ramirez, 1976;Elnashaie, Abdalla & Hughes, 1993;Abdalla, Elnashaie, Alkhowaiter & Elshishini, 1994;Savoretti, Borio, Bucalá & Porras, 1999). Pseudo-homogeneous model had been used by most researchers for simulation and optimization of industrial reactors (Sheel & Crowe, 1969;Clough & Ramirez, 1976;Sheppard et al, 1986;Savoretti et al, 1999). Elnashaie et al (1993) developed a rigorous heterogeneous model based on dusty gas model.…”