Nonisothermal spherical catalyst particle

Consider the nonisothermal porous spherical catalyst particle of radius R in which a single, irreversible, first-order reaction takes place at steady state (Figure 2.11). Taking the same spherical shell of thickness Ar at a radius r from the center, the steady-state energy balance over a differential shell of volume 4nt Ar includes conduction into and out of the control volume in the radial direction as well as heat release by reaction within the control volume ... 

FIGURE 5.25 Nonisothermal effectiveness factors for a first-order reaction in a spherical catalyst particle. (Data from Weisz, P.B. and Hicks, J.S., Chem. Eng. Sci., 17,265-275,1962.)... 

The reaction rate constant is temperature dependent. For nonisothermal systems, one should take into account the energy balance. Moreover, catalyst properties such as the specific surface area and the pore volume must be known. In this system, a spherical particle has been considered. 

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