One-Dimensional Models for Fixed-Bed Reactors

For packed columns with single-phase flow, the Ergun equation can be used for the momentum balance and is  

8 (1969) 280] provided a correction factor to the Ergun equation to consider both the frictional losses from the wall and the packing, and their friction factor expression is  

Solution of Equation (10.2.1) provides the pressure, temperature, and concentration profiles along the axial dimension of the reactor. The solution of Equation (10.2.1) requires the use of numerical techniques. If the linear velocity is not a function of z [as illustrated in Equation (10.2.1)], then the momentum balance can be solved independently of the mass and energy balances. If such is not the case (e.g., large mole change with reaction), then all three balances must be solved simultaneously. 

Kehoe and J. B. Butt [AIChE J., 18 (1972) 347] have studied the kinetics of benzene hydrogenation on a Ni/kieselguhr catalyst. In the presence of excess dihydrogen, the reaction rate is given by  

Price and J. B. Butt [Chem. Eng. Sci., 32 (1977) 393] investigated this reaction in an adiabatic, fixed-bed reactor. Using the following data  

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