Asymptotic Effectiveness Factors for Arbitrary Kinetics

Even for arbitrarily reaction kinetics, useful semianalytical expressions can be derived for the effectiveness factor. Here, we will restrict ourselves to the flake-formed geometry (s = 0). 

The dimensionless coordinate, X = r/i , and the dimensionless concentration,)/ = q/c, are introduced. Equation 5.106 is thus transformed to 

By taking into account the definition of the Thiele modulus. Equation 5.109, a new form of the equation describing the effectiveness factor is obtained  

The surface concentration, y , is affected by the diffusion resistance in the fluid film around the catalyst particle. 

After setting the fluxes at the outer surface of the catalyst equal (x = 1), 

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