Writing the Equation in Dimensionless Form

We now introduce dimensionless variables p and X. so that we may arrive at a parameter that is Ifequently discussed in catalytic reactions, the Thiele modulus. Let 

We now rewrite the differential equation for the molar flux in terms of oin dimensionless variables. Starting with 

Then differentiate Equation (12-12) with respect to 9 and Equation (12-13) with respect to r, and substitute the resulting expressions, 

At steady state, the net flow of species A that enters into the pellet at the external pellet smTace reacts completely within the pellet. The overall rate of 

The totd rate qf reaction is therefore equal to the total molar flow of A into the catalyst pellet. 

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Eor further analysis of Eq. (4), it is advantageous to write the equations in dimensionless form. Transforming the variables according to... 

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