Surface Kinetics with Pore Diffusion Resistance

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Consider a first order reaction taking place on the surface of a catalyst with cylindrical pores. The relevant equation is

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.

with the following boundary conditions:

at , ,

at , ,

Here is the pore length and is the surface concentration of species . The second boundary condition specifies that there is no flux of material through the interior end of the cylindrical catalyst pores. The concentration of reactant within a pore is given by , where is the Thiele modulus and .

This Demonstration plots the dimensionless concentration versus the dimensionless distance within the pores for user-set values of the Thiele modulus. It also gives the value of the effectiveness factor , where is the average concentration of species in the catalyst pores.

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Contributed by: Housam Binous (March 2011)
Open content licensed under CC BY-NC-SA


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Details

O. Levenspiel, Chemical Reaction Engineering, 3rd ed., New York: John Wiley & Sons, 1999.



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