numerical analysis of the optimal catalyst distribution in created unsteady state conditions

the determination of the optimal distribution of the catalytic activity profile, whichmaximizes the catalytic effectiveness, in created unsteady state conditions, is analyzed andtreated numerically for the case of a simple reaction. it was proven that the modulation, of thetemperature and the reactant concentration of the external bulk fluid, leads to a considerableincrease of the catalytic effectiveness. the optimal active element distribution is a dirac- δfunction i.e. all the catalyst must be deposited at a specific distance from the center of thecatalytic pellet. it was shown that this optimal position changes with time in a sinusoidal manner.this purpose can be achieved by the use of ultrasounds to artificially control the activity profile.