Assuming that the flow rate of your reactant is kept constant, varying the catalyst bed length and consequently its mass/volume changes the space velocity that you are operating at. Depending on the reaction that you are interested in, the space velocity would be defined as either liquid hourly space velocity (LHSV), gas hourly space velocity (GHSV) or weight hourly space velocity (WHSV). Varying these factors is quite common in heterogeneously catalyzed reactions, and hopefully you should be able to find some data to suit your needs.
Thanks Ville for the response...however, i want to keep the catalyst weight constant..that means changing only the reactor volume. does this effect the reaction?
For a packed bed reactor, the only way to change the packed volume while keeping catalyst weight constant is to change the bed density. Is that what you mean?
The problem is connected with the effect of axial dispersion (assuming flat velocity profile, which requires quite high ratio Dreactor/Dpellets, min 15 - 20). An analytical expression is given in textbooks, f.ex. see Chemical Reactor Engineering, by O. Levenspiel, Ch.13 The dispersion model. Shorter bed length will give lower conversion, the amount (volume) of the catalyst being the same. At least 7-8 ideal mixing cells in chain is required for approaching the plug flow regime. One pellets layer could be assumed to be one perfect mixing cell.
Now I know what you what. For homogeneous reactions, the minimum entrance lenth is L/D = 10, so as to rule out axial diffusion as a confounding factor in your data. For packed beds of catalysts particles having a diameter, dp, the minimum bed length is L >20 dp.
If you want to change the catalyst bed length,then the space velocity will change. As a result,the reaction rate will be affected. But if you fix the weight of the catalyst, then the bed height will not change for particular reactor volume.
If you want to change the reactor volume with fixed catalyst weight then automatically bed height will changed. As a result, the space velocity will changed.