Evaluation of a Kernel Associated with Laminar Flow Tubular Catalytic Reactors

Introduction. Katz [2] has proposed a method of analysis of tubular catalytic reactors which, in principle, will allow the determination of the actual kinetics of the surface reaction even in the presence of a moderately slow rate of diffusion to and from the surface. The catalyst is deposited on the tube wall and the reacting fluid allowed to flow past under conditions of known hydrodynamics. The reader is referred to the original paper for further details. A case of particular importance is that for which flow is laminar. For this case, the analysis yields an integral equation involving a kernel (i) Mie) = Off/a») Ui where Hiy, 8) is defined by