On the relationship between Aris and Sherwood numbers and friction and effectiveness factors

We present a general solution of the diffusion–reaction problem for linear kinetics and an expression for the effectiveness factor (η) in terms of the shape normalized Thiele modulus (Φ) for a catalyst particle of arbitrary shape and with an arbitrary activity profile. We also show that the Sherwood number (ShΩ) or the dimensionless mass transfer coefficient between the interior of a particle or region (denoted by Ω) and its boundary (∂Ω) is...