Sherwood number, Sh, is the dimensionless group for convective mass transfer in fluid flow. It is defined as
where P is mass transfer coefficient, δ diffusivity, and L the representative dimension (e.g., diameter for tubes).
Sherwood number represents the ratio between mass transfer by convection (β) and mass transfer by diffusion (δ/L). It is the mass transfer equivalent of Nusselt Number, Nu, and is a function of Reynolds Number, Re, and Schmidt Number, Sc.
In the special case when
where f0 is the Fanning Friction Factor.
Hewitt, G. F, Shires, G. L., and Bott, T. R. (1994) Process Heat Transfer, CRC Press.