Subtopic: Sherwood and Schmidt numbers physical meaning
Question Statement:
In mass transfer operations, the Schmidt number ($Sc = \frac{\nu}{D_{AB}}$) is the mass transfer analogue of the heat transfer:
Options:
(A) Prandtl number ($Pr$)
(B) Nusselt number ($Nu$)
(C) Reynolds number ($Re$)
(D) Grashof number ($Gr$)
Answer Key:
A
Step-by-Step Solution & Explanation
By transport analogies:
- Sherwood number ($Sh = k_c L / D_{AB}$) is the mass analogue of Nusselt number ($Nu = h L / k$).
- Schmidt number ($Sc = \nu / D_{AB}$) is the mass analogue of Prandtl number ($Pr = \nu / \alpha$).
- Lewis number ($Le = Sc / Pr = \alpha / D_{AB}$) compares thermal to mass diffusivity.