Discussion
If \(\nu\) is the kinematic viscosity of air - water vapour mixture and \(D_{AB}\) is the mass diffusivity of water vapour in air then the ratio \(\nu / D_{AB}\) is known as
Answer: C
The ratio is the Schmidt number.
The Schmidt number compares momentum diffusivity with mass diffusivity: \(Sc = \nu / D_{AB}\). It plays the same role in mass transfer that the Prandtl number plays in heat transfer, and for water vapour in air it is about 0.6.
The Prandtl number is \(\nu / \alpha\), momentum diffusivity over thermal diffusivity. The Stanton number is \(h / (\rho c_{p} V)\), a ratio of heat transferred to heat capacity of the flow. The Sherwood number is \(k_{c}L / D_{AB}\), the dimensionless mass transfer coefficient. Only the Schmidt number is formed from \(\nu\) and \(D_{AB}\) alone.
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