Discussion
Match each dimensionless group with the ratio it expresses.
List I
A. Reynolds number
B. Prandtl number
C. Nusselt number
D. Froude number
List II
1. convective to conductive heat transfer
2. inertial to viscous forces
3. inertial to gravitational forces
4. momentum to thermal diffusivity
Answer: B
Correct answer: A-2, B-4, C-1, D-3
Each group is a ratio of two competing effects. Reynolds compares inertial with viscous forces and decides whether the flow is laminar or turbulent. Prandtl compares momentum with thermal diffusivity, so it says whether the velocity or the temperature boundary layer is thicker. Nusselt compares convective with conductive heat transfer at a surface. And Froude compares inertial with gravitational forces, which governs free surface and wave behaviour.
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