Discussion
The left hand column lists some non-dimensional numbers and the right hand column lists some physical phenomena. Indicate the correct combination
| 1. Reynolds number | i. Wave drag |
| 2. Froude number | ii. Compressible flow |
| 3. Mach number | iii. Viscous drag |
| 4. Weber number | iv. Spray formation |
Answer: A
The correct combination is 1-iii, 2-i, 3-ii, 4-iv.
- Reynolds number (inertia/viscous forces) governs viscous drag.
- Froude number (inertia/gravity) governs free-surface flows, and so the wave drag of ships.
- Mach number (flow speed/speed of sound) measures compressibility of the flow.
- Weber number (inertia/surface tension) governs droplet break-up and so spray formation.
The other options misplace at least two of these pairs; for example, one assigns the Reynolds number to wave drag and the Froude number to compressible flow, and another pairs Mach number with both spray formation and viscous drag.
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