Calculate the numerical value of each of the dimensionless parameters listed in the table. Be sure to check that the ratio is actually dimensionless after you insert the values.
| Situation | Name | Expression | Value |
(a) | Air over a flat plate | Nusselt number, Nu |
| |
(b) | Water: Effect of surface tension | Weber number, We |
| |
(c) | Wind making a wire “sing” | Strouhal number, St |
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Properties and definitions for this problem:
Property | Symbol | Units | Air | Water |
Density | P | slugs/ft3 | 0.002378 | 1.94 |
Heat transfer coefficient | h | W/(m2 °C) | 20 | ---- |
Thermal conductivity | k | W/(m K) | 0.025 | 0.7 |
Surface tension | σ | dynes/cm | ---- | 70 |
Property | Symbol | Units | Value |
Plate length | L | ft | 2 |
Depth of water film | d | cm | 3 |
Water speed | vw | cm/s | 210 |
Air speed | va | mph | 60 |
Oscillation frequency | ω | Hz (or cycles/s) | 140 |
Wire diameter | Dwire | mm | 20 |
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