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) | Hot water | Prandtl number, Pr |
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(b) | Sphere in air | Drag coefficient, CD |
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(c) | Water in a river | Froude number, Fr |
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Properties and definitions for this problem:
Property | Symbol | Units | Air | Water |
Density | ρ | slugs/ft3 | 0.002378 | 1.94 |
Dynamic viscosity | µ | kg/(m s) | 2 × 10–5 | 4 × 10–4 |
Thermal conductivity | k | W/(m K) | 0.025 | 0.7 |
Specific heat | Cp | cal/(g °C) | 0.24 | 1 |
Property | Symbol | Units | Value |
Silhouette Area of object | A | in2 | 120 |
Water depth | H | m | 3 |
Water speed | vw | cm/s | 210 |
Air speed | va | mph | 60 |
Drag Force on sphere | F | N | 30 |
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