Question 2.2: Danger of Cavitation in a Propeller The analysis of a propel...
Danger of Cavitation in a Propeller
The analysis of a propeller that operates in water at 20°C shows that the pressure at the tips of the propeller drops to 2 kPa at high speeds. Determine if there is a danger of cavitation for this propeller.
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The minimum pressure in a propeller is given. It is to be determined if there is a danger of cavitation.
Properties The vapor pressure of water at 20°C is 2.34 kPa (Table 2–2).
Analysis To avoid cavitation, the pressure everywhere in the flow should remain above the vapor (or saturation) pressure at the given temperature, which is
Pv=Psat@20°C=2.34 kPa
The pressure at the tip of the propeller is 2 kPa, which is less than the vapor pressure. Therefore, there is a danger of cavitation for this propeller.
Discussion Note that the vapor pressure increases with increasing temperature, and thus there is a greater danger of cavitation at higher fluid temperatures.
TABLE 2–2
Saturation (or vapor) pressure of water at various temperatures
Temperature T, °C | Saturation Pressure Psat, kPa |
-10 | 0.26 |
-5 | 0.403 |
0 | 0.611 |
5 | 0.872 |
10 | 1.23 |
15 | 1.71 |
20 | 2.34 |
25 | 3.17 |
30 | 4.25 |
40 | 7.38 |
50 | 12.35 |
100 | 101.3 (1 atm) |
150 | 475.8 |
200 | 1554 |
250 | 3973 |
300 | 8581 |