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 kPaP_v = P_{sat@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
PsatP_{sat}, 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

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