5.4-Cavitation, fluid mech
[ Pobierz całość w formacie PDF ] Cavitation 5.4 Cavitation Cavitation is the phenomenon that occurs when the fluid pressure is reduced to the local vapor pressure and boiling occurs. Under such conditions vapor bubbles form in the liquid, grow, and then collapse, producing shock waves, noise, and dynamic effects that lead to decreased equipment performance and, frequently, equipment failure. Engineers are often concerned about the possibility of cavitation, and they must design flow systems to avoid potential problems. Besides its deleterious effects on machinery, cavitation can also be beneficial. Cavitation is responsible for the effectiveness of ultrasonic cleaning. Supercavitating torpedoes have been developed in which a large bubble envelops the torpedo, significantly reducing the contact area with the water and leading to significantly faster speeds. Cavitation plays a medical role in shock wave lithotripsy for the destruction of kidney stones. Cavitation typically occurs at locations where the velocity is high. Consider the water flow through the pipe restriction shown in Fig. 5.11. The pipe area decreases, so the velocity increases according to the continuity equation and, in turn, the pressure decreases as dictated by the Bernoulli equation. For low flow rates, there is a relatively small drop in pressure at the restriction, so the water remains well above the vapor pressure and boiling does not occur. However, as the flow rate increases, the pressure at the restriction becomes progressively lower until a flow rate is reached where the pressure is equal to the vapor pressure as shown in Fig. 5.11. At this point, the liquid boils to form bubbles and cavitation ensues. The onset of cavitation can also be affected by the presence of contaminant gases, turbulence and viscosity. Figure 5.11 Flow through pipe restriction: variation of pressure for three different flow rates. The formation of vapor bubbles at the restriction is shown in Fig. 5.12 a . The vapor bubbles form and then collapse as they move into a region of higher pressure and are swept downstream with the flow. When the flow velocity is increased further, the minimum pressure is still the local vapor pressure, but the zone of bubble formation is extended as shown in Fig. 5.12 b . In this case, the entire vapor pocket may intermittently grow and collapse, producing serious vibration problems. Severe damage that occurred on a centrifugal pump impeller is shown in Fig. 5.13, and serious erosion produced by cavitation in a spillway tunnel of Hoover Dam is shown in Fig. 5.14. Obviously, cavitation should be avoided or minimized by proper design of equipment and structures and by proper operational procedures. 1 of 3 1/15/2009 12:26 AM Cavitation Figure 5.12 Formation of vapor bubbles in the process of cavitation. (a) Cavitation. (b) CavitationÏhigher flow rate. Figure 5.13 Cavitation damage to impeller of a centrifugal pump. 2 of 3 1/15/2009 12:26 AM Cavitation Figure 5.14 Cavitation damage to a hydroelectric power dam spillway tunnel. Experimental studies reveal that very high intermittent pressure, as high as 800 MPa (115,000 psi), develops in the vicinity of the bubbles when they collapse 1. Therefore, if bubbles collapse close to boundaries such as pipe walls, pump impellers, valve casings, and dam slipway floors, they can cause considerable damage. Usually this damage occurs in the form of fatigue failure brought about by the action of millions of bubbles impacting (in effect, imploding) against the material surface over a long period of time, thus producing a material pitting in the zone of cavitation. The world's largest and most technically advanced water tunnel for studying cavitation is located in Memphis, TennesseeÏthe William P. Morgan Large Cavitation Tunnel. This facility is used to test large-scale models of submarine systems and full-scale torpedoes as well as applications in the maritime shipping industry. More detailed discussions of cavitation can be found in Brennen 2 and Young 3. Copyright ¨ 2009 John Wiley & Sons, Inc. All rights reserved. 3 of 3 1/15/2009 12:26 AM
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