ASHRAE Journal Avoiding Cavitation In Control Valves By Bengt Carlson the valve would suggest. However, this condition is hardly a realistic concern in HVAC applications handling liquids because the more serious problem of cavitation occurs first. C ontrol valves usually are sized by picking a valve with a flow coefficient (Cv) that produces the desired pressure drop. Mark Hegberg’s Practical Guide article from the November 2000 Formula ASHRAE Journal addresses this aspect of valve sizing. The point when cavitation becomes While Cv and pressure drop are important, they are not the only considerations. Sometimes cavitation can occur, resulting in noise and rapid deterioration of the valve trim. In extreme cases, cavitation can even limit the maximum flow through the valve. This happens in cases where the differential pressure is too high compared to the outlet pressure. It is not common in HVAC applications, but it can happen. We need to know how to design to prevent cavitation and what to do when it occurs. General Cavitation is a perplexing phenomena that sometimes occurs in hydronic systems. It can occur in pumps, heat exchangers and other parts. This text focuses on valves and how cavitation can be eliminated. Usually cavitation manifests itself with sharp noise. It sounds like gravel passing through the valve. Cavitation also shortens the life of the valve. Usually the valve trim is destroyed prematurely, but the valve body and the piping downstream of the valve also can be affected. Pipe as far away as 20 diameters downstream of the valve can be affected. When a liquid passes through a pipe, the velocity is comparatively low because of the relatively large cross section. As the liquid passes through a restriction such as an orifice or valve seat, its velocity increases. An increase in velocity increases dynamic pressure, which reduces the static pressure. This exchange of static pressure 58 ASHRAE Journal for dynamic pressure is an application of Bernoulli’s law: p v ∆ + + gz = 0 2 ρ damaging can be expressed by the following formula: Km = 2 If the velocity is high enough, the pressure at the restriction can drop below the vapor pressure of the liquid and form vapor bubbles. As the liquid moves downstream past the restriction, the flow area opens up to the cross section of the pipe, and the velocity decreases. This reduces the dynamic pressure and increases the static pressure. The downstream static pressure is normally higher than the vapor pressure of the liquid. Therefore, the bubbles or cavities of vapor implode (see Figure 1). When a bubble implodes, all the energy is concentrated into a very small area. This creates tremendous pressure (thousands of psi) in the small area, generating minute shock waves. These shock waves pound on the solid portions of the valve. Repeated implosions on a small surface eventually cause fatigue of the metal and wear away this surface. Moderate cavitation can be permissible in a control valve. This causes little damage to the valve. However, increasing cavitation will become detrimental to the valve trim and possibly to the valve body. Also, excessive cavitation can begin to “choke” the flow through the valve. The flow rate will be drastically reduced compared to what the differential pressure and the Cv of dP max (P1 – Pv ) Where: Km = valve recovery coefficient. Some control valve manufacturers refer to a liquid pressure recovery factor, F L . Km = FL2. P1 = absolute inlet pressure (psia) Pv = absolute vapor pressure of liquid (psia) dP max = maximum allowable pressure drop through the valve (psi) The valve recovery coefficient, Km, depends on the design of the valve. It is always less than 1. Table 1 gives approximate values of Km for common types of valves. Table 2 shows the vapor pressure for water, which is used to calculate the onset of cavitation. For typical HVAC valves such as globe and control ball valves, a valve recovery factor of Km = 0.5 – 0.6 can be expected. If Km is not known, a conservative estimate of Km = 0.5 should be used. The cavitation formula can be rearranged as follows: dP allowed = 0.5 ´ (P1 – Pv) Example 1: dP max = 10 psi (69 kPa) P1 = 20 psig = 34.7 psia (239 kPa) Pv = 9.3 psia (64 kPa) for About the Author Bengt Carlson is a consultant, primarily for Belimo Aircontrols (USA). w w w. a s h r a e j o u r n a l . o r g June 2001 Valves 190°F Valve Inlet (88°C) Valve Outlet Valve Type Km Pressure Pressure Pressure water. Globe Valve 0.50 P1 dP allowed = 0.5 ( 34.7 – 9.3) = 12.7 psi V P o r t B a l l , P 0.40–0.45 P2 (88 kPa) Characterized Disk The recommended pressure drop for this valve Standard Ball, 0.25–0.30 would probably be 4 to 10 psi (28 to 69 kPa). CavitaButterfly tion would not be a problem in this application. Table 1: Approximate valve Distance Example 2: dP max = 10 psi (69 kPa) recovery coefficients (Km). Figure 1a: Pressure drop accross a control valve P1 = 10 psig = 24.7 psia (170 kPa) Vapor Pv = 9.3 psia (64 kPa) for 190°F (88°C) Temperature Pressure Valve Inlet Valve Outlet water. (°F/°C) (psia/kPa) dP allowed = 0.5 (24.7 – 9.3) = 7.7 psi P1 32/0 0.09/0.62 (53 kPa) P P2 The pressure drop across the valve must be less than 4/4.4 0.12/0.83 7.7 psi (53 kPa) or cavitation will occur. 50/10.0 0.18/1.2 Pv A high outlet pressure is advantageous for all 75/23.9 0.43/3.0 valves. Outlet pressure plus the differential pressure Distance is the inlet pressure, P1. For a given pressure drop, 100/37.8 0.95/6.6 the higher the outlet pressure, the higher the inlet Figure 1b: Normal Conditions 125/51.7 1.9/13 pressure, P1, and the greater the margin to avoid caviValve Inlet Valve Outlet tation. 150/66 3.7/26 A low vapor pressure (Pv) is also advantageous. P1 175/79 6.7/46 When calculating vapor pressure (Pv), take any glyP col concentration into account. Glycol lowers the vaP2 190/88 9.3/64 por pressure of the mixture, which is advantageous. 200/93 11.5/79 Pv A low-pressure drop through the valve (dP) is advantageous for avoiding cavitation, but it should not 210/99 14.1/97 be changed. The pressure drop through the valve is Distance 212/100 14.7/100 chosen for valve controllability (usually 4 to 10 psi Figure 1c: Cavitation Conditions [28 to 69 kPa]). Figure 1: Pressure profile across a Table 2: Vapor pressure of Excessive flow causes high-pressure drop across the valve. water. valve. Sometimes valves are accused of cavitating when the problem is that the flow is inadvertently higher than speci- expansion tank. If the system has a conventional expansion tank, fied. Calibrated balancing devices can provide a way to measure it must be located high enough in the system to provide the dethe flow and limit it to the design value. sired pressure at the valve outlet. Figure 2 shows a cavitation diagram for a particular valve. EuValves located at the top of the building tend to cause a probropean valve manufacturers often provide this information. The fig- lem. Outlet pressure decreases as elevation increases and the colure shows the relationship between the incoming pressure and the umn of water above the valve decreases. allowable differential pressure. By entering the chart with the inThe expansion tank should be about half full with water. An coming pressure (P1) and the temperature of the flowing fluid, the empty tank with the bladder fully expanded exerts no pressure at allowable differential pressure can be determined. all to the rest of the system, regardless of the fill pressure (see Figure 3). Solution Figure 3 shows that the expansion tank is fully expanded so does Suppose we calculate the maximum allowable differential pres- not exert any pressure on the system. The overall system pressure sure and find that it is not high enough for the application. What is low, and the outlet pressure on the upper valve is low (0 psig). can we do? This system allows only 5.2 psi (36 kPa) pressure drop across the The answer depends on whether we have a closed system or valve, assuming 190°F (88°C) water. an open system. Closed systems present few problems. Open sysFigure 4 shows a normal expansion tank. It is half full with a tems, such as cooling tower bypass, are more difficult. half compressed diaphragm that exerts pressure on the system. This system will allow a differential pressure of 16.7 psi (115 kPa), Closed Systems assuming 190°F (88°C) water. Differential pressure (dP) should be as low as possible without If the problem persists even when the expansion tank is propsacrificing valve controllability. To accomplish that goal, the in- erly filled, the system pressure can be raised by increasing the prelet pressure (P1) must be high enough. charge pressure of the expansion tank. Of course, stay within the The inlet pressure is the sum of the pressure drop and the out- relief valve setting and safe limits for the system. A properly funclet pressure. If the system has a bladder type expansion tank, the tioning expansion tank with a sufficiently high fill pressure solves outlet pressure can be increased by raising the fill pressure in the many cavitation problems. June 2001 ASHRAE Journal 59 ASHRAE Journal Static pressure upstream valve Psi 240 356°F 320°F 284°F 5 psi 248°F 5 psi 5 psi 1 psi 212°F 210 0 psi 11 psi Coil 68°F 0 psi 0 psi 180 1 psi friction + 10 psi elevation 150 1 psi 5 psi 5 psi 10 psi 3 psi 22 psi 9 psi Coil 120 90 10 psi 15 psi 4 psi friction + 5 psi elevation 4 psi 60 3 psi 24 psi 15 psi 30 Boiler 15 psi 10 psi 10 psi 0 0 10 20 30 40 50 60 70 80 90 100 110 Pressure drop Psi 31 psi Cv * pressure with pump off Figure 2: Control valve cavitation diagram. Figure 3: Effect of inadequate expansion tank fill. Open Systems Open systems, such as cooling tower bypasses, present a challenge. High velocity is often the origin of problems in cooling tower bypass valves. Decreasing it may be possible. A ball or butterfly valve need not be fully open. Limiting the valve opening reduces the flow and the resulting velocity in the bypass. The valve recovery factor (Km) also increases when a ball or butterfly valve is slightly throttled. Ball and butterfly valves normally have such high capacity that limiting their stroke is not a problem. It is also possible to raise the outlet pressure by locating the bypass valve at a level significantly lower than the cooing tower. Figure 5 shows the bypass valve at an elevation not much below the water level in the cooling tower sump. The outlet pressure on the valve will be very low. Figure 6 shows the bypass valve at a much lower elevation. There is a substantial water column between the valve and the cooling tower sump to create a sufficient outlet pressure. A balancing valve (CBV-1) should be installed in series with the bypass valve so the bypass flow is correct. The balancing valve is especially important. Without it, the pressure in the bypass line is less than in the riser. Pump pressure should not be higher than what is required to supply the design flow to the cooling tower. Keeping the pump pressure low avoids a large differential pressure across the valves. A balancing valve (CBV-2) should be installed. Location of Control Valves Heating coils should have their control valve downstream of the coil. From a cavitation point of view, valve location is not important. On one hand, the water temperature and vapor pressure are lower at the coil outlet. On the other hand, the outlet pressure is higher if the valve is on the coil inlet. Avoiding overheating the actuator is a more important reason to locate the valve downstream of the coil. Cooling coils should also have their control valves downstream 60 ASHRAE Journal June 2001 7 psi 28 psi 5 psi 1 psi 5 psi 23 psi 34 psi Coil 5 psi 1 psi 5 psi 1 psi friction + 10 psi elevation 3 psi 32 psi Coil 45 psi 4 psi friction + 5 psi elevation 4 psi 30 psi 3 psi 24 psi Boiler 54 psi 33 psi 30 psi Figure 4: Properly filled expansion tank provides sufficient pressure to avoid cavitation. Cooling Tower P2 CBV-1 Figure 5: Inadequate column of liquid above valve makes P1 too low. w w w. a s h r a e j o u r n a l . o r g Valves of the coil, at least if the actuator is electric. From a cavitation point of view, it can be argued that the valve should be installed upstream of the coil where the vapor pressure is lower and the outlet pressure is higher. That benefit is very minor. The reason for installing the actuator downstream is to avoid condensation on the actuator. Cavitation, if it occurs, can be solved by raising the fill pressure in the expansion tank. Cooling Tower Figure 6: Cooling tower bypass and balancing valve arrangement to avoid cavitation. P2 Special Applications There are some special cases, such as hot water district heating for example, where cavitation problems cannot be solved by raising the pressure. In those cases special industrial-style valves are needed. These valves have a higher valve recovery coefficient. They also have special trim that reduces the water pressure in two or more stages. Sometimes the trim has a labyrinth design. Conclusion Cavitation problems often can be solved by raising the pressure at the valve outlet. This normally can be done by adjusting the fill pressure on the expansion tank. The likelihood that valves will cavitate depends on how far they are open to pass design flow. Globe and control ball valves are at lesser risk than butterfly and standard ball valves. Valves handling hot water and valves located near the top of the CBV-1 CBV-2 system are prone to cavitation. This is because there is no column of water above the valve making the outlet pressure low. Cavitation increases at low outlet pressure, high-pressure drop, high water temperature, and when using unsuitable valve designs. Bibliography 1. Clifford, G.E. 1984. Heating Ventilating and Air Conditioning. 2. Neles-Jamesbury Bulletin T150-1. 3. Johnson Control Engineering Data Book, Vb:4 General Valve Data. 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