In *Pumps & Systems* January 2007, I wrote an article about cavitation and how a collapsing water vapor bubble can damage an impeller. Since then, I have received a number of requests to address Net Positive Suction Head (NPSH) and its relationship to cavitation. Here it is in a very simple, Pump Ed 101 perspective.

The process of boiling is not as simple as it may seem. We tend to think that it is all about temperature and often forget that pressure has an equal role in the process. The point at which water boils is proportional to both its temperature and the pressure acting upon its surface. As pressure decreases, so does the temperature required to initiate boiling.

The onset of cavitation also follows this rule. When water-at some ambient temperature-travels through an area of low pressure, it can undergo a change of state from liquid to vapor (boiling). As it progresses into an area of higher pressure, it will return to the liquid state (cavitation). The bubbles that form and collapse during this process are those of water vapor-not air. Although dissolved or entrained air can affect pump performance, it produces a totally different kind of bubble than the one produced by boiling.

The fact that boiling is proportional to both temperature and pressure is the reason cavitation is such a persistent problem. Simply stated, water can boil at virtually any temperature. At sea level, where atmospheric pressure is about 14.7-psi (34-ft), it takes 212-deg F. Increase that elevation to 6,000-ft and it drops to around 200-deg F because the corresponding atmospheric pressure decreases to 11.7-psi (27-ft). If we introduce a vacuum and continue to reduce pressure to about 0.2-ft, it will boil at its freezing point. Well, so what? We don't usually operate a pump in a vacuum, and even at the top of Mt. Everest we still have almost 5.2-psi (12-ft) of atmospheric pressure!

Well, it turns out that all centrifugal pumps produce a partial vacuum. If they did not, they would be unable to pump water from a lower level. During normal operation, the area of lowest pressure occurs near the impeller vane entrances, and if the pressure in this area drops to about 1-ft, water will boil at 75-deg F! For a pump to operate cavitation free, an excess of pressure energy is required of the water entering this area. We typically refer to this requirement as NPSHR, or the NPSH required. Where does this pressure energy come from? It is a combination of several different forms of energy that exist, at various levels, on the suction side of the pumping system. We refer to this available pressure energy as NPSHA, or the NPSH available.

## NPSHA

The NPSH available to a centrifugal pump combines the effect of atmospheric pressure, water temperature, supply elevation and the dynamics of the suction piping. The following equation illustrates this relationship. All values are in feet of water, and the sum of these components represents the total pressure available at the pump suction.

NPSHA = Ha +/- Hz - Hf + Hv - Hvp

Where:

**Ha** is the atmospheric or absolute pressure

**Hz** is the vertical distance from the surface of the water to the pump centerline

**Hf** is the friction formed in the suction piping

**Hv** is the velocity head at the pump's suction

**Hvp** is the vapor pressure of the water at its ambient temperature

Ha is the atmospheric or absolute pressure exerted on the surface of the water supply. Atmospheric pressure is the pressure due to the density of the earth's atmosphere at some elevation. It develops its greatest pressure (14.7-psi) at sea level (where it is most dense) and approaches zero at its upper boundary. We seldom think about this pressure because, out of the box or on the work bench, the typical pressure gauge reads 0-psi. These gauges are calibrated to something we call "gauge" scale (PSIG) and totally ignore atmospheric pressure. Gauges calibrated to the "absolute" scale (PSIA) include atmospheric pressure and will read 14.7-psi at sea level. The figure below compares these two pressure scales. On the absolute scale, 0-psi equates to a perfect vacuum, but on the gauge scale it equates to atmospheric pressure.

If the water source is a reservoir or an open (or vented) tank, Ha is simply the measured atmospheric pressure. It takes on another dimension if the supply is an enclosed, unvented tank. In this case, Ha becomes the absolute pressure or the sum of the measured atmospheric pressure plus or minus the actual gauge pressure of the air in the tank.

Hz takes into account the positive or negative pressure of the water source due to its elevation. If it is above the pump, Hz is a positive number and if it is below, Hz is negative. Hf is simply the friction generated due to flow in the suction piping and is always a negative number. It is a function of the pipe length and diameter plus the fittings and valves it incorporates.

Hv and Hvp may be a little less familiar to some of us. Hv, or velocity head, is the kinetic energy of a mass of water moving at some velocity V. It is equivalent to the distance that water would have to fall in order to reach that velocity. It can be calculated by determining the velocity in the suction piping from a velocity table and substituting that value for V in the equation "h = V^{2}/2g" (where g is the universal gravitational constant, 32-ft/sec^{2}). It is usually small-at a velocity of 7-fps, Hv is just 0.765-ft-and is often ignored if Ha and Hz are sufficiently large.