COLUMN | Common Pumping Mistakes

NPSHr Is Different for Positive Displacement Pumps

JIM ELSEY | Summit Pump Inc.

| IMAGE 1: NPSHa formula (Images courtesy of the author)

I received a question from a regular reader of my column. Following is the abridged email and my response.

Email Received

Subject: NPSHr in Positive Displacement (PD) Pumps

Professor Elsey, first I want to thank you for your teachings and the quality of your articles. I am a mechanical engineer, and I have a question regarding the net positive suction head required (NPSHr) for positive displacement pumps. I haven't seen or found any information from the manufacturer that provides this data. So, how can cavitation be checked in these types of pumps if I can't compare the NPSHr with the net positive suction head available (NPSHa)?

Response

Dear (name withheld),

Thank you for the nice compliment, and I am glad that you find my articles informative. First, I must point out that I am not a “professor,” but I am a teacher, and I was, am and always will be a student. Your question is excellent, one that most people overlook.

NPSHr as it pertains to positive displacement (PD) pumps is one of those subjects that usually gets ignored until there is a problem in the field. The short answer to your question is that NPSHr for PD pumps is a complex variable, strongly dependent on the pump’s field installation position and as a function of the flow rate (pump speed).

The typical field problem will be due to suction side conditions caused by unanticipated friction losses, acceleration head and/or acoustic resonance issues in the piping. The friction issues are usually due to the pipe geometry, e.g., diameter too small, length too long or configuration too torturous. Other problems may be due to the traditional vapor pressure or suction pressure (head) deficiencies that occur on many pump systems (insufficient NPSHa resulting in cavitation).

You do not mention the manufacturer or type of PD pump in question. I am most familiar with piston and plunger type PD pumps (power pumps) so I will focus there, but my comments apply in general across the spectrum of PD pump types (gear, lobe, vane, diaphragm, screw, progressive cavity and, to a lesser degree, peristaltic).

The pump manufacturer should follow industry standards for testing. Hydraulic Institute (HI) and American National Standards Institute (ANSI) have a standard that both defines and explains the procedures, tests and formulas for determination of NPSHr for PD pumps. You may also reference American Petroleum Institute (API) 674 and International Organization for Standardization (ISO)13710.

If the manufacturer of the pump in question is a legitimate OEM, they will have documentation pertaining to the NPSHr for the pump in question. The manufacturer may not publish the data in public forums, but the engineering department will have the applicable pump test results. You will need to contact them directly and request the information.

PD Pumps Are Different

It is important to understand that NPSHr is different for a PD pump than for a centrifugal pump. For starters, the NPSHr for PD pumps is designated as net positive inlet pressure required (NPIPr). NPIPr is measured or calculated similarly to NPSHr, but the acceleration head for the system is also taken into consideration.

When testing a centrifugal pump for NPSHr, the NPSHa is reduced while simultaneously maintaining the flow rate (Q) at some fixed value, and the total dynamic head (H) is monitored to watch for a 3% head drop due to cavitation. The 3% head drop is the marker for NPSH3, also normally designated as NPSHr. However, when testing a PD pump, that centrifugal pump technique will not work because the head (pressure) developed by the PD pump is a different function. Consequently, the designated cavitation marker for PD pumps is a 3% volumetric drop in flow rate (Q) as opposed to the 3% head drop in centrifugal pumps.

As a side note, most commercial manufacturers use the 3% drop because anything less is very difficult to distinguish. Some purists will push for markers at a 1% drop, which is a path littered with good intentions but fraught with issues of inaccuracy. It is important to realize that in both PD and centrifugal pumps, the 3% drop (either head for centrifugals or volume for PDs) means the pump is already cavitating prior to that point.

| IMAGE 2: Acceleration head formula

Further

PD pump manufacturers are less concerned about NPSHr for PD pumps tested in the factory as compared to centrifugal pumps, because NPIPr (NPSHr) changes so much in the field due to the suction piping geometry, pump speed, liquid viscosity, specific gravity and acceleration head—not to dismiss any of the normal considerations (factors) as evidenced in the NPSHa formula. A published NPSHr curve by the PD pump manufacturer is only accurate for the conditions under which it was tested in the factory; the results will be different in the field.

Even taking acceleration head (expressed as Ha or h acceleration) into consideration does not always predict the true NPIPr, so the manufacturer will often integrate a term known as net positive suction head field (NPSHf).

NPSHf will also account for the power density index (PDI) and suction valve pressure drop, all in conjunction with the other remaining standard variables in the NPIPr/NPSHr computation (see NPSHa formula in Image 1).

More and more, pump manufacturers will rely on computational fluid dynamics (CFD) for the actual NPIPr number and/or measure it in the field (empirically) under actual and true conditions.

Always keep in mind that NPSHa/r calculations are not exact or fixed and will always be changing. I hope this information helps you to better understand the subject. I wish you the best of luck in your endeavor.

Additional Information for the Reader

NPSHr and NPIPr for PD pumps

NPSHr is expressed as a pressure (force) in lieu of head (energy) because we must consider the force required to open the suction valve(s). The force is a function of pressure, not head. The units are not pounds per square inch gauge (psig) or pounds per square inch absolute (psia) as you might expect, but simply the pressure above vapor pressure.

NPSHf

NPSHf is both installation and application specific. It is important to realize that NPSHf is a metric measured in the field with the pump operating, so it is a dynamic measurement, while NPSHa is a calculation based on the system at a static condition.

Power density index

PDI is used by engineers to predict pump suction performance. It is a function of the liquid horsepower divided by a complex factor computed from the piston stroke length, number of pistons and the strokes per minute. PDI is a measure of the power exerted onto the liquid.

System design

To avoid cavitation and/or off gassing issues, design the suction system with the shortest possible length of pipe and of the correct diameter with no high points (traps). If high points can’t be avoided, then use vents at those locations. Some liquids have a strong tendency to “off gas” when subjected to the low pressures in the suction line. A prime example is sodium hypochlorite.

For exceptional cases like this, I suggest that an expert be utilized to design the piping layout. If the suction line must be long in length, then the use of inlet stabilizers is recommended. Stabilizers may manifest in the form of a pulsation dampener, acoustic filter or an accumulator. Early in my career, I was involved with a PD system of significant size that used standpipes adjacent to the suction side of the pump. I was not involved in the initial design, but I did witness the system working well.

The suction line diameter should be at least 1 to 2 sizes larger than the pump suction connection with transition using an eccentric reducer. Pay special attention to the anticipated liquid velocity in the suction line, as acceptable velocities can vary depending on the pump type and speed.

The allowable velocity can be as low as 1 foot per second in some cases and higher than 15 feet per second in others. Refer to Hydraulic Institute standards (HI 7.2, 7.6 and 7.8) and the manufacturer for more details.

Acceleration head

Acceleration head, also known as inertia pressure, is the energy required to change the velocity of the liquid in the system from a condition of zero (at rest) to some value above zero (not at rest). In the PD pump suction line, the energy required to keep the liquid above its vapor pressure is in essence the acceleration head.

Centrifugal pumps create a mostly continuous and steady flow rate (Q), but PD pumps produce a flow rate punctuated by pressure pulses that are created by the starting and stopping of the liquid flow. The magnitude, periodicity and frequency of the pulses is a function of pump type and speed.

Even when compensating for the acceleration head in the overall NPSHa calculation, it is wise to consider the result simply as an approximation.

Acceleration head is completely dependent on the installation (system pipe design), and consequently, it is a system/field attribute that you must address. It is not a feature or quality of the pump. See Image 2 for the acceleration head formula.

NPSHa Formula

The basic formula for NPSHa relative to centrifugal pumps is in Image 1. When calculating for a PD pump, you will also need to account for and subtract the acceleration head.

Acoustic resonance

Pulsation problems occur because of the interaction between the pulses generated by the pump and how the system reacts to them as a consequence of the acoustic properties of the piping (think pipe organ). For positive displacement pump systems, acoustic resonance is one of the main problems that will manifest in the field and is also the reason why you will see suction accumulators (or acoustic filters) on the suction and pulsation dampeners on the discharge of those pumps. The longer the suction line and/or the higher number of pumps involved (pumps in parallel), the higher the probability for acoustic issues.

Final Comment

If you are designing a new PD pump system, calculation of NPSHa will be a good start to avoid future problems. If you also factor in the acceleration head, the NPSHr number will become even more accurate, but if the suction line length is more than 5 or 6 feet, even that revised component will not be accurate. You must also consider the power density index in the overall calculation for a better answer.

If you are not sure of how to design a problem-free PD pump system, the time to ask for help is before you design and build the system. Fixing the problem after the system is built is an extremely expensive course of action. As Clint Eastwood would ask, “Are you feeling lucky?”

References

  1. Reciprocating Pumps, Terry L. Henshaw PE
  2. The Pump Handbook, 4th edition Dr. Paul Cooper et al.
  3. Hydraulic Institute Standards 7.2, 7.6, 7.8 (various attributes of PD pumps)
  4. Hydraulic Institute Standards (ANSI/HI 6.1-6.5), Reciprocating Pumps
  5. Hydraulic Institute Standards (ANSI/HI 9.6.7) Guideline for Effects of Liquid Viscosity
  6. API 674, 3rd edition (Errata 3 - November 2025, special attention addendum E)
  7. ISO Standard 13710

Jim Elsey is a mechanical engineer with more than 50 years of experience in rotating equipment for industrial and marine applications around the world. He is an engineering adviser for Summit Pump, Inc., an active member of the American Society of Mechanical Engineers, the National Association of Corrosion Engineers and the Naval Submarine League. Elsey is also the principal of MaDDog Pump Consulting LLC. He may be reached at jim@summitpump.com.

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