# NPSH - Net Positive Suction Head

## A definition and an introduction to Net Positive Suction Head - NPSH

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The low pressure at the suction side of a pump can encounter the fluid to start boiling with

- reduced efficiency
- cavitation
- damage

of the pump as a result. Boiling starts when the pressure in the liquid is reduced to the vapor pressure of the fluid at the actual temperature.

To characterize the potential for boiling and cavitation the difference between

- the total head on the suction side of the pump - close to the impeller, and
- the liquid vapor pressure at the actual temperature,

can be used.

### Suction Head

Based on the Energy Equation - the **suction head** in the fluid close to the impeller can be expressed as the sum of the **static** and the **velocity head**:

h_{s}= p_{s}/ γ + v_{s}^{2}/ 2 g(1)

where

h_{s}= suction head close to the impeller (m, in)

p_{s}= static pressure in the fluid close to the impeller (Pa (N/m^{2}), psi (lb/in^{2}))

γ=specific weight of the fluid(N/m^{3}, lb/ft^{3})

v_{s}= velocity of fluid (m/s, in/s)

g= acceleration of gravity (9.81 m/s^{2},386.1 in/s)^{2}

### Liquids Vapor Head

The **liquids vapor head** at the actual temperature can be expressed as:

h_{v}= p_{v}/ γ(2)

where

h_{v}= vapor head (m, in)

p_{v}= vapor pressure (m, in)

**Note!** The vapor pressure in fluids depends on temperature. Water, our most common fluid, starts boiling at *20 ^{o}C* if the absolute pressure in the fluid is

*2.3 kN/m*. For an absolute pressure of

^{2}*47.5 kN/m*, the water starts boiling at

^{2}*80*. At an absolute pressure of

^{o}C*101.3 kN/m*(normal atmosphere), the boiling starts at

^{2}*100*.

^{o}C### Net Positive Suction Head - NPSH

The Net Positive Suction Head - NPSH - can be expressed as

- the difference between the Suction Head, and
- the Liquids Vapor Head

and can be expressed as

NPSH=h_{s}-h_{v}(3)

or, by combining (1) and (2)

NPSH=p_{s}/ γ + v_{s}^{2}/ 2 g - p_{v}/ γ (3b)

where

NPSH = Net Positive Suction Head (m, in)

### Available NPSH - NPSH_{a }or NPSHA_{}

The Net Positive Suction Head available to the suction system for the pump is often named NPSH_{a}. The NPSH_{a} can be estimated during the design and construction of the system, or determined experimentally by testing the actual physical system.

The available NPSH_{a} can be estimated with the Energy Equation.

For a common application - where the pump lifts a fluid from an open tank at one level to an other, the energy or head at the surface of the tank is the same as the energy or head before the pump impeller and can be expressed as:

h_{0}= h_{s}+ h_{l}(4)

where

h_{0}= head at surface (m, in)

h_{s}=headbefore the impeller(m, in)

h_{l}=headloss from the surface to impeller - major and minor loss in the suction pipe(m, in)

In an open tank the head at surface can be expressed as:

h_{0}=p_{0}/ γ =p_{atm}/ γ(4b)

For a closed pressurized tank the absolute static pressure inside the tank must be used.

The head before the impeller can be expressed as:

h_{s}=p_{s}/ γ + v_{s}^{2}/ 2 g + h_{e}(4c)

where

h_{e}= elevation from surface to pump - positive if pump is above the tank, negative if the pump is below the tank(m, in)

Transforming (4) with (4b) and (4c):

p_{atm}/ γ = p_{s}/ γ + v_{s}^{2}/ 2 g + h_{e}+ h_{l}(4d)

The head available before the impeller can be expressed as:

p_{s}/ γ + v_{s}^{2}/ 2 g = p_{atm}/ γ - h_{e}- h_{l}(4e)

or as the available NPSH_{a}:

NPSH_{a}= p_{atm}/ γ - h_{e}- h_{l}- p_{v}/ γ(4f)

where

NPSH_{a}= Available Net Positive Suction Head (m, in)

#### Available NPSH_{a} - the Pump is above the Tank

If the pump is positioned above the tank, the elevation *- h _{e} -* is positive and the NPSH

_{a}decreases when the elevation of the pump increases (lifting the pump).

At some level the NPSH_{a} will be reduced to zero and the fluid starts to evaporate.

#### Available NPSH_{a} - the Pump is below the Tank

If the pump is positioned below the tank, the elevation *- h _{e} -* is negative and the NPSH

_{a}increases when the elevation of the pump decreases (lowering the pump).

It's always possible to increase the NPSH_{a} by lowering the pump (as long as the major and minor head loss due to a longer pipe don't increase it more). **Note!** It is important - and common - to lower the pump when pumping a fluid close to evaporation temperature.

### Required NPSH - NPSH_{r} or NPSHR_{}

The NPSH_{r}, called as the Net Suction Head as required by the pump in order to prevent cavitation for safe and reliable operation of the pump.

The required NPSH_{r} for a particular pump is in general determined experimentally by the **pump manufacturer** and a part of the documentation of the pump.

The available NPSH_{a } of the system should always exceeded the required NPSH_{r} of the pump to avoid vaporization and cavitation of the impellers eye. The available NPSH_{a} should in general be significant higher than the required NPSH_{r} to avoid that head loss in the suction pipe and in the pump casing, local velocity accelerations and pressure decreases, start boiling the fluid on the impellers surface.

Note that required NPSH_{r} increases with the square of capacity.

Pumps with double-suction impellers has lower NPSH_{r }than pumps with single-suction impellers. A pump with a double-suction impeller is considered hydraulically balanced but is susceptible to an uneven flow on both sides with improper pipe-work.

### Example - Pumping Water from an Open Tank

When elevating a pump located above a tank (lifting the pump) - the fluid starts to evaporate at the suction side of the pump at what is the maximum elevation for the actual temperature of the pumping fluid.

At the maximum elevation *NPSH _{a}* is zero. The maximum elevation can therefore be expressed by modifying (4f) to:

NPSH_{a}= p_{atm}/ γ - h_{e}- h_{l}- p_{v}/ γ

= 0

For an optimal theoretical condition we neglect major and minor head loss. The elevation head can then be expressed as:

h_{e}= p_{atm}/ γ - p_{v}/ γ(5)

The maximum elevation - or suction head - for an open tank depends on the atmospheric pressure - which in general can be regarded as constant, and the vapor pressure of the fluid - which in general vary with temperature, especially for water.

The absolute vapor pressure of water at temperature* 20 ^{o}C*

*is*

*2.3 kN/m*. The maximum theoretical elevation of a pump when pumping water at

^{2}*20*is therefore:

^{o}C

h_{e}=(101.33 kN/m^{2}) / (9.80 kN/m^{3}) - (2.3 kN/m^{2}) / (9.80 kN/m^{3})

= 10.1 m

Due to head loss in the suction pipe and the local conditions inside the pump - the theoretical maximum elevation normally is significantly decreased.

Maximum theoretical elevation of a pump above an open tank at different water temperatures are indicated below.

### Suction Head for Water as Affected by Temperature

Suction head for water - or max. elevation of a pump above a water surface - as affected by the temperature of the pumping water - is indicated below:

Temperature | Vapor Pressure | Suction Head | ||

(^{o}C) | (^{o}F) | (kN/m^{2}) | (m) | (ft) |

0 | 32 | 0.6 | 10.3 | 33.8 |

5 | 41 | 0.9 | 10.2 | 33.5 |

10 | 50 | 1.2 | 10.2 | 33.5 |

15 | 59 | 1.7 | 10.2 | 33.5 |

20 | 68 | 2.3 | 10.1 | 33.1 |

25 | 77 | 3.2 | 10.0 | 32.8 |

30 | 86 | 4.3 | 9.9 | 32.5 |

35 | 95 | 5.6 | 9.8 | 32.2 |

40 | 104 | 7.7 | 9.5 | 31.2 |

45 | 113 | 9.6 | 9.4 | 30.8 |

50 | 122 | 12.5 | 9.1 | 29.9 |

55 | 131 | 15.7 | 8.7 | 28.5 |

60 | 140 | 20 | 8.3 | 27.2 |

65 | 149 | 25 | 7.8 | 25.6 |

70 | 158 | 32.1 | 7.1 | 23.3 |

75 | 167 | 38.6 | 6.4 | 21 |

80 | 176 | 47.5 | 5.5 | 18 |

85 | 185 | 57.8 | 4.4 | 14.4 |

90 | 194 | 70 | 3.2 | 10.5 |

95 | 203 | 84.5 | 1.7 | 5.6 |

100 | 212 | 101.33 | 0.0 | 0 |

### Pumping Hydrocarbons

Note that the NPSH specifications provided by manufacturers in general are for use with **cold water**. For hydrocarbons these values must be lowered to account for vapor release properties of complex organic liquids.

Fluid | Temperature (^{o}C) | Vapor Pressure (kPa abs) |

Ethanol | 20 | 5.9 |

65 | 58.2 | |

Methyl Acetate | 20 | 22.8 |

55 | 93.9 |

The head developed by a pump is independent of liquid and a performance curve for water can be used for Newtonian liquids like gasoline, diesel or similar. Note that the required power to the pump depends on the liquid density and must be recalculated.

### NPSH and Liquids with Dissolved Gas

NPSH calculations might be modified if there is significant amount of dissolved gas in a liquid. The gas saturation pressure is often much higher than a liquid's vapor pressure.

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