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Boiler Feed Pump Calculation

Boiler feed pump calculation: enter steam rate or boiler hp for feedwater flow, discharge pressure, head, pump power and receiver size, imperial or metric.

Created by Muhammad Asif Zaheer
Reviewed by CalculatorPlanet Editorial Team

Published

Last updated

Pump flow
29.99 gpm
Pump flow, metric
6.81 m3/h
Discharge pressure
159.5 psig
Discharge pressure, metric
11.00 bar g
Total head
368 ft
Total head, metric
112.3 m
Hydraulic power
2.79 hp
Shaft power
4.29 hp
Shaft power, metric
3.20 kW
Receiver volume
300 gal
Receiver volume, metric
1,135 L

How the Boiler Feed Pump Calculation Formula Works

A boiler feed pump has to put water back into the boiler as fast as steam leaves it, against the boiler's own pressure. Sizing it takes three numbers: how much water, how much pressure and how much power.

The water is set by the steam rate. A boiler making 10,000 pounds of steam an hour needs 10,000 pounds of feedwater an hour, which is about 20 gallons a minute of cold water. A safety factor, commonly 1.5, covers peak demand and wear. A share of blowdown, if the boiler has any, adds to the feedwater, and hot water is less dense so it takes slightly more volume.

The pressure is the boiler relief valve setting plus a margin of 3 percent, which is the figure boiler practice asks for, plus whatever the piping and valves use up. Subtract the pressure already available at the pump inlet, add any height, and convert to feet of water to get the total head.

The power follows from flow and pressure. Hydraulic power is the flow times the pressure rise, which is flow in gallons a minute times head in feet divided by 3,960. The pump is not perfect, so shaft power is the hydraulic power divided by efficiency. The calculator also sizes the receiver: the design flow times the minutes of storage you choose.

flow (gpm) = steam (lb/h) / (water lb per gal × 60) × safety factor; discharge pressure = relief setting × 1.03 + piping drop; power (hp) = gpm × head (ft) × SG / 3960 / efficiency
What goes in, what comes out
  • steam rate or boiler hplb/h, kg/h or boiler hpHow much steam the boiler makes; 1 boiler hp is 34.5 lb/h.
  • safety factorxMultiplier on the flow; 1.5 is a common starting point.
  • relief valve settingpsig or bar gThe pressure at which the boiler safety valve opens.
  • piping drop and static heightpsi or bar; ft or mPressure lost in pipes and valves, and the height to lift.
  • pump efficiency%Hydraulic power divided by shaft power.
  • + 1 more input below
Pump flow
51.73
Values shown are from the worked example below
steam rate or boiler hp
lb/h, kg/h or boiler hp
How much steam the boiler makes; 1 boiler hp is 34.5 lb/h.
safety factor
x
Multiplier on the flow; 1.5 is a common starting point.
relief valve setting
psig or bar g
The pressure at which the boiler safety valve opens.
piping drop and static height
psi or bar; ft or m
Pressure lost in pipes and valves, and the height to lift.
pump efficiency
%
Hydraulic power divided by shaft power.
feedwater temperature
F or C
Sets the water density, up to 212 F.

Using the Boiler Feed Pump Calculation

  1. Enter units

    Choose from Imperial (lb/h, psig, ft, F), Metric (kg/h, bar g, m, C).

  2. Enter boiler capacity is given as

    Choose from Steam rate (lb/h or kg/h), Boiler horsepower.

  3. Enter boiler capacity (steam rate or boiler hp)

    Type the figure you already have, then press Calculate.

  4. Enter blowdown share of feedwater (%)

    Any value between 0 and 49. This one is optional.

  5. Enter safety factor on flow

    Type the figure you already have, then press Calculate.

  6. Enter feedwater temperature (f, up to 212)

    Any value between 32 and 212.

  7. Enter feedwater temperature (c, up to 100)

    Any value between 0 and 100.

  8. Enter relief valve setting (psig)

    Type the figure you already have, then press Calculate.

  9. Enter relief valve setting (bar g)

    Type the figure you already have, then press Calculate.

  10. Enter pressure margin above relief setting (%)

    Type the figure you already have, then press Calculate.

  11. Enter piping and valve pressure drop (psi)

    Type the figure you already have, then press Calculate.

  12. Enter piping and valve pressure drop (bar)

    Type the figure you already have, then press Calculate.

  13. Enter pressure at pump inlet (psig)

    Type the figure you already have, then press Calculate.

  14. Enter pressure at pump inlet (bar g)

    Type the figure you already have, then press Calculate.

  15. Enter height from pump to boiler water level (ft)

    Type the figure you already have, then press Calculate.

  16. Enter height from pump to boiler water level (m)

    Type the figure you already have, then press Calculate.

  17. Enter pump efficiency (%)

    Any value between 1 and 100.

  18. Enter receiver storage time (minutes)

    Type the figure you already have, then press Calculate.

  19. Read the result

    Press Calculate to update the result. Until you do, the last result is dimmed and marked as out of date, so you always know which numbers belong to the values in the boxes.

A Real Worked Example

A 500 boiler horsepower boiler makes 500 × 34.5 = 17,250 pounds of steam an hour. Water at 60 F weighs 8.337 pounds per gallon, so the feedwater is 17,250 / 8.337 / 60 = 34.48 gpm, and with the 1.5 safety factor the pump flow is 51.73 gpm.

The relief valve is set at 150 psig, so the discharge pressure is 150 × 1.03 + 5 = 159.5 psig, which is 368.3 feet of head. Hydraulic power is 51.73 × 368.3 / 3,960 = 4.81 hp, and at 70% efficiency the shaft power is 6.88 hp (5.13 kW). Ten minutes of storage needs a receiver of about 517 gallons.

1
unit
imperial
2
loadBasis
bhp
3
load
500
4
blowdown
0
5
safetyFactor
1.5
6
tempF
60
7
tempC
15.6
8
reliefPsi
150
9
reliefBar
10.5
10
pressureMargin
3
11
lossPsi
5
12
lossBar
0.35
13
suctionPsi
0
14
suctionBar
0
15
staticFt
0
16
staticM
0
17
efficiency
70
18
storageMinutes
10
This calculator returns11.75designFlowM3h51.73designFlowGpm11dischargeBar159.5dischargePsig112.3totalHeadM368totalHeadFt4.81hydraulicHp5.13shaftKw6.88shaftHp517receiverGal1958receiverLitres

Metric: 5,000 kg/h at 10.5 bar g

A boiler makes 5,000 kg of steam an hour. With feedwater at 80 C (971.79 kg per cubic metre) and a 1.5 factor, the pump flow is 7,500 / 971.79 = 7.72 m3/h, or 33.98 gpm.

The discharge pressure is 10.5 × 1.03 + 1.0 = 11.82 bar g (171.4 psig), which is 124.0 m of head. At 70% efficiency the shaft power is 3.62 kW (4.85 hp).

unit: metricloadBasis: steamload: 5000blowdown: 0safetyFactor: 1.5tempF: 60tempC: 80reliefPsi: 150reliefBar: 10.5pressureMargin: 3lossPsi: 5lossBar: 1suctionPsi: 0suctionBar: 0staticFt: 0staticM: 0efficiency: 70storageMinutes: 07.72designFlowM3h33.98designFlowGpm11.81dischargeBar171.4dischargePsig124totalHeadM407totalHeadFt3.4hydraulicHp3.62shaftKw4.85shaftHp0receiverGal0receiverLitres

10,000 lb/h with hot feedwater, blowdown and a 10 ft lift

A 10,000 lb/h boiler with 5% blowdown needs 10,000 / 0.95 = 10,526 lb/h of feedwater. At 180 F the water is less dense (60.58 lb per cubic foot), and with the 1.5 factor the pump flow is 32.50 gpm.

The relief setting is 125 psig with an 8 psi drop, so the discharge is 136.75 psig, and the 10 ft lift adds a little more. The total head is 335.1 feet, the hydraulic power is 2.67 hp and at 65% efficiency the shaft power is 4.11 hp.

unit: imperialloadBasis: steamload: 10000blowdown: 5safetyFactor: 1.5tempF: 180tempC: 15.6reliefPsi: 125reliefBar: 10.5pressureMargin: 3lossPsi: 8lossBar: 0.35suctionPsi: 0suctionBar: 0staticFt: 10staticM: 0efficiency: 65storageMinutes: 107.38designFlowM3h32.5designFlowGpm9.43dischargeBar136.8dischargePsig102.1totalHeadM335totalHeadFt2.67hydraulicHp3.07shaftKw4.11shaftHp325receiverGal1230receiverLitres

A small 20 boiler hp low-pressure boiler

A 20 boiler hp boiler makes 690 lb/h of steam. At 60 F and a 1.5 factor the pump flow is only 2.07 gpm.

With a 15 psig relief setting and a 3 psi drop, the discharge pressure is 18.45 psig and the head is 42.6 feet. The shaft power is 0.037 hp at 60% efficiency, which shows why very small pumps are rated by flow and pressure rather than power.

unit: imperialloadBasis: bhpload: 20blowdown: 0safetyFactor: 1.5tempF: 60tempC: 15.6reliefPsi: 15reliefBar: 10.5pressureMargin: 3lossPsi: 3lossBar: 0.35suctionPsi: 0suctionBar: 0staticFt: 0staticM: 0efficiency: 60storageMinutes: 100.47designFlowM3h2.07designFlowGpm1.27dischargeBar18.4dischargePsig13totalHeadM43totalHeadFt0.02hydraulicHp0.03shaftKw0.04shaftHp21receiverGal78receiverLitres

A larger boiler with a pressurised receiver and a 2x factor

A 25,000 lb/h boiler uses a 2.0 safety factor, with 210 F feedwater from a receiver at 5 psig. The relief setting is 200 psig with a 10 psi drop, so the discharge is 216.0 psig.

The pump only adds the difference from the 5 psig suction, plus 8 feet of lift, so the total head is 515.4 feet. The pump flow is 104.1 gpm, the shaft power is 18.08 hp at 72% efficiency and 5 minutes of storage is 521 gallons.

unit: imperialloadBasis: steamload: 25000blowdown: 0safetyFactor: 2tempF: 210tempC: 15.6reliefPsi: 200reliefBar: 10.5pressureMargin: 3lossPsi: 10lossBar: 0.35suctionPsi: 5suctionBar: 0staticFt: 8staticM: 0efficiency: 72storageMinutes: 523.65designFlowM3h104.11designFlowGpm14.89dischargeBar216dischargePsig157.1totalHeadM515totalHeadFt13.02hydraulicHp13.48shaftKw18.08shaftHp521receiverGal1971receiverLitres

What Else to Know

What Sizing a Boiler Feed Pump Involves

A boiler feed pump returns water to the boiler as fast as the boiler turns it into steam, against the boiler's own pressure. Sizing it comes down to three numbers: the flow, the pressure it must overcome and the power to drive it.

Boiler feed pump system diagram: feedwater receiver, feed pump and boiler with steam out and relief valve

The calculator works from the steam rate or the boiler horsepower, then applies a safety factor, a pressure margin and your own efficiency figure. It returns the flow in gallons per minute and cubic metres per hour, the discharge pressure in psig and bar, the total head in feet and metres, the pump power in horsepower and kilowatts, and the volume of a feedwater receiver.

It is a sizing estimate for a steam boiler, not a pump selection. The final pump comes from the manufacturer's curves and the boiler maker's instructions.

Boiler Capacity: Steam Rate and Boiler Horsepower

Boilers are rated in pounds or kilograms of steam per hour, or in boiler horsepower. One boiler horsepower is the energy needed to make 34.5 pounds of steam per hour at 0 psig and about 211 F with feedwater at the same temperature, about 33,479 Btu per hour. It is not mechanical horsepower.

Bar chart of boiler feed pump flow in gpm for boiler horsepower from 10 to 500 with a 1.5 safety factor

So a 100 boiler hp boiler makes 3,450 lb/h of steam, and a 500 boiler hp boiler makes 17,250 lb/h. The calculator converts boiler horsepower for you, and also takes a steam rate directly in lb/h or kg/h.

If your boiler is rated in Btu per hour, divide by about 970 Btu per pound for steam from and at 212 F, or by 33,479 for boiler horsepower.

Feedwater Flow, Safety Factor and Blowdown

In steady running, the feedwater equals the steam produced, so the flow in gallons per minute is the steam rate in pounds per hour divided by the water density in pounds per gallon and by 60. For water at 60 F that is steam lb/h divided by 500.2.

Boiler feed pump flow calculation: 500 boiler hp is 17,250 lb/h of steam, 34.48 gpm and 51.73 gpm with a 1.5 factor

The pump is then sized above that figure. A safety factor of 1.5 is common practice, with 2 sometimes used for on-off feed, and the tables show the effect of each. For a 500 boiler hp boiler the formula gives 34.48 gpm, and 1.5 times that is 51.7.

Chart of boiler feed pump flow for a 10,000 lb/h boiler at safety factors 1.25, 1.5 and 2.0

Blowdown adds to the feedwater, because the water drained from the boiler has to be replaced. If blowdown is a share b of the feedwater, then feedwater = steam / (1 − b), so 5 percent blowdown raises the flow by about 5.3 percent.

Discharge Pressure and Total Head

The pump must push water into a boiler that is at pressure, so the discharge pressure has to exceed the boiler's relief valve setting. Boiler practice asks for the feedwater to be supplied at 3 percent above the relief valve setting, and then the pressure lost in the piping, valves and any economiser is added. At a 150 psig relief setting with a 5 psi drop that is 159.5 psig.

Boiler feed pump discharge pressure: 150 psig relief times 1.03 plus a 5 psi drop gives 159.5 psig or 368 feet of head

Subtract the pressure already available at the pump inlet, for example from a pressurised receiver, and add the pressure from any height the water must be lifted. Convert to feet of water at 2.31 feet per psi for cold water, or in metric 1 bar is 10.2 metres, and you have the total head.

The calculator keeps the density correction, so hot water gives a slightly larger head for the same pressure.

Pump Power and Efficiency

Hydraulic power is the power delivered to the water: the flow times the pressure rise. In US units it is flow in gpm times head in feet times the specific gravity, divided by 3,960. In metric it is the flow in cubic metres per second times the pressure rise in pascals.

Boiler feed pump power: 51.73 gpm at 368 feet is 4.81 hydraulic hp and 6.88 shaft hp at 70 percent efficiency

The pump wastes some of the shaft power, so shaft power is the hydraulic power divided by the efficiency. A pump that is 50 percent efficient takes 50 percent more power than one that is 75 percent efficient for the same duty, as the efficiency table shows.

Bar chart of boiler feed pump shaft horsepower at pump efficiencies from 50 to 80 percent

Use the efficiency at your duty point from the pump curve if you have it. The shaft power is what you compare with motor ratings.

Feedwater Temperature, Density and NPSH

Feedwater is often hot, which matters in two ways. Hot water is less dense, so the same mass flow is a bigger volume: about 4 percent more at 212 F than at 60 F. The calculator interpolates the density from a standard table up to 212 F.

Chart of water density from 0 to 100 degrees Celsius used to size boiler feedwater flow

The second effect is cavitation. Water close to boiling can flash to vapour at the pump inlet if the inlet pressure is too low. The margin against that is the net positive suction head, NPSH. The available NPSH must exceed what the pump needs, with a margin, and the pump maker gives the required value.

The calculator does not compute NPSH. Use it for flow, pressure and power, then check NPSH with the pump data.

Receiver Size, Examples and Limits

The feedwater receiver is sized by storage time. A common figure is about 10 minutes of the design flow, so the volume is the pump flow in gallons per minute times the minutes. For the 500 boiler hp example that is about 517 gallons, and you would choose the next standard size up.

Bar chart of boiler feedwater receiver volume in gallons for storage times from 2 to 30 minutes

The tables on this page cover boiler horsepower to flow, steam rate to flow, relief setting to head, power for sample duties and receiver volumes. For sizing other vessels, such as storage tanks, see the tank size calculator.

Boilers are regulated pressure equipment. This is an estimating tool and not a design or a pump selection. Have a qualified engineer and the pump manufacturer confirm any design against the applicable code.

Reference Tables

Terms used by the boiler feed pump calculator
TermMeaning
Steam rateHow much steam the boiler makes per hour, in lb/h or kg/h
Boiler horsepowerA boiler rating: 1 boiler hp is 34.5 lb/h of steam from and at 212 F
FeedwaterWater pumped into the boiler to replace the steam produced
Safety factorMultiplier on the flow so the pump keeps up at peak demand and with wear
Relief valve settingThe pressure at which the boiler safety valve opens
Total headThe pressure the pump adds, expressed as a height of water
Hydraulic powerPower delivered to the water: flow times pressure rise
Shaft powerPower at the pump shaft: hydraulic power divided by efficiency
NPSHNet positive suction head: margin against cavitation at the pump inlet
BlowdownWater drained from the boiler to control dissolved solids, replaced by feedwater
Boiler horsepower to steam rate and feedwater flow (water at 60 F, 1.5 safety factor)
Boiler hpSteam lb/hSteam kg/hFeedwater gpm (no factor)Pump flow gpm (1.5x)Pump flow m3/h
103451560.691.030.23
206903131.382.070.47
501,7257823.455.171.17
1003,4501,5656.9010.352.35
2006,9003,13013.7920.694.70
30010,3504,69520.6931.047.05
50017,2507,82434.4951.7311.75
75025,87511,73751.7377.5917.62
100034,50015,64968.97103.4623.50
Steam rate to pump flow at 60 F water for three safety factors
Steam lb/h1.25 x (gpm)1.5 x (gpm)2.0 x (gpm)
1,0002.503.004.00
2,5006.257.5010.00
5,00012.4914.9919.99
10,00024.9929.9939.98
20,00049.9859.9779.97
30,00074.9789.96119.95
50,000124.95149.94199.91
Boiler relief setting to pump discharge pressure and head (3% margin, 5 psi piping drop, cold water)
Relief valve setting (psig)Discharge pressure (psig)Total head (ft)Total head (m)
1520.454714.4
3035.908325.3
100108.0024976.0
125133.7530994.1
150159.50368112.3
200211.00487148.5
250262.50606184.7
300314.00725221.0
Pump power for sample duties (relief 150 psig, 3% margin, 5 psi drop, 65% efficient, cold water)
Steam lb/hFlow (gpm)Head (ft)Hydraulic hpShaft hpShaft kW
2,0006.03680.560.860.64
5,00015.03681.402.151.60
10,00030.03682.794.293.20
20,00060.03685.588.586.40
30,00090.03688.3712.889.60
50,000149.936813.9521.4616.00
How pump efficiency changes the shaft power (10,000 lb/h, 150 psig relief)
Pump efficiencyShaft hpShaft kWExtra power against 75%
50%5.584.16+50.0%
55%5.073.78+36.4%
60%4.653.47+25.0%
65%4.293.20+15.4%
70%3.992.97+7.1%
75%3.722.77+0.0%
80%3.492.60-6.3%
Density of water by temperature (used to convert mass flow to volume flow)
Temperaturekg per cubic metrelb per cubic footlb per US gallon
0 C (32 F)999.8562.428.344
10 C (50 F)999.7062.418.343
15.6 C (60 F)998.9862.368.337
20 C (68 F)998.2162.328.330
40 C (104 F)992.2261.948.280
60 C (140 F)983.2061.388.205
80 C (176 F)971.7960.678.110
90 C (194 F)965.3160.268.056
100 C (212 F)958.3559.837.998
Effect of feedwater temperature on pump flow for the same 10,000 lb/h boiler (1.5 safety factor)
Feedwater temperaturePump flow (gpm)Pump flow (m3/h)Change against 60 F
60 F29.996.81+0.00%
100 F30.176.85+0.61%
140 F30.476.92+1.61%
180 F30.877.01+2.95%
200 F31.117.07+3.74%
212 F31.267.10+4.24%
Blowdown raises the feedwater needed (10,000 lb/h steam, 1.5 safety factor)
Blowdown share of feedwaterFeedwater lb/hPump flow (gpm)
0%10,00029.99
2%10,20430.60
5%10,52631.57
8%10,87032.59
10%11,11133.32
Feedwater receiver volume: design flow times minutes of storage (10,000 lb/h, 1.5 factor, cold water)
Minutes of storageVolume (US gallons)Volume (litres)
260227
5150568
103001,135
154501,703
206002,270
309003,405
Unit conversions used in boiler feed pump sizing
FromToFactor
Boiler hplb/h of steam34.5
Boiler hpkg/h of steam15.65
lb/hkg/h0.45359
psifeet of water (cold)2.31
psibar0.0689476
barmetres of water (cold)10.197
US gpmm3/h0.2271
Hydraulic hpkW0.7457
Common boiler feed pump sizing mistakes
MistakeEffectFix
Sizing the flow on the steam rate with no marginThe pump cannot keep up at peak loadApply a safety factor (1.5 is common practice, 2 for on-off control)
Using the boiler pressure as the pump pressureThe pump cannot push water into the boilerUse the relief setting plus 3% plus piping drop
Ignoring piping losses and static heightHead is understatedAdd the pressure drop and the height
Ignoring feedwater temperatureCavitation risk and wrong volume flowEnter the real temperature and check NPSH
Treating the result as a final selectionWrong pump, unsafe installationHave a qualified engineer and the pump maker confirm it

Frequently Asked Questions About the Boiler Feed Pump Calculation

How do I calculate boiler feed pump capacity?

Convert the boiler's steam rate to water volume and apply a safety factor: gpm = steam lb/h / (8.337 × 60) × 1.5 for cold water. A 500 boiler horsepower boiler makes 17,250 lb/h of steam, so the pump flow is 51.7 gpm. The calculator also adjusts for feedwater temperature and blowdown.

How to calculate boiler pump size?

Find three numbers: flow, pressure and power. Flow is the steam rate in volume plus a margin. Pressure is the relief valve setting plus 3% plus the piping drop. Power is flow times pressure divided by efficiency. For 500 boiler hp at 150 psig and 70% efficiency that is 51.7 gpm, about 159.5 psig and 6.9 shaft hp.

How do I size a boiler feedwater pump?

Work out the boiler's steam rate, convert it to feedwater flow with a safety factor, set the discharge pressure above the relief valve setting, add the head for height and piping, then choose a pump whose curve covers that duty with enough NPSH. The calculator does the flow, pressure and power steps.

What is the formula for calculating feed rate?

Feed rate (gpm) = steam rate (lb/h) / (water density in lb per gallon x 60) x safety factor. With cold water at 8.337 lb per gallon that is steam lb/h / 500.2 x safety factor. A common rule of thumb for boilers rated in horsepower is about 0.1 gallon per minute per boiler horsepower at a 1.5 factor.

What is boiler horsepower?

A boiler rating: one boiler horsepower is the energy needed to make 34.5 pounds of steam per hour at 0 psig and about 211 F with feedwater at the same temperature. It equals about 33,479 Btu per hour, or 9.81 kW. It is not mechanical horsepower and the two should not be mixed.

How many pounds of steam is one boiler horsepower?

34.5 pounds per hour, which is about 15.65 kg per hour. The calculator takes boiler horsepower directly and converts it, so a 100 boiler hp boiler is 3,450 lb/h of steam. At 60 F water that needs about 6.9 gpm before the safety factor.

What safety factor should I use for a boiler feed pump?

Common practice is 1.5 times the steam-rate flow, and some on-off control arrangements use 2 times so the pump refills quickly. The calculator starts at 1.5 and lets you change it. Your boiler maker, the pump supplier and the applicable code decide the final figure.

Why must a feed pump pressure exceed the boiler pressure?

Water only flows into the boiler if the pump can push against the boiler pressure. Boiler practice asks for feedwater to be supplied at 3 percent above the relief valve setting, plus the pressure lost in piping and valves. At a 150 psig relief setting that is about 160 psig. The calculator applies the margin you enter, 3 percent by default.

How do I calculate total head for a boiler feed pump?

Take the discharge pressure (relief setting x 1.03 plus piping drop), subtract any suction pressure, add pressure for height, and convert to feet of water at 2.31 feet per psi for cold water. At 150 psig relief with a 5 psi drop the discharge is 159.5 psig, about 368 feet of head.

How do I calculate boiler feed pump power?

Hydraulic horsepower = flow (gpm) x head (ft) x specific gravity / 3,960. Shaft horsepower is that divided by pump efficiency. For 51.7 gpm at 368 feet and 70% efficiency, hydraulic power is 4.81 hp and shaft power is 6.88 hp (5.13 kW).

What pump efficiency should I enter?

Use the efficiency at the duty point from the pump maker's curve if you have it. Small boiler feed pumps are often well below the 70 percent a large pump can reach. The efficiency table shows that lowering it raises the shaft power in proportion, so a pessimistic value is the safer choice for motor sizing.

Does feedwater temperature matter?

Yes, in two ways. Hot water is less dense, so the same mass flow is a larger volume: about 1.6 percent more at 140 F and about 4 percent more at 212 F than at 60 F. And hot water is close to boiling, which makes cavitation at the pump inlet a risk, so NPSH matters more. Enter the real temperature.

What is NPSH and why does it matter?

Net positive suction head is the pressure margin at the pump inlet above the point where the water would flash to vapour. If the available NPSH is too low the pump cavitates, which damages it and cuts flow. Feedwater is often hot, so check that the available NPSH exceeds what the pump needs by a safety margin. The calculator does not compute NPSH.

Does the calculator calculate NPSH?

No. NPSH depends on the receiver level, the suction piping, the water temperature and the pump itself, and the pump maker gives the required value. Use the result here for flow, pressure and power, then check NPSH with the pump data. Many designers add a margin on top of the required value.

How big should the feedwater tank be?

A common approach is to store about 10 minutes of the design flow. At 51.7 gpm that is about 517 gallons, and you would pick the next standard tank size up. The receiver size output multiplies the design flow by the storage time you enter.

What is blowdown and does it change the pump size?

Blowdown is water drained from the boiler to control dissolved solids. It has to be replaced, so the feedwater is the steam rate plus the blowdown. With 5 percent of the feedwater going to blowdown, the feedwater is steam / 0.95, which is about 5.3 percent more. Enter the share in the blowdown box.

How do I convert steam kg/h to pump flow?

Divide the mass flow by the water density to get volume: m3/h = kg/h / density. With 5,000 kg/h of steam, a 1.5 factor and water at 80 C (971.79 kg/m3) the pump flow is about 7.72 m3/h, or 34 gpm. The calculator accepts kg/h and returns both unit systems.

Can I use metric units?

Yes. Choose metric, enter the steam rate in kg/h, pressures in bar gauge, heights in metres and temperature in degrees Celsius. The calculator returns flow in m3/h, discharge pressure in bar, head in metres and power in kW, and also shows the imperial equivalents.

What is the formula for pump discharge pressure?

Discharge pressure = relief valve setting x (1 + margin) + piping and valve pressure drop. With a 3 percent margin, a 150 psig relief setting and a 5 psi drop it is 150 × 1.03 + 5 = 159.5 psig, which is usually rounded to 160. In bar the same idea applies: 10.5 × 1.03 + 1.0 = 11.8 bar g.

How do I include the height difference?

Enter the vertical height from the pump to the boiler water level as the static height. It adds pressure equal to density x gravity x height, about 0.433 psi per foot for cold water, to the head the pump must produce. If the receiver sits above the pump, use the suction pressure box for the pressure it supplies.

What is the suction pressure input?

It is the gauge pressure in the feedwater receiver or deaerator at the pump inlet. A vented receiver is 0 psig. A pressurised deaerator gives a positive value, which reduces the pressure rise the pump has to add. Leave it at 0 if you are unsure, since that gives a larger, safer pressure rise.

How do I choose the motor?

Take the shaft power from the calculator and choose a standard motor size above it, with a margin for the operating range and service factor. Your pump supplier will confirm the motor from the pump curve. The calculator gives shaft power in hp and kW so you can compare with motor ratings.

What is the difference between a feed pump and a condensate pump?

A condensate pump returns condensed steam to the feedwater receiver at low pressure. The boiler feed pump takes water from the receiver and pushes it into the boiler at boiler pressure, so it needs far more head. This calculator sizes the boiler feed pump, not the condensate pump.

Why are boiler feed pumps often installed in pairs?

A boiler needs a reliable water supply, and a failed pump can leave the boiler short of water. Many codes and designs therefore ask for more than one means of feeding the boiler, often two pumps each able to carry the full duty. Check the code that applies where you are.

What is a typical boiler feed pump example?

A 500 boiler hp boiler at 150 psig relief setting: steam 17,250 lb/h, pump flow 51.7 gpm at 1.5 x, discharge 159.5 psig, head about 368 ft, hydraulic power 4.81 hp and shaft power 6.88 hp at 70% efficiency. Change any input to see how the numbers move.

Is there a boiler feed pump calculation PDF or table?

The tables on this page cover the same ground: boiler horsepower to flow, steam rate to flow, relief setting to head, power for sample duties and receiver volumes. You can print the page, and the calculator works out your own numbers.

What is the 2 times rule for feed pumps?

Some on-off feed arrangements size the pump at twice the steam rate so it can refill the boiler quickly between cycles. Modulating feed can use a lower factor such as 1.5. The calculator lets you enter either factor, and the safety factor table shows the effect.

Is the result a pump selection?

No. It is a sizing estimate for flow, pressure, power and receiver volume. The actual pump comes from the manufacturer's curves, and the installation must follow the boiler maker's instructions and the applicable code. Have a qualified engineer confirm the design.

What does the calculator assume?

Feedwater is clean water with the density of water at the temperature you enter, up to 212 F. The relief valve setting is the pressure at the boiler, the pump takes suction at the pressure you enter, and the steam rate is steady. It does not model transients, control valves or economiser details beyond the piping drop you enter.

Does it work for steam and hot water boilers?

It is built for steam boilers, where the feedwater replaces the steam produced. A hot water heating boiler circulates a closed loop with little make-up, so the sizing method differs. Use the steam rate and relief setting of a steam boiler.

What if my boiler is rated in BTU per hour?

Convert to steam rate first. Divide the rating by the heat needed per pound of steam, roughly 970 Btu per pound for steam from and at 212 F, or use boiler horsepower at 33,479 Btu per hour each. Enter the resulting lb/h or boiler hp in the calculator.

What does the discharge pressure result include?

The relief valve setting plus your margin and the piping drop, as a gauge pressure at the pump discharge. It does not include the effect of height, which is added separately to the total head. For a reading in bar, the calculator gives both psig and bar g.

How do I use this boiler feed pump calculator?

Choose imperial or metric, enter the boiler capacity in steam rate or boiler horsepower, then the feedwater temperature, relief valve setting, piping drop, static height, pump efficiency and storage time. The results give flow, discharge pressure, head, pump power and receiver volume.

References

  1. [1] McKenzie Corporation. “Proper sizing of boiler feedwater systems.” McKenzie Corp.. Accessed 2026-10-06.
  2. [2] Engineering ToolBox. “Boiler horsepower.” Engineering ToolBox. Accessed 2026-10-06.
  3. [3] Engineering ToolBox. “Pump power calculator: hydraulic and shaft power.” Engineering ToolBox. Accessed 2026-10-06.
  4. [4] Engineering ToolBox. “Water density, specific weight and thermal expansion.” Engineering ToolBox. Accessed 2026-10-06.