Static power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Static power of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Static Head of Centrifugal Pump)/1000
P = (w*Q*Hst)/1000
This formula uses 4 Variables
Variables Used
Static power of centrifugal pump - (Measured in Kilowatt) - Static power of centrifugal pump is the amount of energy liberated per second in the centrifugal pump.
Specific weight of fluid in pump - (Measured in Newton per Cubic Meter) - Specific weight of fluid in pump is the weight of fluid per unit volume.
Actual discharge at centrifugal pump outlet - (Measured in Cubic Meter per Second) - Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.
Static Head of Centrifugal Pump - (Measured in Meter) - Static head of centrifugal pump is the sum of suction head and delivery head of the centrifugal pump.
STEP 1: Convert Input(s) to Base Unit
Specific weight of fluid in pump: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Actual discharge at centrifugal pump outlet: 0.056 Cubic Meter per Second --> 0.056 Cubic Meter per Second No Conversion Required
Static Head of Centrifugal Pump: 21 Meter --> 21 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (w*Q*Hst)/1000 --> (9810*0.056*21)/1000
Evaluating ... ...
P = 11.53656
STEP 3: Convert Result to Output's Unit
11536.56 Watt -->11.53656 Kilowatt (Check conversion here)
FINAL ANSWER
11.53656 Kilowatt <-- Static power of centrifugal pump
(Calculation completed in 00.004 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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15 Pump Parameters Calculators

Minimum speed for starting centrifugal pump
Go Minimum Speed for Starting Centrifugal Pump = (120*Manometric Efficiency of Centrifugal Pump*Velocity of Whirl at Outlet*Diameter of centrifugal pump impeller at outlet)/(pi*(Diameter of centrifugal pump impeller at outlet^2-Diameter of centrifugal pump impeller at inlet^2))*((2*pi)/60)
Work done per second when Flow at Inlet is not Radial
Go Work Done by Pump per Second = (Weight of liquid in pump/[g])*((Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)-(Velocity of Whirl at Inlet*Tangential Velocity of Impeller at Inlet))
Work done per second per unit weight of liquid if flow at inlet is not radial
Go Work Done by Centrifugal Pump = ((Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)-(Velocity of Whirl at Inlet*Tangential Velocity of Impeller at Inlet))/[g]
Angular Speed given Specific Speed of Pump
Go Angular velocity of centrifugal pump = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4)))/(sqrt(Actual discharge at centrifugal pump outlet))
Specific Speed of Pump
Go Specific Speed of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/(Manometric Head of Centrifugal Pump^(3/4))
Suction specific speed
Go Suction Specific Speed = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/((Net Positive Suction Head of Centrifugal Pump)^(3/4))
Head of Pump given Specific Speed
Go Manometric Head of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet)/Specific Speed of Centrifugal Pump)^(4/3)
Volumetric Efficiency of Pump given Discharge and Leakage of Liquid
Go Volumetric efficiency of centrifugal pump = Actual discharge at centrifugal pump outlet/(Actual discharge at centrifugal pump outlet+Leakage of Liquid from Impeller)
Discharge of pump given specific speed
Go Actual discharge at centrifugal pump outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular velocity of centrifugal pump)^2
Work done per second for Centrifugal pumps
Go Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet
Output power
Go Output Power of Centrifugal Pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/1000
Static power
Go Static power of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Static Head of Centrifugal Pump)/1000
Work done per second per unit weight of liquid
Go Work Done by Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]
Work done per second given Torque
Go Work Done by Pump per Second = Torque at Centrifugal Pump Outlet*Angular velocity of centrifugal pump
Angular Velocity of Centrifugal Pump
Go Angular Velocity = (2*pi*Speed of Impeller in RPM)/60

Static power Formula

Static power of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Static Head of Centrifugal Pump)/1000
P = (w*Q*Hst)/1000

What is centrifugal pump power?

The work performed by a centrifugal pump is a function of the total head and the weight of the liquid pumped in a given time period.

How to Calculate Static power?

Static power calculator uses Static power of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Static Head of Centrifugal Pump)/1000 to calculate the Static power of centrifugal pump, The Static power formula is defined as the product of specific weight, discharge, and static head divided by 1000. Static power of centrifugal pump is denoted by P symbol.

How to calculate Static power using this online calculator? To use this online calculator for Static power, enter Specific weight of fluid in pump (w), Actual discharge at centrifugal pump outlet (Q) & Static Head of Centrifugal Pump (Hst) and hit the calculate button. Here is how the Static power calculation can be explained with given input values -> 0.011537 = (9810*0.056*21)/1000.

FAQ

What is Static power?
The Static power formula is defined as the product of specific weight, discharge, and static head divided by 1000 and is represented as P = (w*Q*Hst)/1000 or Static power of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Static Head of Centrifugal Pump)/1000. Specific weight of fluid in pump is the weight of fluid per unit volume, Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump & Static head of centrifugal pump is the sum of suction head and delivery head of the centrifugal pump.
How to calculate Static power?
The Static power formula is defined as the product of specific weight, discharge, and static head divided by 1000 is calculated using Static power of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Static Head of Centrifugal Pump)/1000. To calculate Static power, you need Specific weight of fluid in pump (w), Actual discharge at centrifugal pump outlet (Q) & Static Head of Centrifugal Pump (Hst). With our tool, you need to enter the respective value for Specific weight of fluid in pump, Actual discharge at centrifugal pump outlet & Static Head of Centrifugal Pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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