Specific Speed of Pump Calculator

✖Angular velocity of centrifugal pump refers to how fast the pump impeller rotates.ⓘ Angular velocity of centrifugal pump [N]			+10% -10%
✖Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.ⓘ Actual discharge at centrifugal pump outlet [Q]			+10% -10%
✖The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.ⓘ Manometric Head of Centrifugal Pump [H_m]			+10% -10%

✖The Specific Speed of Centrifugal Pump is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter.ⓘ Specific Speed of Pump [N_s]

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Formula

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Specific Speed of Pump

Formula

`"N"_{"s"} = ("N"*sqrt("Q"))/("H"_{"m"}^(3/4))`

Example

`"3.75644rad/s"=("179.07rad/s"*sqrt("0.056m³/s"))/(("25.3m")^(3/4))`

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Specific Speed of Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Speed of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/(Manometric Head of Centrifugal Pump^(3/4))
N_s = (N*sqrt(Q))/(H_m^(3/4))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Specific Speed of Centrifugal Pump - (Measured in Radian per Second) - The Specific Speed of Centrifugal Pump is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter.
Angular velocity of centrifugal pump - (Measured in Radian per Second) - Angular velocity of centrifugal pump refers to how fast the pump impeller rotates.
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.
Manometric Head of Centrifugal Pump - (Measured in Meter) - The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.

STEP 1: Convert Input(s) to Base Unit

Angular velocity of centrifugal pump: 179.07 Radian per Second --> 179.07 Radian per Second No Conversion Required
Actual discharge at centrifugal pump outlet: 0.056 Cubic Meter per Second --> 0.056 Cubic Meter per Second No Conversion Required
Manometric Head of Centrifugal Pump: 25.3 Meter --> 25.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_s = (N*sqrt(Q))/(H_m^(3/4)) --> (179.07*sqrt(0.056))/(25.3^(3/4))

Evaluating ... ...

N_s = 3.7564399982728

STEP 3: Convert Result to Output's Unit

3.7564399982728 Radian per Second --> No Conversion Required

FINAL ANSWER

3.7564399982728 ≈ 3.75644 Radian per Second <-- Specific Speed of Centrifugal Pump

(Calculation completed in 00.004 seconds)

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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

Specific Speed of Pump Formula

Specific Speed of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/(Manometric Head of Centrifugal Pump^(3/4))
N_s = (N*sqrt(Q))/(H_m^(3/4))

What is specific speed of a pump?

The specific speed of a pump is defined as the speed of a geometrically similar pump which would deliver unit quantity (one cubic meter of liquid per second) against a unit head(one meter). It is denoted by Ns. The specific speed is a characteristic of pumps which can be used as a basis for comparing the performance of different pumps.

How to Calculate Specific Speed of Pump?

Specific Speed of Pump calculator uses Specific Speed of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/(Manometric Head of Centrifugal Pump^(3/4)) to calculate the Specific Speed of Centrifugal Pump, The Specific Speed of Pump formula is defined as an index used to predict desired pump or turbine performance. i.e. it predicts the general shape of a pump's impeller. Specific Speed of Centrifugal Pump is denoted by N_s symbol.

How to calculate Specific Speed of Pump using this online calculator? To use this online calculator for Specific Speed of Pump, enter Angular velocity of centrifugal pump (N), Actual discharge at centrifugal pump outlet (Q) & Manometric Head of Centrifugal Pump (H_m) and hit the calculate button. Here is how the Specific Speed of Pump calculation can be explained with given input values -> 3.75644 = (179.07*sqrt(0.056))/(25.3^(3/4)).

FAQ

What is Specific Speed of Pump?

The Specific Speed of Pump formula is defined as an index used to predict desired pump or turbine performance. i.e. it predicts the general shape of a pump's impeller and is represented as N_s = (N*sqrt(Q))/(H_m^(3/4)) or Specific Speed of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/(Manometric Head of Centrifugal Pump^(3/4)). Angular velocity of centrifugal pump refers to how fast the pump impeller rotates, Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump & The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.

How to calculate Specific Speed of Pump?

The Specific Speed of Pump formula is defined as an index used to predict desired pump or turbine performance. i.e. it predicts the general shape of a pump's impeller is calculated using Specific Speed of Centrifugal Pump = (Angular velocity of centrifugal pump*sqrt(Actual discharge at centrifugal pump outlet))/(Manometric Head of Centrifugal Pump^(3/4)). To calculate Specific Speed of Pump, you need Angular velocity of centrifugal pump (N), Actual discharge at centrifugal pump outlet (Q) & Manometric Head of Centrifugal Pump (H_m). With our tool, you need to enter the respective value for Angular velocity of centrifugal pump, Actual discharge at centrifugal pump outlet & Manometric 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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