Discharge of pump given specific speed Calculator

✖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 Centrifugal Pump [N_s]			+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 Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates.ⓘ Angular Velocity [ω]			+10% -10%

✖Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.ⓘ Discharge of pump given specific speed [Q]

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Formula

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Discharge of pump given specific speed

Formula

Q = {(N s \cdot \frac{{H m}^{\frac{3}{4}}}{ω})}^{2}

Example

0.055808 m³/s = {(3.75 rad/s \cdot \frac{{25.3 m}^{\frac{3}{4}}}{179.07 rad/s})}^{2}

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Discharge of pump given specific speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2
Q = (N_s*(H_m^(3/4))/ω)^2
This formula uses 4 Variables

Variables Used

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.
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.
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.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates.

STEP 1: Convert Input(s) to Base Unit

Specific Speed of Centrifugal Pump: 3.75 Radian per Second --> 3.75 Radian per Second No Conversion Required
Manometric Head of Centrifugal Pump: 25.3 Meter --> 25.3 Meter No Conversion Required
Angular Velocity: 179.07 Radian per Second --> 179.07 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (N_s*(H_m^(3/4))/ω)^2 --> (3.75*(25.3^(3/4))/179.07)^2

Evaluating ... ...

Q = 0.0558081530571735

STEP 3: Convert Result to Output's Unit

0.0558081530571735 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0558081530571735 ≈ 0.055808 Cubic Meter per Second <-- Actual Discharge at Centrifugal Pump Outlet

(Calculation completed in 00.004 seconds)

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< 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)

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)

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

Angular Velocity of Centrifugal Pump

Go Angular Velocity = (2*pi*Speed of Impeller in RPM)/60

Discharge of pump given specific speed Formula

Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2
Q = (N_s*(H_m^(3/4))/ω)^2

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 Discharge of pump given specific speed?

Discharge of pump given specific speed calculator uses Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2 to calculate the Actual Discharge at Centrifugal Pump Outlet, The Discharge of pump given specific speed formula is defined as the square root of the ratio of the product of specific speed and head raised to the power of 3/4 to the speed of the pump. Actual Discharge at Centrifugal Pump Outlet is denoted by Q symbol.

How to calculate Discharge of pump given specific speed using this online calculator? To use this online calculator for Discharge of pump given specific speed, enter Specific Speed of Centrifugal Pump (N_s), Manometric Head of Centrifugal Pump (H_m) & Angular Velocity (ω) and hit the calculate button. Here is how the Discharge of pump given specific speed calculation can be explained with given input values -> 0.055808 = (3.75*(25.3^(3/4))/179.07)^2.

FAQ

What is Discharge of pump given specific speed?

The Discharge of pump given specific speed formula is defined as the square root of the ratio of the product of specific speed and head raised to the power of 3/4 to the speed of the pump and is represented as Q = (N_s*(H_m^(3/4))/ω)^2 or Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2. 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, The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work & The Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates.

How to calculate Discharge of pump given specific speed?

The Discharge of pump given specific speed formula is defined as the square root of the ratio of the product of specific speed and head raised to the power of 3/4 to the speed of the pump is calculated using Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2. To calculate Discharge of pump given specific speed, you need Specific Speed of Centrifugal Pump (N_s), Manometric Head of Centrifugal Pump (H_m) & Angular Velocity (ω). With our tool, you need to enter the respective value for Specific Speed of Centrifugal Pump, Manometric Head of Centrifugal Pump & Angular Velocity 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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