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 of centrifugal pump)^2
Q = (Ns*(Hm^(3/4))/N)^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 of centrifugal pump - (Measured in Radian per Second) - 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 of centrifugal pump: 179.07 Radian per Second --> 179.07 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (Ns*(Hm^(3/4))/N)^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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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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

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 of centrifugal pump)^2
Q = (Ns*(Hm^(3/4))/N)^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 of centrifugal pump)^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 (Ns), Manometric Head of Centrifugal Pump (Hm) & Angular velocity of centrifugal pump (N) and hit the calculate button. Here is how the Discharge of pump given specific speed calculation can be explained with given input values -> 0.055996 = (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 = (Ns*(Hm^(3/4))/N)^2 or Actual discharge at centrifugal pump outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular velocity of centrifugal pump)^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 & 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 of centrifugal pump)^2. To calculate Discharge of pump given specific speed, you need Specific Speed of Centrifugal Pump (Ns), Manometric Head of Centrifugal Pump (Hm) & Angular velocity of centrifugal pump (N). With our tool, you need to enter the respective value for Specific Speed of Centrifugal Pump, Manometric Head of Centrifugal Pump & Angular velocity 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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