Head of Pump given Specific Speed Calculator

✖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.ⓘ Actual Discharge at Centrifugal Pump Outlet [Q]			+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 Centrifugal Pump [N_s]			+10% -10%

✖The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.ⓘ Head of Pump given Specific Speed [H_m]

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Head of Pump given Specific Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 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
Specific Speed of Centrifugal Pump: 3.75 Radian per Second --> 3.75 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_m = (ω*sqrt(Q)/N_s)^(4/3) --> (179.07*sqrt(0.056)/3.75)^(4/3)

Evaluating ... ...

H_m = 25.3579479371561

STEP 3: Convert Result to Output's Unit

25.3579479371561 Meter --> No Conversion Required

FINAL ANSWER

25.3579479371561 ≈ 25.35795 Meter <-- Manometric Head 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

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< Pump Parameters Calculators

Minimum speed for starting centrifugal pump

LaTeX 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

LaTeX 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

LaTeX 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

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

Head of Pump given Specific Speed Formula

LaTeX Go

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

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 Head of Pump given Specific Speed?

Head of Pump given Specific Speed calculator uses Manometric Head of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet)/Specific Speed of Centrifugal Pump)^(4/3) to calculate the Manometric Head of Centrifugal Pump, Head of Pump given Specific Speed formula is defined as the measure of the pump's head, which is the maximum height to which the pump can push a fluid, calculated based on the specific speed of the pump, which is a dimensionless quantity that characterizes the pump's performance. Manometric Head of Centrifugal Pump is denoted by H_m symbol.

How to calculate Head of Pump given Specific Speed using this online calculator? To use this online calculator for Head of Pump given Specific Speed, enter Angular Velocity (ω), Actual Discharge at Centrifugal Pump Outlet (Q) & Specific Speed of Centrifugal Pump (N_s) and hit the calculate button. Here is how the Head of Pump given Specific Speed calculation can be explained with given input values -> 25.35795 = (179.07*sqrt(0.056)/3.75)^(4/3).

FAQ

What is Head of Pump given Specific Speed?

Head of Pump given Specific Speed formula is defined as the measure of the pump's head, which is the maximum height to which the pump can push a fluid, calculated based on the specific speed of the pump, which is a dimensionless quantity that characterizes the pump's performance and is represented as H_m = (ω*sqrt(Q)/N_s)^(4/3) or Manometric Head of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet)/Specific Speed of Centrifugal Pump)^(4/3). The 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 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.

How to calculate Head of Pump given Specific Speed?

Head of Pump given Specific Speed formula is defined as the measure of the pump's head, which is the maximum height to which the pump can push a fluid, calculated based on the specific speed of the pump, which is a dimensionless quantity that characterizes the pump's performance is calculated using Manometric Head of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet)/Specific Speed of Centrifugal Pump)^(4/3). To calculate Head of Pump given Specific Speed, you need Angular Velocity (ω), Actual Discharge at Centrifugal Pump Outlet (Q) & Specific Speed of Centrifugal Pump (N_s). With our tool, you need to enter the respective value for Angular Velocity, Actual Discharge at Centrifugal Pump Outlet & Specific Speed 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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