Head of a pump given specific speed Calculator

Category	Physics ↺
Physics	Fluid Mechanics ↺
Fluid-Mechanics	Basics of turbomachines ↺

✖Speed of a machine/body in rpm.ⓘ Speed [N]			+10% -10%
✖Discharge is the rate of flow of a liquidⓘ Discharge [Q]			+10% -10%
✖Specific speed of a pump is the speed of machines discharging 1m3/sec under 1m head.ⓘ Specific speed of a pump [N_s]			+10% -10%

✖Head is defined as the height of water columnsⓘ Head of a pump given specific speed [H]

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Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 100+ more calculators!

Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Length of weir or notch for velocity of approach

Length=Discharge/((2/3)*coefficient of discharging*sqrt(2*[g])*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5))) GO

Cross-sectional area when Discharge is given from Manning's equation

Cross sectional area=(Discharge*Manning’s Roughness Coefficient)/(hydraulic radius^(2/3)*Bed Slope^(1/2)) GO

Slope of Gradient of the Stream bed when Discharge is given in Manning's equation

Bed Slope=((Discharge*Manning’s Roughness Coefficient)/(Cross sectional area*(hydraulic radius^2/3)))^2 GO

Hydraulic radius when Discharge is given in Manning equation

hydraulic radius=(Discharge*Manning’s Roughness Coefficient)/(Cross sectional area*Bed Slope^1/2)^(2/3) GO

Cease-to-flow Depth when Depth at the Gauging Station given

Cease-to-flow Depth=Depth at the Gauging Station-Head at the Control*(Discharge)-Terms of Order^2 GO

Depth at the Gauging Station

Depth at the Gauging Station=Cease-to-flow Depth+Head at the Control*(Discharge)+Terms of Order^2 GO

Length of weir or notch without velocity of approach

Length=Discharge/((2/3)*coefficient of discharging*sqrt(2*[g])*(initial height of liquid^1.5)) GO

Length of weir considering Francis's formula

Length=Discharge/(1.84*(((initial height of liquid+head due to Va)^1.5)-(head due to Va^1.5))) GO

Velocity of piston during retraction

Velocity=Discharge/(Area of piston-Area of piston rod) GO

Estimated Distance when Discharge is given in Tracer Method

Estimated Distance=50*sqrt(Discharge) GO

Velocity of piston during extension

Velocity=Discharge/Area of piston GO

< 2 Other formulas that calculate the same Output

Head available at the base of the nozzle

Head=Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(flow velocity^2)/(Diameter of Pipe*2*[g])) GO

Head of a turbine given specific speed

Head=((Speed*sqrt(Power))/Specific speed of a turbine)^(4/5) GO

Head of a pump given specific speed Formula

Head=(Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3)
H=(N*sqrt(Q)/N<sub>s</sub>)^(4/3)

More formulas

Specific speed of a pump GO

Specific speed of a turbine GO

Unit flow/discharge GO

Unit speed GO

Unit power GO

Speed ratio GO

Angular speed given specific speed of a pump GO

Discharge of a pump given specific speed GO

Angular speed of a turbine given specific speed GO

Power of a turbine given specific speed GO

Head of a turbine given specific speed GO

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 a pump given specific speed?

Head of a pump given specific speed calculator uses Head=(Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3) to calculate the Head, The Head of a pump given specific speed formula is defined as the ratio of product of speed and square root of discharge to the specific speed of pump whole raised to the power of 4/3. Head and is denoted by H symbol.

How to calculate Head of a pump given specific speed using this online calculator? To use this online calculator for Head of a pump given specific speed, enter Speed (N), Discharge (Q) and Specific speed of a pump (N_s) and hit the calculate button. Here is how the Head of a pump given specific speed calculation can be explained with given input values -> 1 = (10.4719755119667*sqrt(1)/10.4719755119667)^(4/3).

FAQ

What is Head of a pump given specific speed?

The Head of a pump given specific speed formula is defined as the ratio of product of speed and square root of discharge to the specific speed of pump whole raised to the power of 4/3 and is represented as H=(N*sqrt(Q)/N_s)^(4/3) or Head=(Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3). Speed of a machine/body in rpm, Discharge is the rate of flow of a liquid and Specific speed of a pump is the speed of machines discharging 1m3/sec under 1m head.

How to calculate Head of a pump given specific speed?

The Head of a pump given specific speed formula is defined as the ratio of product of speed and square root of discharge to the specific speed of pump whole raised to the power of 4/3 is calculated using Head=(Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3). To calculate Head of a pump given specific speed, you need Speed (N), Discharge (Q) and Specific speed of a pump (N_s). With our tool, you need to enter the respective value for Speed, Discharge and Specific speed of a pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Head?

In this formula, Head uses Speed, Discharge and Specific speed of a pump. We can use 2 other way(s) to calculate the same, which is/are as follows -

Head=((Speed*sqrt(Power))/Specific speed of a turbine)^(4/5)
Head=Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(flow velocity^2)/(Diameter of Pipe*2*[g]))

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