Work done per second for Centrifugal pumps Calculator

✖Weight of liquid in pump is the mass equivalent force into the liquid entering/exiting the pump.ⓘ Weight of liquid in pump [W_l]			+10% -10%
✖The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet.ⓘ Velocity of Whirl at Outlet [V_w2]			+10% -10%
✖The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.ⓘ Tangential Velocity of Impeller at Outlet [u₂]			+10% -10%

✖Work Done by Pump per Second is the amount of total work that has been done by the Centrifugal Pump.ⓘ Work done per second for Centrifugal pumps [W]

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Formula

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Work done per second for Centrifugal pumps

Formula

`"W" = ("W"_{"l"}/"[g]")*"V"_{"w2"}*"u"_{"2"}`

Example

`"17049.66N*m"=("550N"/"[g]")*"16m/s"*"19m/s"`

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Work done per second for Centrifugal pumps Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet
W = (W_l/[g])*V_w2*u₂
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Work Done by Pump per Second - (Measured in Joule) - Work Done by Pump per Second is the amount of total work that has been done by the Centrifugal Pump.
Weight of liquid in pump - (Measured in Newton) - Weight of liquid in pump is the mass equivalent force into the liquid entering/exiting the pump.
Velocity of Whirl at Outlet - (Measured in Meter per Second) - The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet.
Tangential Velocity of Impeller at Outlet - (Measured in Meter per Second) - The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.

STEP 1: Convert Input(s) to Base Unit

Weight of liquid in pump: 550 Newton --> 550 Newton No Conversion Required
Velocity of Whirl at Outlet: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Tangential Velocity of Impeller at Outlet: 19 Meter per Second --> 19 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (W_l/[g])*V_w2*u₂ --> (550/[g])*16*19

Evaluating ... ...

W = 17049.655080991

STEP 3: Convert Result to Output's Unit

17049.655080991 Joule -->17049.655080991 Newton Meter (Check conversion here)

FINAL ANSWER

17049.655080991 ≈ 17049.66 Newton Meter <-- Work Done by Pump per Second

(Calculation completed in 00.005 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Centrifugal Pumps » Pump Parameters » Work done per second for Centrifugal pumps

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

Work done per second for Centrifugal pumps Formula

Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet
W = (W_l/[g])*V_w2*u₂

What is whirl velocity?

The whirl velocity is the tangential component of absolute velocity at the blade inlet and outlet. This component of velocity is responsible for the whirling of the impeller.

How to Calculate Work done per second for Centrifugal pumps?

Work done per second for Centrifugal pumps calculator uses Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet to calculate the Work Done by Pump per Second, The work done per second for Centrifugal pumps formula is defined as the product of weight of liquid divided by acceleration due to gravity, velocity of whirl at outlet and tangential velocity of impeller at outlet. Work Done by Pump per Second is denoted by W symbol.

How to calculate Work done per second for Centrifugal pumps using this online calculator? To use this online calculator for Work done per second for Centrifugal pumps, enter Weight of liquid in pump (W_l), Velocity of Whirl at Outlet (V_w2) & Tangential Velocity of Impeller at Outlet (u₂) and hit the calculate button. Here is how the Work done per second for Centrifugal pumps calculation can be explained with given input values -> 17049.66 = (550/[g])*16*19.

FAQ

What is Work done per second for Centrifugal pumps?

The work done per second for Centrifugal pumps formula is defined as the product of weight of liquid divided by acceleration due to gravity, velocity of whirl at outlet and tangential velocity of impeller at outlet and is represented as W = (W_l/[g])*V_w2*u₂ or Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet. Weight of liquid in pump is the mass equivalent force into the liquid entering/exiting the pump, The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet & The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.

How to calculate Work done per second for Centrifugal pumps?

The work done per second for Centrifugal pumps formula is defined as the product of weight of liquid divided by acceleration due to gravity, velocity of whirl at outlet and tangential velocity of impeller at outlet is calculated using Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet. To calculate Work done per second for Centrifugal pumps, you need Weight of liquid in pump (W_l), Velocity of Whirl at Outlet (V_w2) & Tangential Velocity of Impeller at Outlet (u₂). With our tool, you need to enter the respective value for Weight of liquid in pump, Velocity of Whirl at Outlet & Tangential Velocity of Impeller at Outlet 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 Work Done by Pump per Second?

In this formula, Work Done by Pump per Second uses Weight of liquid in pump, Velocity of Whirl at Outlet & Tangential Velocity of Impeller at Outlet. We can use 2 other way(s) to calculate the same, which is/are as follows -

Work Done by Pump per Second = Torque at Centrifugal Pump Outlet*Angular velocity of centrifugal pump
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))

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