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 = (Wl/[g])*Vw2*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 = (Wl/[g])*Vw2*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 00.004 seconds)

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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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National Institute of Technology (NIT), Tiruchirapalli
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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

Work done per second for Centrifugal pumps Formula

​LaTeX ​Go
Work Done by Pump Per Second = (Weight of Liquid in Pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet
W = (Wl/[g])*Vw2*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, Work done per second for Centrifugal pumps formula is defined as the rate of energy transferred per unit time, which is a critical parameter in evaluating the performance of centrifugal pumps, as it directly affects the pump's efficiency and overall system operation. 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 (Wl), Velocity of Whirl at Outlet (Vw2) & 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?
Work done per second for Centrifugal pumps formula is defined as the rate of energy transferred per unit time, which is a critical parameter in evaluating the performance of centrifugal pumps, as it directly affects the pump's efficiency and overall system operation and is represented as W = (Wl/[g])*Vw2*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?
Work done per second for Centrifugal pumps formula is defined as the rate of energy transferred per unit time, which is a critical parameter in evaluating the performance of centrifugal pumps, as it directly affects the pump's efficiency and overall system operation 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 (Wl), Velocity of Whirl at Outlet (Vw2) & 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
  • 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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