Work done per second per unit weight of liquid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work Done by Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]
Wcp = (Vw2*u2)/[g]
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Work Done by Centrifugal Pump - (Measured in Joule) - Work Done by Centrifugal Pump per Second per Unit Weight of the liquid is the amount of unit work done by 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
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
Wcp = (Vw2*u2)/[g] --> (16*19)/[g]
Evaluating ... ...
Wcp = 30.999372874529
STEP 3: Convert Result to Output's Unit
30.999372874529 Joule -->30.999372874529 Newton Meter (Check conversion here)
FINAL ANSWER
30.999372874529 30.99937 Newton Meter <-- Work Done by Centrifugal Pump
(Calculation completed in 00.004 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Institute of Aeronautical Engineering (IARE), Hyderabad
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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 per unit weight of liquid Formula

Work Done by Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]
Wcp = (Vw2*u2)/[g]

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 per unit weight of liquid?

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

How to calculate Work done per second per unit weight of liquid using this online calculator? To use this online calculator for Work done per second per unit weight of liquid, enter 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 per unit weight of liquid calculation can be explained with given input values -> 30.99937 = (16*19)/[g].

FAQ

What is Work done per second per unit weight of liquid?
The Work done per second per unit weight of liquid formula is defined as the ratio of product of velocity of whirl at outlet and tangential velocity of impeller at outlet to the acceleration due to gravity and is represented as Wcp = (Vw2*u2)/[g] or Work Done by Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]. 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 per unit weight of liquid?
The Work done per second per unit weight of liquid formula is defined as the ratio of product of velocity of whirl at outlet and tangential velocity of impeller at outlet to the acceleration due to gravity is calculated using Work Done by Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]. To calculate Work done per second per unit weight of liquid, you need Velocity of Whirl at Outlet (Vw2) & Tangential Velocity of Impeller at Outlet (u2). With our tool, you need to enter the respective value for 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 Centrifugal Pump?
In this formula, Work Done by Centrifugal Pump uses Velocity of Whirl at Outlet & Tangential Velocity of Impeller at Outlet. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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]
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