Work done per second when Flow at Inlet is not Radial 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)-(Velocity of Whirl at Inlet*Tangential Velocity of Impeller at Inlet))
W = (Wl/[g])*((Vw2*u2)-(Vw1*u1))
This formula uses 1 Constants, 6 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.
Velocity of Whirl at Inlet - (Measured in Meter per Second) - The Velocity of Whirl at Inlet is the tangential component of the absolute velocity.
Tangential Velocity of Impeller at Inlet - (Measured in Meter per Second) - The Tangential Velocity of Impeller at Inlet is the velocity at the inlet of fluid flow.
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
Velocity of Whirl at Inlet: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Tangential Velocity of Impeller at Inlet: 17.1 Meter per Second --> 17.1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (Wl/[g])*((Vw2*u2)-(Vw1*u1)) --> (550/[g])*((16*19)-(2*17.1))
Evaluating ... ...
W = 15131.5688843795
STEP 3: Convert Result to Output's Unit
15131.5688843795 Joule -->15131.5688843795 Newton Meter (Check conversion ​here)
FINAL ANSWER
15131.5688843795 15131.57 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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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 when Flow at Inlet is not Radial Formula

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))
W = (Wl/[g])*((Vw2*u2)-(Vw1*u1))

What is tangential velocity?

Tangential velocity is the linear speed of any object moving along a circular path. When an object moves in a circular path at a distance r from the center, then the body’s velocity is directed tangentially at any instant.

How to Calculate Work done per second when Flow at Inlet is not Radial?

Work done per second when Flow at Inlet is not Radial 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)-(Velocity of Whirl at Inlet*Tangential Velocity of Impeller at Inlet)) to calculate the Work Done by Pump per Second, The Work done per second when flow at inlet is not radial formula is defined as the difference between the product of whirl velocity and tangential velocity at outlet and inlet multiplied by the ratio of weight of liquid to acceleration due to gravity. Work Done by Pump per Second is denoted by W symbol.

How to calculate Work done per second when Flow at Inlet is not Radial using this online calculator? To use this online calculator for Work done per second when Flow at Inlet is not Radial, enter Weight of liquid in pump (Wl), Velocity of Whirl at Outlet (Vw2), Tangential Velocity of Impeller at Outlet (u2), Velocity of Whirl at Inlet (Vw1) & Tangential Velocity of Impeller at Inlet (u1) and hit the calculate button. Here is how the Work done per second when Flow at Inlet is not Radial calculation can be explained with given input values -> 15131.57 = (550/[g])*((16*19)-(2*17.1)).

FAQ

What is Work done per second when Flow at Inlet is not Radial?
The Work done per second when flow at inlet is not radial formula is defined as the difference between the product of whirl velocity and tangential velocity at outlet and inlet multiplied by the ratio of weight of liquid to acceleration due to gravity and is represented as W = (Wl/[g])*((Vw2*u2)-(Vw1*u1)) or 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)). 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, The Velocity of Whirl at Inlet is the tangential component of the absolute velocity & The Tangential Velocity of Impeller at Inlet is the velocity at the inlet of fluid flow.
How to calculate Work done per second when Flow at Inlet is not Radial?
The Work done per second when flow at inlet is not radial formula is defined as the difference between the product of whirl velocity and tangential velocity at outlet and inlet multiplied by the ratio of weight of liquid to acceleration due to gravity 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)-(Velocity of Whirl at Inlet*Tangential Velocity of Impeller at Inlet)). To calculate Work done per second when Flow at Inlet is not Radial, you need Weight of liquid in pump (Wl), Velocity of Whirl at Outlet (Vw2), Tangential Velocity of Impeller at Outlet (u2), Velocity of Whirl at Inlet (Vw1) & Tangential Velocity of Impeller at Inlet (u1). 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, Velocity of Whirl at Inlet & Tangential Velocity of Impeller at Inlet 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, Velocity of Whirl at Inlet & Tangential Velocity of Impeller at Inlet. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Work Done by Pump per Second = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet
  • Work Done by Pump per Second = Torque at Centrifugal Pump Outlet*Angular velocity of centrifugal pump
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