Vane efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vane Efficiency = Actual Head of Pump/Euler Head of Pump
ε = Hact/He
This formula uses 3 Variables
Variables Used
Vane Efficiency - Vane Efficiency is the effectiveness of the vanes in the pumps.
Actual Head of Pump - (Measured in Meter) - The Actual Head of Pump is the actual head imparted by the impeller to the liquid in the centrifugal pump.
Euler Head of Pump - (Measured in Meter) - Euler Head of Pump is the ideal head imparted by the impeller to the liquid in the centrifugal pump when the effect of slip is neglected.
STEP 1: Convert Input(s) to Base Unit
Actual Head of Pump: 12.8 Meter --> 12.8 Meter No Conversion Required
Euler Head of Pump: 15.2 Meter --> 15.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ε = Hact/He --> 12.8/15.2
Evaluating ... ...
ε = 0.842105263157895
STEP 3: Convert Result to Output's Unit
0.842105263157895 --> No Conversion Required
FINAL ANSWER
0.842105263157895 0.842105 <-- Vane Efficiency
(Calculation completed in 00.004 seconds)

Credits

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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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19 Geometric and Flow Parameters Calculators

Mechanical efficiency given Specific Weight of Liquid
​ Go Mechanical efficiency of centrifugal pump = (Specific weight of fluid in pump*(Actual discharge at centrifugal pump outlet+Leakage of Liquid from Impeller)*(Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet/[g]))/Input power to centrifugal pump
Overall efficiency
​ Go Overall efficiency of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/Input power to centrifugal pump
Flow velocity at outlet given volume of liquid
​ Go Flow velocity at outlet of centrifugal pump = Actual discharge at centrifugal pump outlet/(pi*Diameter of centrifugal pump impeller at outlet*Width of Impeller at Outlet)
Volume of liquid at outlet
​ Go Actual discharge at centrifugal pump outlet = pi*Diameter of centrifugal pump impeller at outlet*Width of Impeller at Outlet*Flow velocity at outlet of centrifugal pump
Flow velocity at inlet given volume of liquid
​ Go Flow velocity at inlet of centrifugal pump = Actual discharge at centrifugal pump outlet/(pi*Diameter of centrifugal pump impeller at inlet*Width of Impeller at Inlet)
Volume of liquid at inlet
​ Go Actual discharge at centrifugal pump outlet = pi*Diameter of centrifugal pump impeller at inlet*Width of Impeller at Inlet*Flow velocity at inlet of centrifugal pump
Thoma's cavitation factor
​ Go Thoma's Cavitation Factor = (Atmospheric Pressure Head for Pump-Suction head of centrifugal pump-Vapour Pressure Head)/Manometric Head of Centrifugal Pump
Leakage of Liquid given Volumetric Efficiency and Discharge
​ Go Leakage of Liquid from Impeller = (Actual discharge at centrifugal pump outlet/Volumetric efficiency of centrifugal pump)-Actual discharge at centrifugal pump outlet
Torque at outlet
​ Go Torque at Centrifugal Pump Outlet = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Radius of Impeller at Outlet
Flow velocity given flow ratio
​ Go Flow velocity at outlet of centrifugal pump = Flow ratio centrifugal pump*sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Flow ratio
​ Go Flow ratio centrifugal pump = Flow velocity at outlet of centrifugal pump/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Diameter of delivery pipe
​ Go Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe))
Speed ratio
​ Go Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Diameter of suction pipe
​ Go Diameter of suction pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Suction Pipe))
Net positive suction head
​ Go Net Positive Suction Head of Centrifugal Pump = Atmospheric Pressure Head for Pump-Static Head of Centrifugal Pump-Vapour Pressure Head
Thoma's Cavitation factor given Net Positive Suction Head
​ Go Thoma's Cavitation Factor = Net Positive Suction Head of Centrifugal Pump/Manometric Head of Centrifugal Pump
Weight of liquid
​ Go Weight of liquid in pump = Specific Weight of Liquid*Actual discharge at centrifugal pump outlet
Static head
​ Go Static Head of Centrifugal Pump = Suction head of centrifugal pump+Delivery head of pump
Vane efficiency
​ Go Vane Efficiency = Actual Head of Pump/Euler Head of Pump

Vane efficiency Formula

Vane Efficiency = Actual Head of Pump/Euler Head of Pump
ε = Hact/He

What is the general value of vane efficiency?

It has been observed through experiments that as the number of vanes is increased the value of ε increases and approaches unity. The value of ε, in addition to number of vanes, depends on the shape of the vane and the outlet vane angle. In general, for radial flow pumps the value of ε varies from 0.6 to 0.8 as the number of vanes is increased from 4 to 12. However, for impeller with vanes more than 24 the value of ε may be taken as unity, unless mentioned otherwise.

How to Calculate Vane efficiency?

Vane efficiency calculator uses Vane Efficiency = Actual Head of Pump/Euler Head of Pump to calculate the Vane Efficiency, The Vane efficiency formula is defined as the ratio of actual head imparted by the impeller to the Euler head. Vane Efficiency is denoted by ε symbol.

How to calculate Vane efficiency using this online calculator? To use this online calculator for Vane efficiency, enter Actual Head of Pump (Hact) & Euler Head of Pump (He) and hit the calculate button. Here is how the Vane efficiency calculation can be explained with given input values -> 0.842105 = 12.8/15.2.

FAQ

What is Vane efficiency?
The Vane efficiency formula is defined as the ratio of actual head imparted by the impeller to the Euler head and is represented as ε = Hact/He or Vane Efficiency = Actual Head of Pump/Euler Head of Pump. The Actual Head of Pump is the actual head imparted by the impeller to the liquid in the centrifugal pump & Euler Head of Pump is the ideal head imparted by the impeller to the liquid in the centrifugal pump when the effect of slip is neglected.
How to calculate Vane efficiency?
The Vane efficiency formula is defined as the ratio of actual head imparted by the impeller to the Euler head is calculated using Vane Efficiency = Actual Head of Pump/Euler Head of Pump. To calculate Vane efficiency, you need Actual Head of Pump (Hact) & Euler Head of Pump (He). With our tool, you need to enter the respective value for Actual Head of Pump & Euler Head of Pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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