Theoretical Discharge of Vane Pump given diameter of Camring and Rotor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member
Qvp = pi/2*e*wvp*(dc+dr)*N1
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Theoretical Discharge of Pump in Vane Pump - (Measured in Cubic Meter per Second) - Theoretical Discharge of Pump in Vane Pump is the volume of liquid pumped out in unit time.
Eccentricity - (Measured in Meter) - Eccentricity of a pump is the difference between cam ring diameter and rotor diameter.
Width of Rotor in Vane Pump - (Measured in Meter) - Width of Rotor in vane Pump is the width of the rotor of a pump.
Diameter of Cam Ring - (Measured in Meter) - Diameter of cam ring is the diameter of cam ring of a vane pump.
Diameter of Rotor - (Measured in Meter) - Diameter of rotor is the value of diameter of the rotor of a pump.
Angular Speed of Driving Member - (Measured in Radian per Second) - The Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member.
STEP 1: Convert Input(s) to Base Unit
Eccentricity: 0.01 Meter --> 0.01 Meter No Conversion Required
Width of Rotor in Vane Pump: 20.37 Meter --> 20.37 Meter No Conversion Required
Diameter of Cam Ring: 0.075 Meter --> 0.075 Meter No Conversion Required
Diameter of Rotor: 0.05 Meter --> 0.05 Meter No Conversion Required
Angular Speed of Driving Member: 200.49 Revolution per Minute --> 20.9952637028714 Radian per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qvp = pi/2*e*wvp*(dc+dr)*N1 --> pi/2*0.01*20.37*(0.075+0.05)*20.9952637028714
Evaluating ... ...
Qvp = 0.839734996049875
STEP 3: Convert Result to Output's Unit
0.839734996049875 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.839734996049875 0.839735 Cubic Meter per Second <-- Theoretical Discharge of Pump in Vane Pump
(Calculation completed in 00.004 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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8 Vane Pumps Calculators

Angular Speed of Vane Pump given Theoretical Discharge
Go Angular Speed of Driving Member = (2*Theoretical Discharge of Pump in Vane Pump)/(pi*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor))
Width of Vane Pump given Theoretical Discharge
Go Width of Rotor in Vane Pump = (2*Theoretical Discharge of Pump in Vane Pump)/(pi*Eccentricity*Angular Speed of Driving Member*(Diameter of Cam Ring+Diameter of Rotor))
Theoretical Discharge of Vane Pump given diameter of Camring and Rotor
Go Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member
Width of Rotor of Vane Pump given Volumetric Displacement
Go Width of Rotor in Vane Pump = (2*Theoretical Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor))
Volumetric Displacement of Vane Pumps
Go Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)
Vane Pump Constant
Go Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)
Theoretical Discharge of Vane Pump
Go Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member
Eccentricity of Vane Pump
Go Eccentricity = (Diameter of Cam Ring-Diameter of Rotor)/2

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor Formula

Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member
Qvp = pi/2*e*wvp*(dc+dr)*N1

What are some applications of vane pumps?

Some applications of vane pumps are: Aviation Service - Fuel Transfer, Deicing. Auto Industry - Fuels, Lubes, Refrigeration Coolants. Bulk Transfer of LPG and NH3. LPG Cylinder Filling.

How to Calculate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor calculator uses Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member to calculate the Theoretical Discharge of Pump in Vane Pump, The Theoretical Discharge of Vane Pump given diameter of Camring and Rotor formula is defined as the product of pi, eccentricity, the width of rotor, angular speed, and the sum of the diameter of the cam ring and rotor. Theoretical Discharge of Pump in Vane Pump is denoted by Qvp symbol.

How to calculate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor using this online calculator? To use this online calculator for Theoretical Discharge of Vane Pump given diameter of Camring and Rotor, enter Eccentricity (e), Width of Rotor in Vane Pump (wvp), Diameter of Cam Ring (dc), Diameter of Rotor (dr) & Angular Speed of Driving Member (N1) and hit the calculate button. Here is how the Theoretical Discharge of Vane Pump given diameter of Camring and Rotor calculation can be explained with given input values -> 0.839735 = pi/2*0.01*20.37*(0.075+0.05)*20.9952637028714.

FAQ

What is Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?
The Theoretical Discharge of Vane Pump given diameter of Camring and Rotor formula is defined as the product of pi, eccentricity, the width of rotor, angular speed, and the sum of the diameter of the cam ring and rotor and is represented as Qvp = pi/2*e*wvp*(dc+dr)*N1 or Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member. Eccentricity of a pump is the difference between cam ring diameter and rotor diameter, Width of Rotor in vane Pump is the width of the rotor of a pump, Diameter of cam ring is the diameter of cam ring of a vane pump, Diameter of rotor is the value of diameter of the rotor of a pump & The Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member.
How to calculate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?
The Theoretical Discharge of Vane Pump given diameter of Camring and Rotor formula is defined as the product of pi, eccentricity, the width of rotor, angular speed, and the sum of the diameter of the cam ring and rotor is calculated using Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member. To calculate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor, you need Eccentricity (e), Width of Rotor in Vane Pump (wvp), Diameter of Cam Ring (dc), Diameter of Rotor (dr) & Angular Speed of Driving Member (N1). With our tool, you need to enter the respective value for Eccentricity, Width of Rotor in Vane Pump, Diameter of Cam Ring, Diameter of Rotor & Angular Speed of Driving Member 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 Theoretical Discharge of Pump in Vane Pump?
In this formula, Theoretical Discharge of Pump in Vane Pump uses Eccentricity, Width of Rotor in Vane Pump, Diameter of Cam Ring, Diameter of Rotor & Angular Speed of Driving Member. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member
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