Volumetric Displacement of Vane Pumps Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)
VD = pi/2*e*wvp*(dc+dr)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Theoretical Volumetric Displacement - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement is the amount of liquid displaced per revolution.
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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VD = pi/2*e*wvp*(dc+dr) --> pi/2*0.01*20.37*(0.075+0.05)
Evaluating ... ...
VD = 0.0399964014710151
STEP 3: Convert Result to Output's Unit
0.0399964014710151 Cubic Meter Per Revolution --> No Conversion Required
FINAL ANSWER
0.0399964014710151 0.039996 Cubic Meter Per Revolution <-- Theoretical Volumetric Displacement
(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

Volumetric Displacement of Vane Pumps Formula

Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)
VD = pi/2*e*wvp*(dc+dr)

What is theoretical volumetric displacement?

Volumetric displacement or the theoretical volumetric displacement of a positive displacement pump is the amount of liquid pumped in one revolution.

How to Calculate Volumetric Displacement of Vane Pumps?

Volumetric Displacement of Vane Pumps calculator uses Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor) to calculate the Theoretical Volumetric Displacement, The Volumetric displacement of vane pumps formula is defined as the product of pi, eccentricity of pump, width of the rotor and sum of the diameter of cam ring and rotor. Theoretical Volumetric Displacement is denoted by VD symbol.

How to calculate Volumetric Displacement of Vane Pumps using this online calculator? To use this online calculator for Volumetric Displacement of Vane Pumps, enter Eccentricity (e), Width of Rotor in Vane Pump (wvp), Diameter of Cam Ring (dc) & Diameter of Rotor (dr) and hit the calculate button. Here is how the Volumetric Displacement of Vane Pumps calculation can be explained with given input values -> 0.039996 = pi/2*0.01*20.37*(0.075+0.05).

FAQ

What is Volumetric Displacement of Vane Pumps?
The Volumetric displacement of vane pumps formula is defined as the product of pi, eccentricity of pump, width of the rotor and sum of the diameter of cam ring and rotor and is represented as VD = pi/2*e*wvp*(dc+dr) or Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor). 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.
How to calculate Volumetric Displacement of Vane Pumps?
The Volumetric displacement of vane pumps formula is defined as the product of pi, eccentricity of pump, width of the rotor and sum of the diameter of cam ring and rotor is calculated using Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor). To calculate Volumetric Displacement of Vane Pumps, you need Eccentricity (e), Width of Rotor in Vane Pump (wvp), Diameter of Cam Ring (dc) & Diameter of Rotor (dr). 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 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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