Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 100+ more calculators!
Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has verified this Calculator and 100+ more calculators!

7 Other formulas that you can solve using the same Inputs

Angular speed of vane pump given theoretical discharge
Angular speed of the driving member in rpm=(Theoretical discharge of a pump*2)/(pi*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)) GO
Width of vane pump given theoretical discharge
Width of rotor=(Theoretical discharge of a pump*2)/(pi*Eccentricity *Angular speed of the driving member in rpm*(Diameter of cam ring+Diameter of rotor)) GO
Theoretical discharge of a vane pump given diameter of camring and rotor
Theoretical discharge of a pump=(pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)*Angular speed of the driving member in rpm GO
Theoretical volumetric displacement of an external gear pump
Theoretical volumetric displacement=(pi/4)*Width of rotor*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2) GO
Width of the rotor of a vane pump given volumetric displacement
Width of rotor=(Theoretical volumetric displacement*2)/(pi*Eccentricity *(Diameter of cam ring+Diameter of rotor)) GO
Vane pump constant
Vane pump constant=(Diameter of cam ring+Diameter of rotor)*Width of rotor*(pi/2) GO
Eccentricity of a vane pump
Eccentricity =(Diameter of cam ring-Diameter of rotor)/2 GO

4 Other formulas that calculate the same Output

Theoretical volumetric displacement given bore diameter and swash plate inclination
Theoretical volumetric displacement=Number of pistons*Area of piston*Pitch circle diameter of the bore*tan(Swash plate inclination) GO
Theoretical volumetric displacement of an external gear pump
Theoretical volumetric displacement=(pi/4)*Width of rotor*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2) GO
Theoretical volumetric displacement given area of piston and stroke length
Theoretical volumetric displacement=Number of pistons*Area of piston*Stroke length of a piston pump GO
Theoretical volumetric displacement given torque and pressure
Theoretical volumetric displacement=Theoretical torque/Pressure GO

Volumetric displacement of vane pumps Formula

Theoretical volumetric displacement=(pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)
V<sub>D</sub>=(pi/2)*e*w*(d<sub>c</sub>+d<sub>r</sub>)
More formulas
Eccentricity of a vane pump GO
Theoretical discharge of a vane pump given volumetric displacement GO
Vane pump constant GO
Theoretical discharge of a vane pump given diameter of camring and rotor GO
Width of the rotor of a vane pump given volumetric displacement GO
Width of vane pump given theoretical discharge GO
Angular speed of vane pump given theoretical discharge GO

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*(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 and 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 (w), Diameter of cam ring (dc) and 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 -> 117.8097 = (pi/2)*5*1*(10+5).

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*w*(dc+dr) or Theoretical volumetric displacement=(pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor). Eccentricity of a pump is the difference between cam ring diameter and rotor diameter, Width of rotor is the width of the rotor of a pump, Diameter of cam ring is the diameter of cam ring of a vane pump and 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*(Diameter of cam ring+Diameter of rotor). To calculate Volumetric displacement of vane pumps, you need Eccentricity (e), Width of rotor (w), Diameter of cam ring (dc) and Diameter of rotor (dr). With our tool, you need to enter the respective value for Eccentricity , Width of rotor, Diameter of cam ring and Diameter of rotor 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 volumetric displacement?
In this formula, Theoretical volumetric displacement uses Eccentricity , Width of rotor, Diameter of cam ring and Diameter of rotor. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Theoretical volumetric displacement=(pi/4)*Width of rotor*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)
  • Theoretical volumetric displacement=Number of pistons*Area of piston*Stroke length of a piston pump
  • Theoretical volumetric displacement=Number of pistons*Area of piston*Pitch circle diameter of the bore*tan(Swash plate inclination)
  • Theoretical volumetric displacement=Theoretical torque/Pressure
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