Volumetric Displacement of Vane Pumps Calculator

✖Eccentricity of a pump is the difference between cam ring diameter and rotor diameter.ⓘ Eccentricity [e]			+10% -10%
✖Width of Rotor in vane Pump is the width of the rotor of a pump.ⓘ Width of Rotor in Vane Pump [w_vp]			+10% -10%
✖Diameter of cam ring is the diameter of cam ring of a vane pump.ⓘ Diameter of Cam Ring [d_c]			+10% -10%
✖Diameter of rotor is the value of diameter of the rotor of a pump.ⓘ Diameter of Rotor [d_r]			+10% -10%

✖Theoretical volumetric displacement is the amount of liquid displaced per revolution.ⓘ Volumetric Displacement of Vane Pumps [V_D]

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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)
V_D = pi/2*e*w_vp*(d_c+d_r)
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

V_D = pi/2*e*w_vp*(d_c+d_r) --> pi/2*0.01*20.37*(0.075+0.05)

Evaluating ... ...

V_D = 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 00.020 seconds)

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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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< Vane Pumps Calculators

Volumetric Displacement of Vane Pumps

LaTeX Go Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)

Vane Pump Constant

LaTeX Go Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)

Theoretical Discharge of Vane Pump

LaTeX Go Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member

Eccentricity of Vane Pump

LaTeX Go Eccentricity = (Diameter of Cam Ring-Diameter of Rotor)/2

Volumetric Displacement of Vane Pumps Formula

LaTeX Go

Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)
V_D = pi/2*e*w_vp*(d_c+d_r)

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, Volumetric Displacement of Vane Pumps formula is defined as the volume of fluid displaced by a vane pump per rotation, which is a critical parameter in hydraulic systems, as it directly affects the pump's efficiency and overall performance, and is used to determine the pump's output and flow rate. Theoretical Volumetric Displacement is denoted by V_D 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 (w_vp), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r) 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?

Volumetric Displacement of Vane Pumps formula is defined as the volume of fluid displaced by a vane pump per rotation, which is a critical parameter in hydraulic systems, as it directly affects the pump's efficiency and overall performance, and is used to determine the pump's output and flow rate and is represented as V_D = pi/2*e*w_vp*(d_c+d_r) 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?

Volumetric Displacement of Vane Pumps formula is defined as the volume of fluid displaced by a vane pump per rotation, which is a critical parameter in hydraulic systems, as it directly affects the pump's efficiency and overall performance, and is used to determine the pump's output and flow rate 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 (w_vp), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r). 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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