Theoretical Discharge of Vane Pump given diameter of Camring and Rotor 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%
✖The Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member.ⓘ Angular Speed of Driving Member [N₁]			+10% -10%

✖Theoretical Discharge of Pump in Vane Pump is the volume of liquid pumped out in unit time.ⓘ Theoretical Discharge of Vane Pump given diameter of Camring and Rotor [Q_vp]

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

Q_vp = pi/2*e*w_vp*(d_c+d_r)*N₁ --> pi/2*0.01*20.37*(0.075+0.05)*20.9952637028714

Evaluating ... ...

Q_vp = 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 00.020 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

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

LaTeX 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
Q_vp = pi/2*e*w_vp*(d_c+d_r)*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, Theoretical Discharge of Vane Pump given diameter of Camring and Rotor formula is defined as a measure of the maximum flow rate of a vane pump, which is influenced by the diameter of the camring and rotor, and is a critical parameter in hydraulic pump design and operation. Theoretical Discharge of Pump in Vane Pump is denoted by Q_vp 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 (w_vp), Diameter of Cam Ring (d_c), Diameter of Rotor (d_r) & 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?

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor formula is defined as a measure of the maximum flow rate of a vane pump, which is influenced by the diameter of the camring and rotor, and is a critical parameter in hydraulic pump design and operation and is represented as Q_vp = pi/2*e*w_vp*(d_c+d_r)*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?

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor formula is defined as a measure of the maximum flow rate of a vane pump, which is influenced by the diameter of the camring and rotor, and is a critical parameter in hydraulic pump design and operation 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 (w_vp), Diameter of Cam Ring (d_c), Diameter of Rotor (d_r) & 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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