Width of Rotor of Vane Pump given Volumetric Displacement Calculator

✖Theoretical volumetric displacement is the amount of liquid displaced per revolution.ⓘ Theoretical Volumetric Displacement [V_D]			+10% -10%
✖Eccentricity of a pump is the difference between cam ring diameter and rotor diameter.ⓘ Eccentricity [e]			+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%

✖Width of Rotor in vane Pump is the width of the rotor of a pump.ⓘ Width of Rotor of Vane Pump given Volumetric Displacement [w_vp]

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Formula

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Width of Rotor of Vane Pump given Volumetric Displacement

Formula

`"w"_{"vp"} = (2*"V"_{"D"})/(pi*"e"*("d"_{"c"}+"d"_{"r"}))`

Example

`"20.37183m"=(2*"0.04m³/1")/(pi*"0.01m"*("0.075m"+"0.05m"))`

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Width of Rotor of Vane Pump given Volumetric Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Rotor in Vane Pump = (2*Theoretical Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor))
w_vp = (2*V_D)/(pi*e*(d_c+d_r))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Width of Rotor in Vane Pump - (Measured in Meter) - Width of Rotor in vane Pump is the width of the rotor of a pump.
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.
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

Theoretical Volumetric Displacement: 0.04 Cubic Meter Per Revolution --> 0.04 Cubic Meter Per Revolution No Conversion Required
Eccentricity: 0.01 Meter --> 0.01 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

w_vp = (2*V_D)/(pi*e*(d_c+d_r)) --> (2*0.04)/(pi*0.01*(0.075+0.05))

Evaluating ... ...

w_vp = 20.3718327157626

STEP 3: Convert Result to Output's Unit

20.3718327157626 Meter --> No Conversion Required

FINAL ANSWER

20.3718327157626 ≈ 20.37183 Meter <-- Width of Rotor in Vane Pump

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Vane Pumps » Width of Rotor of Vane Pump given Volumetric Displacement

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

Width of Rotor of Vane Pump given Volumetric Displacement Formula

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

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 Width of Rotor of Vane Pump given Volumetric Displacement?

Width of Rotor of Vane Pump given Volumetric Displacement calculator uses Width of Rotor in Vane Pump = (2*Theoretical Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor)) to calculate the Width of Rotor in Vane Pump, Width of Rotor of Vane Pump given Volumetric Displacement is determined by factors such as the mechanical strength required to withstand the pressure and forces exerted during operation, the desired efficiency, and the available space within the pump housing. It is often designed to provide a balance between strength, efficiency, and practical considerations such as the overall size of the pump. Width of Rotor in Vane Pump is denoted by w_vp symbol.

How to calculate Width of Rotor of Vane Pump given Volumetric Displacement using this online calculator? To use this online calculator for Width of Rotor of Vane Pump given Volumetric Displacement, enter Theoretical Volumetric Displacement (V_D), Eccentricity (e), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r) and hit the calculate button. Here is how the Width of Rotor of Vane Pump given Volumetric Displacement calculation can be explained with given input values -> 20.37183 = (2*0.04)/(pi*0.01*(0.075+0.05)).

FAQ

What is Width of Rotor of Vane Pump given Volumetric Displacement?

Width of Rotor of Vane Pump given Volumetric Displacement is determined by factors such as the mechanical strength required to withstand the pressure and forces exerted during operation, the desired efficiency, and the available space within the pump housing. It is often designed to provide a balance between strength, efficiency, and practical considerations such as the overall size of the pump and is represented as w_vp = (2*V_D)/(pi*e*(d_c+d_r)) or Width of Rotor in Vane Pump = (2*Theoretical Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor)). Theoretical volumetric displacement is the amount of liquid displaced per revolution, Eccentricity of a pump is the difference between cam ring diameter and rotor diameter, 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 Width of Rotor of Vane Pump given Volumetric Displacement?

Width of Rotor of Vane Pump given Volumetric Displacement is determined by factors such as the mechanical strength required to withstand the pressure and forces exerted during operation, the desired efficiency, and the available space within the pump housing. It is often designed to provide a balance between strength, efficiency, and practical considerations such as the overall size of the pump is calculated using Width of Rotor in Vane Pump = (2*Theoretical Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor)). To calculate Width of Rotor of Vane Pump given Volumetric Displacement, you need Theoretical Volumetric Displacement (V_D), Eccentricity (e), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement, Eccentricity, 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.

How many ways are there to calculate Width of Rotor in Vane Pump?

In this formula, Width of Rotor in Vane Pump uses Theoretical Volumetric Displacement, Eccentricity, Diameter of Cam Ring & Diameter of Rotor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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