Vane Pump Constant Calculator

✖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%

✖Vane pump constant is a constant value for a given vane pump.ⓘ Vane Pump Constant [K_v]

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Formula

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Vane Pump Constant

Formula

`"K"_{"v"} = pi/2*"w"_{"vp"}*("d"_{"c"}+"d"_{"r"})`

Example

`"3.99964m²"=pi/2*"20.37m"*("0.075m"+"0.05m")`

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Vane Pump Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)
K_v = pi/2*w_vp*(d_c+d_r)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Vane Pump Constant - (Measured in Square Meter) - Vane pump constant is a constant value for a given vane pump.
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

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

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

Evaluating ... ...

K_v = 3.99964014710151

STEP 3: Convert Result to Output's Unit

3.99964014710151 Square Meter --> No Conversion Required

FINAL ANSWER

3.99964014710151 ≈ 3.99964 Square Meter <-- Vane Pump Constant

(Calculation completed in 00.004 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

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 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

Vane Pump Constant Formula

Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)
K_v = pi/2*w_vp*(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 Vane Pump Constant?

Vane Pump Constant calculator uses Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor) to calculate the Vane Pump Constant, The Vane pump constant formula is defined as the product of sum of cam and rotor diameter and width of rotor. Vane Pump Constant is denoted by K_v symbol.

How to calculate Vane Pump Constant using this online calculator? To use this online calculator for Vane Pump Constant, enter 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 Vane Pump Constant calculation can be explained with given input values -> 3.99964 = pi/2*20.37*(0.075+0.05).

FAQ

What is Vane Pump Constant?

The Vane pump constant formula is defined as the product of sum of cam and rotor diameter and width of rotor and is represented as K_v = pi/2*w_vp*(d_c+d_r) or Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor). 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 Vane Pump Constant?

The Vane pump constant formula is defined as the product of sum of cam and rotor diameter and width of rotor is calculated using Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor). To calculate Vane Pump Constant, you need 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 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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