Width of Vane Pump given Theoretical Discharge Calculator

✖Theoretical Discharge of Pump in Vane Pump is the volume of liquid pumped out in unit time.ⓘ Theoretical Discharge of Pump in Vane Pump [Q_vp]			+10% -10%
✖Eccentricity of a pump is the difference between cam ring diameter and rotor diameter.ⓘ Eccentricity [e]			+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%
✖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 Vane Pump given Theoretical Discharge [w_vp]

⎘ Copy

👎

Formula

✖

Width of Vane Pump given Theoretical Discharge

Formula

`"w"_{"vp"} = (2*"Q"_{"vp"})/(pi*"e"*"N"_{"1"}*("d"_{"c"}+"d"_{"r"}))`

Example

`"20.37643m"=(2*"0.840m³/s")/(pi*"0.01m"*"200.49rev/min"*("0.075m"+"0.05m"))`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

Width of Vane Pump given Theoretical Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
w_vp = (2*Q_vp)/(pi*e*N₁*(d_c+d_r))
This formula uses 1 Constants, 6 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 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.
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.
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 Discharge of Pump in Vane Pump: 0.84 Cubic Meter per Second --> 0.84 Cubic Meter per Second No Conversion Required
Eccentricity: 0.01 Meter --> 0.01 Meter No Conversion Required
Angular Speed of Driving Member: 200.49 Revolution per Minute --> 20.9952637028714 Radian per Second (Check conversion here)
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*Q_vp)/(pi*e*N₁*(d_c+d_r)) --> (2*0.84)/(pi*0.01*20.9952637028714*(0.075+0.05))

Evaluating ... ...

w_vp = 20.3764283738196

STEP 3: Convert Result to Output's Unit

20.3764283738196 Meter --> No Conversion Required

FINAL ANSWER

20.3764283738196 ≈ 20.37643 Meter <-- Width of Rotor in Vane Pump

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Vane Pumps » Width of Vane Pump given Theoretical Discharge

Credits

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 Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja 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

Width of Vane Pump given Theoretical Discharge Formula

What is theoretical discharge?

Theoretical discharge, also called as flow capacity of a pump is the volume of liquid discharged per unit time.

How to Calculate Width of Vane Pump given Theoretical Discharge?

Width of Vane Pump given Theoretical Discharge calculator uses 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)) to calculate the Width of Rotor in Vane Pump, Width of Vane Pump given Theoretical Discharge refers to the radial distance between the centerline of the rotor and the inner surface of the pump housing. This width is important because it determines the volume of fluid that can be displaced by the pump during each revolution. Width of Rotor in Vane Pump is denoted by w_vp symbol.

How to calculate Width of Vane Pump given Theoretical Discharge using this online calculator? To use this online calculator for Width of Vane Pump given Theoretical Discharge, enter Theoretical Discharge of Pump in Vane Pump (Q_vp), Eccentricity (e), Angular Speed of Driving Member (N₁), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r) and hit the calculate button. Here is how the Width of Vane Pump given Theoretical Discharge calculation can be explained with given input values -> 20.37643 = (2*0.84)/(pi*0.01*20.9952637028714*(0.075+0.05)).

FAQ

What is Width of Vane Pump given Theoretical Discharge?

Width of Vane Pump given Theoretical Discharge refers to the radial distance between the centerline of the rotor and the inner surface of the pump housing. This width is important because it determines the volume of fluid that can be displaced by the pump during each revolution and is represented as w_vp = (2*Q_vp)/(pi*e*N₁*(d_c+d_r)) or 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 Pump in Vane Pump is the volume of liquid pumped out in unit time, Eccentricity of a pump is the difference between cam ring diameter and rotor diameter, The Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member, 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 Vane Pump given Theoretical Discharge?

Width of Vane Pump given Theoretical Discharge refers to the radial distance between the centerline of the rotor and the inner surface of the pump housing. This width is important because it determines the volume of fluid that can be displaced by the pump during each revolution is calculated using 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)). To calculate Width of Vane Pump given Theoretical Discharge, you need Theoretical Discharge of Pump in Vane Pump (Q_vp), Eccentricity (e), Angular Speed of Driving Member (N₁), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r). With our tool, you need to enter the respective value for Theoretical Discharge of Pump in Vane Pump, Eccentricity, Angular Speed of Driving Member, 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 Discharge of Pump in Vane Pump, Eccentricity, Angular Speed of Driving Member, 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 Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor))

Home

FREE PDFs

🔍 Search