Theoretical Discharge of Vane Pump Calculator

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

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Formula

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Theoretical Discharge of Vane Pump

Formula

`"Q"_{"vp"} = "V"_{"D"}*"N"_{"1"}`

Example

`"0.839811m³/s"="0.04m³/1"*"200.49rev/min"`

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Theoretical Discharge of Vane Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member
Q_vp = V_D*N₁
This formula uses 3 Variables

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.
Theoretical Volumetric Displacement - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement is the amount of liquid displaced per revolution.
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

Theoretical Volumetric Displacement: 0.04 Cubic Meter Per Revolution --> 0.04 Cubic Meter Per Revolution 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 = V_D*N₁ --> 0.04*20.9952637028714

Evaluating ... ...

Q_vp = 0.839810548114856

STEP 3: Convert Result to Output's Unit

0.839810548114856 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.839810548114856 ≈ 0.839811 Cubic Meter per Second <-- Theoretical Discharge of Pump in Vane Pump

(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

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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

Theoretical Discharge of Vane Pump Formula

Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member
Q_vp = V_D*N₁

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 Theoretical Discharge of Vane Pump?

Theoretical Discharge of Vane Pump calculator uses Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member to calculate the Theoretical Discharge of Pump in Vane Pump, Theoretical Discharge of Vane Pump refers to the ideal or calculated value of the pump's volumetric flow rate under ideal conditions. A vane pump is a positive displacement pump that uses vanes or blades to create suction and discharge fluid. Theoretical discharge is determined based on the pump's design parameters and operating characteristics. Theoretical Discharge of Pump in Vane Pump is denoted by Q_vp symbol.

How to calculate Theoretical Discharge of Vane Pump using this online calculator? To use this online calculator for Theoretical Discharge of Vane Pump, enter Theoretical Volumetric Displacement (V_D) & Angular Speed of Driving Member (N₁) and hit the calculate button. Here is how the Theoretical Discharge of Vane Pump calculation can be explained with given input values -> 0.839811 = 0.04*20.9952637028714.

FAQ

What is Theoretical Discharge of Vane Pump?

Theoretical Discharge of Vane Pump refers to the ideal or calculated value of the pump's volumetric flow rate under ideal conditions. A vane pump is a positive displacement pump that uses vanes or blades to create suction and discharge fluid. Theoretical discharge is determined based on the pump's design parameters and operating characteristics and is represented as Q_vp = V_D*N₁ or Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member. Theoretical volumetric displacement is the amount of liquid displaced per revolution & 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?

Theoretical Discharge of Vane Pump refers to the ideal or calculated value of the pump's volumetric flow rate under ideal conditions. A vane pump is a positive displacement pump that uses vanes or blades to create suction and discharge fluid. Theoretical discharge is determined based on the pump's design parameters and operating characteristics is calculated using Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member. To calculate Theoretical Discharge of Vane Pump, you need Theoretical Volumetric Displacement (V_D) & Angular Speed of Driving Member (N₁). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement & 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 Theoretical Volumetric Displacement & 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 = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member

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