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Theoretical Discharge of Vane Pump Formula

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

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Theoretical Discharge of Pump in Vane Pump is the volume of liquid pumped out in unit time. Check FAQs

Q vp = V D \cdot N 1

Q_vp - Theoretical Discharge of Pump in Vane Pump?V_D - Theoretical Volumetric Displacement?N₁ - Angular Speed of Driving Member?

Theoretical Discharge of Vane Pump Example

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Here is how the Theoretical Discharge of Vane Pump equation looks like with Values.

Here is how the Theoretical Discharge of Vane Pump equation looks like with Units.

Here is how the Theoretical Discharge of Vane Pump equation looks like.

0.8398 = 0.04 \cdot 200.49

0.8398m³/s = 0.04m³/1 \cdot 200.49rev/min

0.8398 = 0.04 \cdot 200.49

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Theoretical Discharge of Vane Pump Solution

Follow our step by step solution on how to calculate Theoretical Discharge of Vane Pump?

FIRST Step Consider the formula

Q vp = V D \cdot N 1

Next Step Substitute values of Variables

∴

Q vp = 0.04m³/1 \cdot 200.49rev/min

Next Step Convert Units

∴

Q vp = 0.04m³/1 \cdot 20.9953rad/s

Next Step Prepare to Evaluate

∴

Q vp = 0.04 \cdot 20.9953

Next Step Evaluate

∴

Q vp = 0.839810548114856m³/s

LAST Step Rounding Answer

∴

Q vp = 0.8398m³/s

Theoretical Discharge of Vane Pump Formula Elements

Variables

Theoretical Discharge of Pump in Vane Pump

Theoretical Discharge of Pump in Vane Pump is the volume of liquid pumped out in unit time.

Symbol: Q_vp

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge of Pump in Vane Pump

Theoretical Volumetric Displacement

Theoretical volumetric displacement is the amount of liquid displaced per revolution.

Symbol: V_D

Measurement: Volumetric DisplacementUnit: m³/1

Note: Value can be positive or negative.

Formulas to find Theoretical Volumetric Displacement

Angular Speed of Driving Member

The Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member.

Symbol: N₁

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Angular Speed of Driving Member

Other Formulas to find Theoretical Discharge of Pump in Vane Pump

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

Q vp = \frac{π}{2} \cdot e \cdot w vp \cdot (d c + d r) \cdot N 1

Other formulas in Vane Pumps category

Go Volumetric Displacement of Vane Pumps

V D = \frac{π}{2} \cdot e \cdot w vp \cdot (d c + d r)

Go Eccentricity of Vane Pump

e = \frac{d c - d r}{2}

Go Vane Pump Constant

K v = \frac{π}{2} \cdot w vp \cdot (d c + d r)

Go Width of Rotor of Vane Pump given Volumetric Displacement

w vp = \frac{2 \cdot V D}{π \cdot e \cdot (d c + d r)}

How to Evaluate Theoretical Discharge of Vane Pump?

Theoretical Discharge of Vane Pump evaluator uses Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member to evaluate 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 evaluate Theoretical Discharge of Vane Pump using this online evaluator? To use this online evaluator for Theoretical Discharge of Vane Pump, enter Theoretical Volumetric Displacement (V_D) & Angular Speed of Driving Member (N₁) and hit the calculate button.

FAQs on Theoretical Discharge of Vane Pump

What is the formula to find Theoretical Discharge of Vane Pump?

The formula of Theoretical Discharge of Vane Pump is expressed as Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member. Here is an example- 0.839811 = 0.04*20.9952637028714.

How to calculate Theoretical Discharge of Vane Pump?

With Theoretical Volumetric Displacement (V_D) & Angular Speed of Driving Member (N₁) we can find Theoretical Discharge of Vane Pump using the formula - Theoretical Discharge of Pump in Vane Pump = Theoretical Volumetric Displacement*Angular Speed of Driving Member.

What are the other ways to Calculate Theoretical Discharge of Pump in Vane Pump?

Here are the different ways to Calculate Theoretical Discharge of Pump in Vane Pump-

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

Can the Theoretical Discharge of Vane Pump be negative?

No, the Theoretical Discharge of Vane Pump, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Theoretical Discharge of Vane Pump?

Theoretical Discharge of Vane Pump is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Theoretical Discharge of Vane Pump can be measured.

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