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Theoretical Discharge of External Gear Pump Formula

GoTheoretical Discharge given Volumetric Efficiency and Actual Discharge Formula

GoTheoretical Discharge given Pump Slippage Formula

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

Q gp = V gp \cdot n 1

Q_gp - Theoretical Discharge of Pump in Gear Pump?V_gp - Theoretical Volumetric Displacement in Gear Pump?n₁ - Angular Speed of Driving Member in Gear Pump?

Theoretical Discharge of External Gear Pump Example

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

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

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

0.84 = 0.031 \cdot 258.75

0.84m³/s = 0.031m³/1 \cdot 258.75rev/min

0.84 = 0.031 \cdot 258.75

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Theoretical Discharge of External Gear Pump Solution

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

FIRST Step Consider the formula

Q gp = V gp \cdot n 1

Next Step Substitute values of Variables

∴

Q gp = 0.031m³/1 \cdot 258.75rev/min

Next Step Convert Units

∴

Q gp = 0.031m³/1 \cdot 27.0962rad/s

Next Step Prepare to Evaluate

∴

Q gp = 0.031 \cdot 27.0962

Next Step Evaluate

∴

Q gp = 0.839983335710795m³/s

LAST Step Rounding Answer

∴

Q gp = 0.84m³/s

Theoretical Discharge of External Gear Pump Formula Elements

Variables

Theoretical Discharge of Pump in Gear Pump

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

Symbol: Q_gp

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge of Pump in Gear Pump

Theoretical Volumetric Displacement in Gear Pump

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

Symbol: V_gp

Measurement: Volumetric DisplacementUnit: m³/1

Note: Value can be positive or negative.

Formulas to find Theoretical Volumetric Displacement in Gear Pump

Angular Speed of Driving Member in Gear Pump

The Angular Speed of Driving Member in Gear Pump 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 in Gear Pump

Other Formulas to find Theoretical Discharge of Pump in Gear Pump

Go Theoretical Discharge given Volumetric Efficiency and Actual Discharge

Q gp = \frac{Q ga}{η v}

Go Theoretical Discharge given Pump Slippage

Q gp = S + Q ga

Go Theoretical Discharge given Outer and Inner Gear Diameter

Q gp = \frac{π}{4} \cdot ({D o}^{2} - {D i}^{2}) \cdot n 1

Other formulas in Gear Pumps category

Go Theoretical Volumetric Displacement of External Gear Pump

V gp = \frac{π}{4} \cdot w \cdot ({D o}^{2} - {D i}^{2})

Go Volumetric Efficiency of Gear Pumps

η v = \frac{Q ga}{Q gp} \cdot 100

Go Pump Slippage

S = Q gp - Q ga

Go Pump Slippage Percentage

%S = (\frac{Q gp - Q ga}{Q gp}) \cdot 100

How to Evaluate Theoretical Discharge of External Gear Pump?

Theoretical Discharge of External Gear Pump evaluator uses Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump to evaluate the Theoretical Discharge of Pump in Gear Pump, Theoretical Discharge of External Gear Pump formula is defined as the volumetric flow rate of a gear pump, which is a type of positive displacement pump used in hydraulic systems, and is a critical parameter in determining the pump's performance and efficiency in various industrial applications. Theoretical Discharge of Pump in Gear Pump is denoted by Q_gp symbol.

How to evaluate Theoretical Discharge of External Gear Pump using this online evaluator? To use this online evaluator for Theoretical Discharge of External Gear Pump, enter Theoretical Volumetric Displacement in Gear Pump (V_gp) & Angular Speed of Driving Member in Gear Pump (n₁) and hit the calculate button.

FAQs on Theoretical Discharge of External Gear Pump

What is the formula to find Theoretical Discharge of External Gear Pump?

The formula of Theoretical Discharge of External Gear Pump is expressed as Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump. Here is an example- 0.839983 = 0.031*27.0962366358321.

How to calculate Theoretical Discharge of External Gear Pump?

With Theoretical Volumetric Displacement in Gear Pump (V_gp) & Angular Speed of Driving Member in Gear Pump (n₁) we can find Theoretical Discharge of External Gear Pump using the formula - Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump.

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

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

Theoretical Discharge of Pump in Gear Pump=Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump
Theoretical Discharge of Pump in Gear Pump=Pump Slippage+Actual Discharge of Pump for Gear Pump
Theoretical Discharge of Pump in Gear Pump=pi/4*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)*Angular Speed of Driving Member in Gear Pump

Can the Theoretical Discharge of External Gear Pump be negative?

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

Which unit is used to measure Theoretical Discharge of External Gear Pump?

Theoretical Discharge of External Gear 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 External Gear Pump can be measured.

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