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Theoretical Discharge given Volumetric Efficiency and Actual Discharge Formula

GoTheoretical Discharge of External Gear Pump 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 = \frac{Q ga}{η v}

Q_gp - Theoretical Discharge of Pump in Gear Pump?Q_ga - Actual Discharge of Pump for Gear Pump?η_v - Volumetric Efficiency of Pump?

Theoretical Discharge given Volumetric Efficiency and Actual Discharge Example

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Here is how the Theoretical Discharge given Volumetric Efficiency and Actual Discharge equation looks like with Values.

Here is how the Theoretical Discharge given Volumetric Efficiency and Actual Discharge equation looks like with Units.

Here is how the Theoretical Discharge given Volumetric Efficiency and Actual Discharge equation looks like.

0.84 = \frac{0.4284}{0.51}

0.84m³/s = \frac{0.4284m³/s}{0.51}

0.84 = \frac{0.4284}{0.51}

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Theoretical Discharge given Volumetric Efficiency and Actual Discharge Solution

Follow our step by step solution on how to calculate Theoretical Discharge given Volumetric Efficiency and Actual Discharge?

FIRST Step Consider the formula

Q gp = \frac{Q ga}{η v}

Next Step Substitute values of Variables

∴

Q gp = \frac{0.4284m³/s}{0.51}

Next Step Prepare to Evaluate

∴

Q gp = \frac{0.4284}{0.51}

LAST Step Evaluate

∴

Q gp = 0.84m³/s

Theoretical Discharge given Volumetric Efficiency and Actual Discharge 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

Actual Discharge of Pump for Gear Pump

Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute.

Symbol: Q_ga

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge of Pump for Gear Pump

Volumetric Efficiency of Pump

Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge.

Symbol: η_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Volumetric Efficiency of Pump

Other Formulas to find Theoretical Discharge of Pump in Gear Pump

Go Theoretical Discharge of External Gear Pump

Q gp = V gp \cdot n 1

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 given Volumetric Efficiency and Actual Discharge?

Theoretical Discharge given Volumetric Efficiency and Actual Discharge evaluator uses Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump to evaluate the Theoretical Discharge of Pump in Gear Pump, Theoretical Discharge given Volumetric Efficiency and Actual Discharge formula is defined as the maximum possible flow rate of a hydraulic pump under ideal conditions, taking into account the pump's volumetric efficiency and actual discharge, providing a measure of the pump's performance and efficiency. Theoretical Discharge of Pump in Gear Pump is denoted by Q_gp symbol.

How to evaluate Theoretical Discharge given Volumetric Efficiency and Actual Discharge using this online evaluator? To use this online evaluator for Theoretical Discharge given Volumetric Efficiency and Actual Discharge, enter Actual Discharge of Pump for Gear Pump (Q_ga) & Volumetric Efficiency of Pump (η_v) and hit the calculate button.

FAQs on Theoretical Discharge given Volumetric Efficiency and Actual Discharge

What is the formula to find Theoretical Discharge given Volumetric Efficiency and Actual Discharge?

The formula of Theoretical Discharge given Volumetric Efficiency and Actual Discharge is expressed as Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump. Here is an example- 0.84 = 0.4284/0.51.

How to calculate Theoretical Discharge given Volumetric Efficiency and Actual Discharge?

With Actual Discharge of Pump for Gear Pump (Q_ga) & Volumetric Efficiency of Pump (η_v) we can find Theoretical Discharge given Volumetric Efficiency and Actual Discharge using the formula - Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of 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=Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear 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 given Volumetric Efficiency and Actual Discharge be negative?

No, the Theoretical Discharge given Volumetric Efficiency and Actual Discharge, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Theoretical Discharge given Volumetric Efficiency and Actual Discharge?

Theoretical Discharge given Volumetric Efficiency and Actual Discharge 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 given Volumetric Efficiency and Actual Discharge can be measured.

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