Theoretical Discharge given Volumetric Efficiency and Actual Discharge Calculator

✖Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute.ⓘ Actual Discharge of Pump for Gear Pump [Q_ga]			+10% -10%
✖Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge.ⓘ Volumetric Efficiency of Pump [η_v]			+10% -10%

✖Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.ⓘ Theoretical Discharge given Volumetric Efficiency and Actual Discharge [Q_gp]

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Theoretical Discharge given Volumetric Efficiency and Actual Discharge

Formula

Q gp = \frac{Q ga}{η v}

Example

0.84 m³/s = \frac{0.4284 m³/s}{0.51}

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Theoretical Discharge given Volumetric Efficiency and Actual Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump
Q_gp = Q_ga/η_v
This formula uses 3 Variables

Variables Used

Theoretical Discharge of Pump in Gear Pump - (Measured in Cubic Meter per Second) - Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.
Actual Discharge of Pump for Gear Pump - (Measured in Cubic Meter per Second) - Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute.
Volumetric Efficiency of Pump - Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge.

STEP 1: Convert Input(s) to Base Unit

Actual Discharge of Pump for Gear Pump: 0.4284 Cubic Meter per Second --> 0.4284 Cubic Meter per Second No Conversion Required
Volumetric Efficiency of Pump: 0.51 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_gp = Q_ga/η_v --> 0.4284/0.51

Evaluating ... ...

Q_gp = 0.84

STEP 3: Convert Result to Output's Unit

0.84 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.84 Cubic Meter per Second <-- Theoretical Discharge of Pump in Gear Pump

(Calculation completed in 00.004 seconds)

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< Gear Pumps Calculators

Theoretical Volumetric Displacement of External Gear Pump

Go Theoretical Volumetric Displacement in Gear Pump = pi/4*Width of Rotor*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)

Theoretical Discharge of External Gear Pump

Go Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump

Volumetric Efficiency of Gear Pumps

Go Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100

Pump Slippage

Go Pump Slippage = Theoretical Discharge of Pump in Gear Pump-Actual Discharge of Pump for Gear Pump

Theoretical Discharge given Volumetric Efficiency and Actual Discharge Formula

Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump
Q_gp = Q_ga/η_v

What is discharge of a pump?

Discharge of a pump is defined as the amount of a liquid pumped out in unit time. It is also called as flow capacity of a pump.

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

Theoretical Discharge given Volumetric Efficiency and Actual Discharge calculator uses Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump to calculate the Theoretical Discharge of Pump in Gear Pump, Theoretical Discharge given Volumetric Efficiency and Actual Discharge refers to the ideal or calculated flow rate that the pump should deliver under ideal conditions. It is typically determined based on the pump's design parameters and operating characteristics. Theoretical Discharge of Pump in Gear Pump is denoted by Q_gp symbol.

How to calculate Theoretical Discharge given Volumetric Efficiency and Actual Discharge using this online calculator? To use this online calculator 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. Here is how the Theoretical Discharge given Volumetric Efficiency and Actual Discharge calculation can be explained with given input values -> 0.84 = 0.4284/0.51.

FAQ

What is Theoretical Discharge given Volumetric Efficiency and Actual Discharge?

Theoretical Discharge given Volumetric Efficiency and Actual Discharge refers to the ideal or calculated flow rate that the pump should deliver under ideal conditions. It is typically determined based on the pump's design parameters and operating characteristics and is represented as Q_gp = Q_ga/η_v or Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump. Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute & Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge.

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

Theoretical Discharge given Volumetric Efficiency and Actual Discharge refers to the ideal or calculated flow rate that the pump should deliver under ideal conditions. It is typically determined based on the pump's design parameters and operating characteristics is calculated using Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump. To calculate Theoretical Discharge given Volumetric Efficiency and Actual Discharge, you need Actual Discharge of Pump for Gear Pump (Q_ga) & Volumetric Efficiency of Pump (η_v). With our tool, you need to enter the respective value for Actual Discharge of Pump for Gear Pump & Volumetric Efficiency of Pump 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 Gear Pump?

In this formula, Theoretical Discharge of Pump in Gear Pump uses Actual Discharge of Pump for Gear Pump & Volumetric Efficiency of Pump. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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