Volumetric Efficiency of Gear Pumps 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%
✖Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.ⓘ Theoretical Discharge of Pump in Gear Pump [Q_gp]			+10% -10%

✖Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge.ⓘ Volumetric Efficiency of Gear Pumps [η_v]

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Formula

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Volumetric Efficiency of Gear Pumps

Formula

`"η"_{"v"} = "Q"_{"ga"}/"Q"_{"gp"}*100`

Example

`"50.81851"="0.4284m³/s"/"0.843m³/s"*100`

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Volumetric Efficiency of Gear Pumps Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100
η_v = Q_ga/Q_gp*100
This formula uses 3 Variables

Variables Used

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

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
Theoretical Discharge of Pump in Gear Pump: 0.843 Cubic Meter per Second --> 0.843 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_v = Q_ga/Q_gp*100 --> 0.4284/0.843*100

Evaluating ... ...

η_v = 50.8185053380783

STEP 3: Convert Result to Output's Unit

50.8185053380783 --> No Conversion Required

FINAL ANSWER

50.8185053380783 ≈ 50.81851 <-- Volumetric Efficiency of Pump

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Gear Pumps » Volumetric Efficiency of Gear Pumps

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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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< 12 Gear Pumps Calculators

Theoretical Discharge given Outer and Inner Gear Diameter

Go 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

Width of Rotor given Volumetric Displacement

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

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)

Pump Slippage Percentage

Go Pump Slippage Percentage = ((Theoretical Discharge of Pump in Gear Pump-Actual Discharge of Pump for Gear Pump)/Theoretical Discharge of Pump in Gear Pump)*100

Angular Speed given Theoretical Discharge and Volumetric Displacement

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

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

Actual Discharge given Volumetric Efficiency and Theoretical Discharge

Go Actual Discharge of Pump for Gear Pump = (Volumetric Efficiency of Pump*Theoretical Discharge of Pump in Gear Pump)

Theoretical Discharge given Volumetric Efficiency and Actual Discharge

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

Theoretical Discharge given Pump Slippage

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

Actual Discharge given Pump Slippage

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

Pump Slippage

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

Volumetric Efficiency of Gear Pumps Formula

Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100
η_v = Q_ga/Q_gp*100

What is the usual speed range of gear pumps?

The usual speed of gear pumps range between 750 rpm and 1750 rpm. Although some pumps may have speed as high as 3000 rpm.

How to Calculate Volumetric Efficiency of Gear Pumps?

Volumetric Efficiency of Gear Pumps calculator uses Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100 to calculate the Volumetric Efficiency of Pump, Volumetric Efficiency of Gear Pumps is a measure of the effectiveness or efficiency of a pump in delivering the desired volume of fluid compared to its theoretical or ideal volume. In the context of gear pumps, volumetric efficiency specifically refers to the ratio of the actual volumetric displacement to the theoretical volumetric displacement of the pump. Volumetric Efficiency of Pump is denoted by η_v symbol.

How to calculate Volumetric Efficiency of Gear Pumps using this online calculator? To use this online calculator for Volumetric Efficiency of Gear Pumps, enter Actual Discharge of Pump for Gear Pump (Q_ga) & Theoretical Discharge of Pump in Gear Pump (Q_gp) and hit the calculate button. Here is how the Volumetric Efficiency of Gear Pumps calculation can be explained with given input values -> 51 = 0.4284/0.843*100.

FAQ

What is Volumetric Efficiency of Gear Pumps?

Volumetric Efficiency of Gear Pumps is a measure of the effectiveness or efficiency of a pump in delivering the desired volume of fluid compared to its theoretical or ideal volume. In the context of gear pumps, volumetric efficiency specifically refers to the ratio of the actual volumetric displacement to the theoretical volumetric displacement of the pump and is represented as η_v = Q_ga/Q_gp*100 or Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100. Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute & Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.

How to calculate Volumetric Efficiency of Gear Pumps?

Volumetric Efficiency of Gear Pumps is a measure of the effectiveness or efficiency of a pump in delivering the desired volume of fluid compared to its theoretical or ideal volume. In the context of gear pumps, volumetric efficiency specifically refers to the ratio of the actual volumetric displacement to the theoretical volumetric displacement of the pump is calculated using Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100. To calculate Volumetric Efficiency of Gear Pumps, you need Actual Discharge of Pump for Gear Pump (Q_ga) & Theoretical Discharge of Pump in Gear Pump (Q_gp). With our tool, you need to enter the respective value for Actual Discharge of Pump for Gear Pump & Theoretical Discharge of Pump in Gear Pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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