Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump Calculator

✖Actual discharge of pump is the actual amount of liquid pumped out in a minute.ⓘ Actual Discharge of Pump [Q_act]			+10% -10%
✖Theoretical Discharge of Pump is the volume of liquid pumped out in unit time.ⓘ Theoretical Discharge of Pump [Q_th]			+10% -10%

✖Volumetric Efficiency of Piston Pump is the ratio of actual discharge to the theoretical discharge.ⓘ Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump [η_vol]

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Formula

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Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump

Formula

`"η"_{"vol"} = "Q"_{"act"}/"Q"_{"th"}`

Example

`"0.309524"="0.26m³/s"/"0.84m³/s"`

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Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump
η_vol = Q_act/Q_th
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Actual Discharge of Pump: 0.26 Cubic Meter per Second --> 0.26 Cubic Meter per Second No Conversion Required
Theoretical Discharge of Pump: 0.84 Cubic Meter per Second --> 0.84 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_vol = Q_act/Q_th --> 0.26/0.84

Evaluating ... ...

η_vol = 0.30952380952381

STEP 3: Convert Result to Output's Unit

0.30952380952381 --> No Conversion Required

FINAL ANSWER

0.30952380952381 ≈ 0.309524 <-- Volumetric Efficiency of Piston Pump

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Piston Pumps » Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump

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< 19 Piston Pumps Calculators

Efficiency of Jet Pump

Go Efficiency of Jet Pump = (Discharge through Suction Pipe*(Suction Head+Delivery Head))/(Discharge through Nozzle*(Pressure Head on Delivery Side-Delivery Head))

Angle of Swash Plate Inclination given Volumetric Displacement

Go Swash Plate Inclination = atan(Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore))

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination

Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)

Tan of Angle of Swash Plate Inclination given Volumetric Displacement

Go Tan of Angle of Inclination = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)

Piston Pump Constant K

Go Piston Pump Constant = (pi*Number of Pistons*Piston Diameter^2*Pitch Circle Diameter of Bore)/4

Stroke Length of Piston Pump given Volumetric Displacement

Go Stroke Length of Piston Pump = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston)

Area of Piston Pump given Volumetric Displacement

Go Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump)

Theoretical Volumetric Displacement given Area of Piston and Stroke Length

Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Stroke Length of Piston Pump

Theoretical Power of Piston Pump

Go Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump

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

Swash Plate Inclination with Axis of Cylinder

Go Swash Plate Inclination = atan(Stroke Length of Piston Pump/Pitch Circle Diameter of Bore)

Stroke Length of Axial Piston Pump

Go Stroke Length of Piston Pump = Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)

Actual Torque Developed in Piston Pumps

Go Actual Torque = (60*Input Power)/(2*pi*Angular Speed of Driving Member in Piston Pump)

Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump

Go Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump

Tan of Angle of Inclination of Swash Plate

Go Tan of Angle of Inclination = Stroke Length of Piston Pump/Pitch Circle Diameter of Bore

Overall Efficiency of Piston Pump

Go Overall Efficiency = Mechanical Efficiency*Volumetric Efficiency of Piston Pump

Overall Efficiency given Actual and Theoretical Discharge

Go Overall Efficiency = Actual Discharge of Pump/Theoretical Discharge of Pump

Mechanical Efficiency given Theoretical and Actual Power Delivered

Go Mechanical Efficiency = Theoretical Power Delivered/Actual Power Delivered

Mechanical Efficiency given Theoretical and Actual Torque

Go Mechanical Efficiency = Theoretical Torque/Actual Torque

Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump Formula

Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump
η_vol = Q_act/Q_th

What is the range of efficiencies of various pumps?

The efficiencies of piston pump ranges from 90% to 95%, vane pump ranges from 82% to 92% and gear pump ranges from 80% to 90%.

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

Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump calculator uses Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump to calculate the Volumetric Efficiency of Piston Pump, Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump 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. It is expressed as a percentage and represents the ratio of the actual volume of fluid delivered by the pump to the theoretical volume that the pump should ideally deliver. Volumetric Efficiency of Piston Pump is denoted by η_vol symbol.

How to calculate Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump using this online calculator? To use this online calculator for Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump, enter Actual Discharge of Pump (Q_act) & Theoretical Discharge of Pump (Q_th) and hit the calculate button. Here is how the Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump calculation can be explained with given input values -> 0.309524 = 0.26/0.84.

FAQ

What is Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump?

Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump 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. It is expressed as a percentage and represents the ratio of the actual volume of fluid delivered by the pump to the theoretical volume that the pump should ideally deliver and is represented as η_vol = Q_act/Q_th or Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump. Actual discharge of pump is the actual amount of liquid pumped out in a minute & Theoretical Discharge of Pump is the volume of liquid pumped out in unit time.

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

Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump 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. It is expressed as a percentage and represents the ratio of the actual volume of fluid delivered by the pump to the theoretical volume that the pump should ideally deliver is calculated using Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump. To calculate Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump, you need Actual Discharge of Pump (Q_act) & Theoretical Discharge of Pump (Q_th). With our tool, you need to enter the respective value for Actual Discharge of Pump & Theoretical Discharge of 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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