Actual Discharge given Volumetric Efficiency and Theoretical Discharge Calculator

✖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 of Pump in Gear Pump [Q_gp]			+10% -10%

✖Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute.ⓘ Actual Discharge given Volumetric Efficiency and Theoretical Discharge [Q_ga]

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Actual Discharge given Volumetric Efficiency and Theoretical Discharge

Formula

`"Q"_{"ga"} = ("η"_{"v"}*"Q"_{"gp"})`

Example

`"0.42993m³/s"=("0.51"*"0.843m³/s")`

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Actual Discharge given Volumetric Efficiency and Theoretical Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Volumetric Efficiency of Pump: 0.51 --> 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

Q_ga = (η_v*Q_gp) --> (0.51*0.843)

Evaluating ... ...

Q_ga = 0.42993

STEP 3: Convert Result to Output's Unit

0.42993 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.42993 Cubic Meter per Second <-- Actual Discharge of Pump for Gear Pump

(Calculation completed in 00.004 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

Actual Discharge given Volumetric Efficiency and Theoretical Discharge Formula

Actual Discharge of Pump for Gear Pump = (Volumetric Efficiency of Pump*Theoretical Discharge of Pump in Gear Pump)
Q_ga = (η_v*Q_gp)

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 Actual Discharge given Volumetric Efficiency and Theoretical Discharge?

Actual Discharge given Volumetric Efficiency and Theoretical Discharge calculator uses Actual Discharge of Pump for Gear Pump = (Volumetric Efficiency of Pump*Theoretical Discharge of Pump in Gear Pump) to calculate the Actual Discharge of Pump for Gear Pump, Actual Discharge given Volumetric Efficiency and Theoretical Discharge can be calculated by considering the volumetric efficiency and the theoretical discharge. Volumetric efficiency represents the ratio of the actual volume of fluid delivered by the pump to the theoretical volume of fluid that the pump should ideally deliver. Actual Discharge of Pump for Gear Pump is denoted by Q_ga symbol.

How to calculate Actual Discharge given Volumetric Efficiency and Theoretical Discharge using this online calculator? To use this online calculator for Actual Discharge given Volumetric Efficiency and Theoretical Discharge, enter Volumetric Efficiency of Pump (η_v) & Theoretical Discharge of Pump in Gear Pump (Q_gp) and hit the calculate button. Here is how the Actual Discharge given Volumetric Efficiency and Theoretical Discharge calculation can be explained with given input values -> 0.42993 = (0.51*0.843).

FAQ

What is Actual Discharge given Volumetric Efficiency and Theoretical Discharge?

Actual Discharge given Volumetric Efficiency and Theoretical Discharge can be calculated by considering the volumetric efficiency and the theoretical discharge. Volumetric efficiency represents the ratio of the actual volume of fluid delivered by the pump to the theoretical volume of fluid that the pump should ideally deliver and is represented as Q_ga = (η_v*Q_gp) or Actual Discharge of Pump for Gear Pump = (Volumetric Efficiency of Pump*Theoretical Discharge of Pump in Gear Pump). Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge & Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.

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

Actual Discharge given Volumetric Efficiency and Theoretical Discharge can be calculated by considering the volumetric efficiency and the theoretical discharge. Volumetric efficiency represents the ratio of the actual volume of fluid delivered by the pump to the theoretical volume of fluid that the pump should ideally deliver is calculated using Actual Discharge of Pump for Gear Pump = (Volumetric Efficiency of Pump*Theoretical Discharge of Pump in Gear Pump). To calculate Actual Discharge given Volumetric Efficiency and Theoretical Discharge, you need Volumetric Efficiency of Pump (η_v) & Theoretical Discharge of Pump in Gear Pump (Q_gp). With our tool, you need to enter the respective value for Volumetric Efficiency of 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.

How many ways are there to calculate Actual Discharge of Pump for Gear Pump?

In this formula, Actual Discharge of Pump for Gear Pump uses Volumetric Efficiency of Pump & Theoretical Discharge of Pump in Gear Pump. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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