Theoretical Discharge given Pump Slippage Calculator

✖Pump slippage is the difference between the theoretical discharge and the actual discharge.ⓘ Pump Slippage [S]			+10% -10%
✖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 given Pump Slippage [Q_gp]

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Formula

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Theoretical Discharge given Pump Slippage

Formula

`"Q"_{"gp"} = "S"+"Q"_{"ga"}`

Example

`"0.8484m³/s"="0.42m³/s"+"0.4284m³/s"`

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Theoretical Discharge given Pump Slippage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Discharge of Pump in Gear Pump = Pump Slippage+Actual Discharge of Pump for Gear Pump
Q_gp = S+Q_ga
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.
Pump Slippage - (Measured in Cubic Meter per Second) - Pump slippage is the difference between the theoretical discharge and the actual 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.

STEP 1: Convert Input(s) to Base Unit

Pump Slippage: 0.42 Cubic Meter per Second --> 0.42 Cubic Meter per Second No Conversion Required
Actual Discharge of Pump for Gear Pump: 0.4284 Cubic Meter per Second --> 0.4284 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_gp = S+Q_ga --> 0.42+0.4284

Evaluating ... ...

Q_gp = 0.8484

STEP 3: Convert Result to Output's Unit

0.8484 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.8484 Cubic Meter per Second <-- Theoretical Discharge of Pump in Gear Pump

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

Theoretical Discharge given Pump Slippage Formula

Theoretical Discharge of Pump in Gear Pump = Pump Slippage+Actual Discharge of Pump for Gear Pump
Q_gp = S+Q_ga

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 Theoretical Discharge given Pump Slippage?

Theoretical Discharge given Pump Slippage calculator uses Theoretical Discharge of Pump in Gear Pump = Pump Slippage+Actual Discharge of Pump for Gear Pump to calculate the Theoretical Discharge of Pump in Gear Pump, Theoretical Discharge given Pump Slippage 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 Pump Slippage using this online calculator? To use this online calculator for Theoretical Discharge given Pump Slippage, enter Pump Slippage (S) & Actual Discharge of Pump for Gear Pump (Q_ga) and hit the calculate button. Here is how the Theoretical Discharge given Pump Slippage calculation can be explained with given input values -> 0.8484 = 0.42+0.4284.

FAQ

What is Theoretical Discharge given Pump Slippage?

Theoretical Discharge given Pump Slippage 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 = S+Q_ga or Theoretical Discharge of Pump in Gear Pump = Pump Slippage+Actual Discharge of Pump for Gear Pump. Pump slippage is the difference between the theoretical discharge and the actual discharge & Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute.

How to calculate Theoretical Discharge given Pump Slippage?

Theoretical Discharge given Pump Slippage 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 = Pump Slippage+Actual Discharge of Pump for Gear Pump. To calculate Theoretical Discharge given Pump Slippage, you need Pump Slippage (S) & Actual Discharge of Pump for Gear Pump (Q_ga). With our tool, you need to enter the respective value for Pump Slippage & Actual Discharge of Pump for 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 Theoretical Discharge of Pump in Gear Pump?

In this formula, Theoretical Discharge of Pump in Gear Pump uses Pump Slippage & Actual Discharge of Pump for Gear 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 = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of 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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