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Theoretical discharge of gear wheel pump Calculator

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Fluid systemsGear wheel pump ↺
✖Actual discharge of a pump is the actual amount of liquid pumped out in a minute.ⓘ Actual discharge of a pump [Qact]
+10%
-10%
✖Volumetric efficiency of a pump is the ratio of actual discharge to the theoretical discharge.ⓘ Volumetric efficiency of a pump [ηvol]
+10%
-10%
✖The Theoretical discharge is given by the theoretical area and velocity.ⓘ Theoretical discharge of gear wheel pump [Q th]
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Credits

Shareef Alex
velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
Shareef Alex has created this Calculator and 100+ more calculators!
Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has verified this Calculator and 25+ more calculators!

Theoretical discharge of gear wheel pump Solution

STEP 0: Pre-Calculation Summary
Formula Used
theoretical_discharge = Actual discharge of a pump/Volumetric efficiency of a pump
Q th = Qact/ηvol
This formula uses 2 Variables
Variables Used
Actual discharge of a pump - Actual discharge of a pump is the actual amount of liquid pumped out in a minute. (Measured in Cubic Meter per Minute)
Volumetric efficiency of a pump- Volumetric efficiency of a pump is the ratio of actual discharge to the theoretical discharge.
STEP 1: Convert Input(s) to Base Unit
Actual discharge of a pump: 10 Cubic Meter per Minute --> 0.166666666666667 Meter³ per Second (Check conversion here)
Volumetric efficiency of a pump: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q th = Qact/ηvol --> 0.166666666666667/100
Evaluating ... ...
Q th = 0.00166666666666667
STEP 3: Convert Result to Output's Unit
0.00166666666666667 Meter³ per Second --> No Conversion Required
FINAL ANSWER
0.00166666666666667 Meter³ per Second <-- Theoretical discharge
(Calculation completed in 00.015 seconds)
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3 Gear wheel pump Calculators

Volume of oil discharged per revolution in gear wheel pump
volume = 2*Area*Axial length of teeth*Revolutions per second Go
Theoretical discharge of gear wheel pump
theoretical_discharge = Actual discharge of a pump/Volumetric efficiency of a pump Go
Actual discharge of gear wheel pump
actual_discharge = Theoretical discharge*Volumetric efficiency of a pump Go

Theoretical discharge of gear wheel pump Formula

theoretical_discharge = Actual discharge of a pump/Volumetric efficiency of a pump
Q th = Qact/ηvol

How does a gear pump work?

Gear pumps work by trapping fluid between the teeth of two or three rotating gears. Often, they are magnetically driven, which means they use less “wetted” materials for greater chemical compatibility. Gear pumps move a cavity that rotates rather than reciprocates.

Which pump uses a gear to pump the fluid?

A gear pump uses the meshing of gears to pump fluid by displacement. They are one of the most common types of pumps for hydraulic fluid power applications. The gear pump was invented around 1600 by Johannes Kepler. Gear pumps are also widely used in chemical installations to pump high viscosity fluids.

How to Calculate Theoretical discharge of gear wheel pump?

Theoretical discharge of gear wheel pump calculator uses theoretical_discharge = Actual discharge of a pump/Volumetric efficiency of a pump to calculate the Theoretical discharge, The Theoretical discharge of gear wheel pump formula is defined as the ratio of actual discharge of pump to volumetric efficiency of pump. Theoretical discharge is denoted by Q th symbol.

How to calculate Theoretical discharge of gear wheel pump using this online calculator? To use this online calculator for Theoretical discharge of gear wheel pump, enter Actual discharge of a pump (Qact) & Volumetric efficiency of a pump (ηvol) and hit the calculate button. Here is how the Theoretical discharge of gear wheel pump calculation can be explained with given input values -> 0.001667 = 0.166666666666667/100.

FAQ

What is Theoretical discharge of gear wheel pump?
The Theoretical discharge of gear wheel pump formula is defined as the ratio of actual discharge of pump to volumetric efficiency of pump and is represented as Q th = Qact/ηvol or theoretical_discharge = Actual discharge of a pump/Volumetric efficiency of a pump. Actual discharge of a pump is the actual amount of liquid pumped out in a minute & Volumetric efficiency of a pump is the ratio of actual discharge to the theoretical discharge.
How to calculate Theoretical discharge of gear wheel pump?
The Theoretical discharge of gear wheel pump formula is defined as the ratio of actual discharge of pump to volumetric efficiency of pump is calculated using theoretical_discharge = Actual discharge of a pump/Volumetric efficiency of a pump. To calculate Theoretical discharge of gear wheel pump, you need Actual discharge of a pump (Qact) & Volumetric efficiency of a pump (ηvol). With our tool, you need to enter the respective value for Actual discharge of a pump & Volumetric efficiency of a 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?
In this formula, Theoretical discharge uses Actual discharge of a pump & Volumetric efficiency of a pump. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • volume = 2*Area*Axial length of teeth*Revolutions per second
  • actual_discharge = Theoretical discharge*Volumetric efficiency of a pump
  • theoretical_discharge = Actual discharge of a pump/Volumetric efficiency of a pump
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