Volume of oil discharged per revolution in gear wheel pump Calculator

✖Area between successive teeth and casing is the area enclosed between two successive teeth and casing of the gear wheel pump.ⓘ Area between successive teeth and casing [a_g]			+10% -10%
✖Axial length of gear teeth of pump is defined as the length of the gear teeth of a gear pump measured axially.ⓘ Axial Length of Gear Teeth of pump [L_t]			+10% -10%
✖Speed of gear pump is the speed of rotation of the gear of a gear pump.ⓘ Speed of gear pump [N]			+10% -10%

✖Volume displaced per revolution for gear pump is the volume of the fluid discharged per revolution from the gear wheel pump.ⓘ Volume of oil discharged per revolution in gear wheel pump [V_g]

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Formula

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Volume of oil discharged per revolution in gear wheel pump

Formula

`"V"_{"g"} = 2*"a"_{"g"}*"L"_{"t"}*"N"/60`

Example

`"0.000206m³"=2*"6E^-4m²"*"0.018m"*"60rad/s"/60`

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Volume of oil discharged per revolution in gear wheel pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume displaced per revolution for gear pump = 2*Area between successive teeth and casing*Axial Length of Gear Teeth of pump*Speed of gear pump/60
V_g = 2*a_g*L_t*N/60
This formula uses 4 Variables

Variables Used

Volume displaced per revolution for gear pump - (Measured in Cubic Meter) - Volume displaced per revolution for gear pump is the volume of the fluid discharged per revolution from the gear wheel pump.
Area between successive teeth and casing - (Measured in Square Meter) - Area between successive teeth and casing is the area enclosed between two successive teeth and casing of the gear wheel pump.
Axial Length of Gear Teeth of pump - (Measured in Meter) - Axial length of gear teeth of pump is defined as the length of the gear teeth of a gear pump measured axially.
Speed of gear pump - (Measured in Revolution per Minute) - Speed of gear pump is the speed of rotation of the gear of a gear pump.

STEP 1: Convert Input(s) to Base Unit

Area between successive teeth and casing: 0.0006 Square Meter --> 0.0006 Square Meter No Conversion Required
Axial Length of Gear Teeth of pump: 0.018 Meter --> 0.018 Meter No Conversion Required
Speed of gear pump: 60 Radian per Second --> 572.95779516 Revolution per Minute (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_g = 2*a_g*L_t*N/60 --> 2*0.0006*0.018*572.95779516/60

Evaluating ... ...

V_g = 0.0002062648062576

STEP 3: Convert Result to Output's Unit

0.0002062648062576 Cubic Meter --> No Conversion Required

FINAL ANSWER

0.0002062648062576 ≈ 0.000206 Cubic Meter <-- Volume displaced per revolution for gear pump

(Calculation completed in 00.004 seconds)

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< 3 Gear Wheel Pump Calculators

Volume of oil discharged per revolution in gear wheel pump

Go Volume displaced per revolution for gear pump = 2*Area between successive teeth and casing*Axial Length of Gear Teeth of pump*Speed of gear pump/60

Theoretical discharge of gear wheel pump

Go Theoretical Discharge of Gear Wheel Pump = Actual Discharge of Gear Wheel Pump/Volumetric Efficiency of Gear Wheel Pump

Actual discharge of gear wheel pump

Go Actual Discharge of Gear Wheel Pump = Theoretical Discharge of Gear Wheel Pump*Volumetric Efficiency of Gear Wheel Pump

Volume of oil discharged per revolution in gear wheel pump Formula

Volume displaced per revolution for gear pump = 2*Area between successive teeth and casing*Axial Length of Gear Teeth of pump*Speed of gear pump/60
V_g = 2*a_g*L_t*N/60

What is gear wheel pump?

A gear pump is a type of positive displacement pump. It moves a fluid by repeatedly enclosing a fixed volume using interlocking cogs or gears, transferring it mechanically using a cyclic pumping action. It delivers a smooth pulse-free flow proportional to the rotational speed of its gears.

What causes discharge from external gear pump?

As the gears come out of mesh on the inlet side of the pump, they create an expanded volume. Liquid flows into the cavities and is trapped by the gear teeth as the gears continue to rotate against the pump casing. The trapped fluid is moved from the inlet to the discharge, around the casing.

How to Calculate Volume of oil discharged per revolution in gear wheel pump?

Volume of oil discharged per revolution in gear wheel pump calculator uses Volume displaced per revolution for gear pump = 2*Area between successive teeth and casing*Axial Length of Gear Teeth of pump*Speed of gear pump/60 to calculate the Volume displaced per revolution for gear pump, The Volume of oil discharged per revolution in gear wheel pump formula is defined as the quantity of oil used per revolution. Volume displaced per revolution for gear pump is denoted by V_g symbol.

How to calculate Volume of oil discharged per revolution in gear wheel pump using this online calculator? To use this online calculator for Volume of oil discharged per revolution in gear wheel pump, enter Area between successive teeth and casing (a_g), Axial Length of Gear Teeth of pump (L_t) & Speed of gear pump (N) and hit the calculate button. Here is how the Volume of oil discharged per revolution in gear wheel pump calculation can be explained with given input values -> 0.000206 = 2*0.0006*0.018*60/60.

FAQ

What is Volume of oil discharged per revolution in gear wheel pump?

The Volume of oil discharged per revolution in gear wheel pump formula is defined as the quantity of oil used per revolution and is represented as V_g = 2*a_g*L_t*N/60 or Volume displaced per revolution for gear pump = 2*Area between successive teeth and casing*Axial Length of Gear Teeth of pump*Speed of gear pump/60. Area between successive teeth and casing is the area enclosed between two successive teeth and casing of the gear wheel pump, Axial length of gear teeth of pump is defined as the length of the gear teeth of a gear pump measured axially & Speed of gear pump is the speed of rotation of the gear of a gear pump.

How to calculate Volume of oil discharged per revolution in gear wheel pump?

The Volume of oil discharged per revolution in gear wheel pump formula is defined as the quantity of oil used per revolution is calculated using Volume displaced per revolution for gear pump = 2*Area between successive teeth and casing*Axial Length of Gear Teeth of pump*Speed of gear pump/60. To calculate Volume of oil discharged per revolution in gear wheel pump, you need Area between successive teeth and casing (a_g), Axial Length of Gear Teeth of pump (L_t) & Speed of gear pump (N). With our tool, you need to enter the respective value for Area between successive teeth and casing, Axial Length of Gear Teeth of pump & Speed of 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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