Theoretical Discharge of External Gear Pump Calculator

✖Theoretical volumetric displacement in Gear Pump is the amount of liquid displaced per revolution.ⓘ Theoretical Volumetric Displacement in Gear Pump [V_gp]			+10% -10%
✖The Angular Speed of Driving Member in Gear Pump is the rate of change of angular position of the driving or the input member.ⓘ Angular Speed of Driving Member in Gear Pump [n₁]			+10% -10%

✖Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.ⓘ Theoretical Discharge of External Gear Pump [Q_gp]

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Theoretical Discharge of External Gear Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump
Q_gp = V_gp*n₁
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.
Theoretical Volumetric Displacement in Gear Pump - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement in Gear Pump is the amount of liquid displaced per revolution.
Angular Speed of Driving Member in Gear Pump - (Measured in Radian per Second) - The Angular Speed of Driving Member in Gear Pump is the rate of change of angular position of the driving or the input member.

STEP 1: Convert Input(s) to Base Unit

Theoretical Volumetric Displacement in Gear Pump: 0.031 Cubic Meter Per Revolution --> 0.031 Cubic Meter Per Revolution No Conversion Required
Angular Speed of Driving Member in Gear Pump: 258.75 Revolution per Minute --> 27.0962366358321 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_gp = V_gp*n₁ --> 0.031*27.0962366358321

Evaluating ... ...

Q_gp = 0.839983335710795

STEP 3: Convert Result to Output's Unit

0.839983335710795 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.839983335710795 ≈ 0.839983 Cubic Meter per Second <-- Theoretical Discharge of Pump in Gear Pump

(Calculation completed in 00.004 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Gear Pumps Calculators

Theoretical Volumetric Displacement of External Gear Pump

LaTeX Go Theoretical Volumetric Displacement in Gear Pump = pi/4*Width of Rotor*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)

Theoretical Discharge of External Gear Pump

LaTeX 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

LaTeX Go Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100

Pump Slippage

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

Theoretical Discharge of External Gear Pump Formula

LaTeX Go

Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump
Q_gp = V_gp*n₁

What is theoretical discharge?

Theoretical discharge, also called as flow capacity of a pump is the volume of liquid discharged per unit time.

How to Calculate Theoretical Discharge of External Gear Pump?

Theoretical Discharge of External Gear Pump calculator uses Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump to calculate the Theoretical Discharge of Pump in Gear Pump, Theoretical Discharge of External Gear Pump formula is defined as the volumetric flow rate of a gear pump, which is a type of positive displacement pump used in hydraulic systems, and is a critical parameter in determining the pump's performance and efficiency in various industrial applications. Theoretical Discharge of Pump in Gear Pump is denoted by Q_gp symbol.

How to calculate Theoretical Discharge of External Gear Pump using this online calculator? To use this online calculator for Theoretical Discharge of External Gear Pump, enter Theoretical Volumetric Displacement in Gear Pump (V_gp) & Angular Speed of Driving Member in Gear Pump (n₁) and hit the calculate button. Here is how the Theoretical Discharge of External Gear Pump calculation can be explained with given input values -> 0.839983 = 0.031*27.0962366358321.

FAQ

What is Theoretical Discharge of External Gear Pump?

Theoretical Discharge of External Gear Pump formula is defined as the volumetric flow rate of a gear pump, which is a type of positive displacement pump used in hydraulic systems, and is a critical parameter in determining the pump's performance and efficiency in various industrial applications and is represented as Q_gp = V_gp*n₁ or Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump. Theoretical volumetric displacement in Gear Pump is the amount of liquid displaced per revolution & The Angular Speed of Driving Member in Gear Pump is the rate of change of angular position of the driving or the input member.

How to calculate Theoretical Discharge of External Gear Pump?

Theoretical Discharge of External Gear Pump formula is defined as the volumetric flow rate of a gear pump, which is a type of positive displacement pump used in hydraulic systems, and is a critical parameter in determining the pump's performance and efficiency in various industrial applications is calculated using Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump. To calculate Theoretical Discharge of External Gear Pump, you need Theoretical Volumetric Displacement in Gear Pump (V_gp) & Angular Speed of Driving Member in Gear Pump (n₁). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement in Gear Pump & Angular Speed of Driving Member 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 Theoretical Discharge of Pump in Gear Pump?

In this formula, Theoretical Discharge of Pump in Gear Pump uses Theoretical Volumetric Displacement in Gear Pump & Angular Speed of Driving Member in 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 = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump
Theoretical Discharge of Pump in Gear Pump = Pump Slippage+Actual Discharge of Pump for Gear 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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