Theoretical discharge given outer and inner gear diameter Calculator

Category	Physics ↺
Physics	Fluid Mechanics ↺
Fluid-Mechanics	Hydraulic Pumps ↺
Hydraulic-Pumps	Gear pumps ↺

✖Outer diameter of the gear teeth is the diameter of a circle around the outer surface, or tops of the gear teeth.ⓘ Outer diameter of the gear teeth [D_o]			+10% -10%
✖Inner diameter of gear teeth is the diameter of the circle passing along the base of the teeth of a gear.ⓘ Inner diameter of gear teeth [D_i]			+10% -10%
✖Angular speed of the driving member in rpmⓘ Angular speed of the driving member in rpm [N₁]			+10% -10%

✖Theoretical discharge of a pump is the volume of liquid pumped out in unit time.ⓘ Theoretical discharge given outer and inner gear diameter [Q_th]

⎘ Copy

👎 Report Issue!

👍 Share Now!

You are here:

Home »
Physics »
Fluid Mechanics »
Hydraulic Pumps »
Gear pumps »
Theoretical discharge given outer and inner gear diameter

Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 100+ more calculators!

Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Output torque or resisting or load torque on the driven member

Output torque or load torque on the driven member=-(Input torque on the driving member)*(Angular speed of the driving member in rpm/Angular speed of the driven member in rpm) GO

Holding or braking or fixing torque on the fixed member

Braking or fixing torque on the fixed member=Input torque on the driving member*((Angular speed of the driving member in rpm/Angular speed of the driven member in rpm)-1) GO

Width of vane pump given theoretical discharge

Width of rotor=(Theoretical discharge of a pump*2)/(pi*Eccentricity *Angular speed of the driving member in rpm*(Diameter of cam ring+Diameter of rotor)) GO

Theoretical discharge of a vane pump given diameter of camring and rotor

Theoretical discharge of a pump=(pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)*Angular speed of the driving member in rpm GO

Width of the rotor given volumetric displacement

Width of rotor=(Theoretical volumetric displacement*4)/(pi*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)) GO

Theoretical volumetric displacement of an external gear pump

Theoretical volumetric displacement=(pi/4)*Width of rotor*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2) GO

Theoretical discharge of an external gear pump given volumetric displacement

Theoretical discharge of a pump=Theoretical volumetric displacement*(Angular speed of the driving member in rpm/60) GO

Theoretical discharge of a vane pump given volumetric displacement

Theoretical discharge of a pump=Theoretical volumetric displacement*Angular speed of the driving member in rpm GO

Theoretical discharge

Theoretical discharge of a pump=Theoretical volumetric displacement*Angular speed of the driving member in rpm GO

Theoretical power of piston pump

Theoretical power delivered=(2*pi*Angular speed of the driving member in rpm*Theoretical torque)/60 GO

Actual torque developed

Actual torque=(Input Power*60)/(2*pi*Angular speed of the driving member in rpm) GO

< 6 Other formulas that calculate the same Output

Theoretical discharge of a vane pump given diameter of camring and rotor

Theoretical discharge of a pump=(pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)*Angular speed of the driving member in rpm GO

Theoretical discharge of an external gear pump given volumetric displacement

Theoretical discharge of a pump=Theoretical volumetric displacement*(Angular speed of the driving member in rpm/60) GO

Theoretical discharge of a vane pump given volumetric displacement

Theoretical discharge of a pump=Theoretical volumetric displacement*Angular speed of the driving member in rpm GO

Theoretical discharge

Theoretical discharge of a pump=Theoretical volumetric displacement*Angular speed of the driving member in rpm GO

Theoretical discharge given volumetric efficiency(%) and actual discharge

Theoretical discharge of a pump=(Actual discharge of a pump/Volumetric efficiency of a pump)*100 GO

Theoretical discharge given pump slippage

Theoretical discharge of a pump=Pump slippage+Actual discharge of a pump GO

Theoretical discharge given outer and inner gear diameter Formula

Theoretical discharge of a pump=(pi/4)*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)*(Angular speed of the driving member in rpm/60)
Qth=(pi/4)*(Do^2-Di^2)*(N1/60)

More formulas

Theoretical volumetric displacement of an external gear pump GO

Theoretical discharge of an external gear pump given volumetric displacement GO

Volumetric efficiency of gear pumps GO

Pump slippage GO

Pump slippage percentage GO

Theoretical discharge given volumetric efficiency(%) and actual discharge GO

Actual discharge given volumetric efficiency(%) and theoretical discharge GO

Theoretical discharge given pump slippage GO

Actual discharge given pump slippage GO

Angular speed given theoretical discharge and volumetric displacement GO

Width of the rotor given volumetric displacement GO

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 given outer and inner gear diameter?

Theoretical discharge given outer and inner gear diameter calculator uses Theoretical discharge of a pump=(pi/4)*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)*(Angular speed of the driving member in rpm/60) to calculate the Theoretical discharge of a pump, The Theoretical discharge given outer and inner gear diameter formula is defined as the product of pi , angular speed and difference between the square of outer diameter and square of inner diameter, divided by 240. Theoretical discharge of a pump and is denoted by Q_th symbol.

How to calculate Theoretical discharge given outer and inner gear diameter using this online calculator? To use this online calculator for Theoretical discharge given outer and inner gear diameter, enter Outer diameter of the gear teeth (D_o), Inner diameter of gear teeth (D_i) and Angular speed of the driving member in rpm (N₁) and hit the calculate button. Here is how the Theoretical discharge given outer and inner gear diameter calculation can be explained with given input values -> 0.282743 = (pi/4)*(1^2-0.8^2)*(1/60).

FAQ

What is Theoretical discharge given outer and inner gear diameter?

The Theoretical discharge given outer and inner gear diameter formula is defined as the product of pi , angular speed and difference between the square of outer diameter and square of inner diameter, divided by 240 and is represented as Q_th=(pi/4)*(D_o^2-D_i^2)*(N₁/60) or Theoretical discharge of a pump=(pi/4)*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)*(Angular speed of the driving member in rpm/60). Outer diameter of the gear teeth is the diameter of a circle around the outer surface, or tops of the gear teeth, Inner diameter of gear teeth is the diameter of the circle passing along the base of the teeth of a gear and Angular speed of the driving member in rpm.

How to calculate Theoretical discharge given outer and inner gear diameter?

The Theoretical discharge given outer and inner gear diameter formula is defined as the product of pi , angular speed and difference between the square of outer diameter and square of inner diameter, divided by 240 is calculated using Theoretical discharge of a pump=(pi/4)*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)*(Angular speed of the driving member in rpm/60). To calculate Theoretical discharge given outer and inner gear diameter, you need Outer diameter of the gear teeth (D_o), Inner diameter of gear teeth (D_i) and Angular speed of the driving member in rpm (N₁). With our tool, you need to enter the respective value for Outer diameter of the gear teeth, Inner diameter of gear teeth and Angular speed of the driving member in rpm 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 a pump?

In this formula, Theoretical discharge of a pump uses Outer diameter of the gear teeth, Inner diameter of gear teeth and Angular speed of the driving member in rpm. We can use 6 other way(s) to calculate the same, which is/are as follows -

Theoretical discharge of a pump=Theoretical volumetric displacement*(Angular speed of the driving member in rpm/60)
Theoretical discharge of a pump=Theoretical volumetric displacement*Angular speed of the driving member in rpm
Theoretical discharge of a pump=Theoretical volumetric displacement*Angular speed of the driving member in rpm
Theoretical discharge of a pump=(Actual discharge of a pump/Volumetric efficiency of a pump)*100
Theoretical discharge of a pump=Pump slippage+Actual discharge of a pump
Theoretical discharge of a pump=(pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)*Angular speed of the driving member in rpm

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!