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
Qgp = Vgp*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
Qgp = Vgp*n1 --> 0.031*27.0962366358321
Evaluating ... ...
Qgp = 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)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

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 of External Gear Pump Formula

Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump
Qgp = Vgp*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 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 Qgp 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 (Vgp) & 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 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 Qgp = Vgp*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 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 = 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 (Vgp) & 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!