Theoretical Discharge given Volumetric Efficiency and Actual Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump
Qgp = Qga/ηv
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.
Actual Discharge of Pump for Gear Pump - (Measured in Cubic Meter per Second) - Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute.
Volumetric Efficiency of Pump - Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge.
STEP 1: Convert Input(s) to Base Unit
Actual Discharge of Pump for Gear Pump: 0.4284 Cubic Meter per Second --> 0.4284 Cubic Meter per Second No Conversion Required
Volumetric Efficiency of Pump: 0.51 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qgp = Qgav --> 0.4284/0.51
Evaluating ... ...
Qgp = 0.84
STEP 3: Convert Result to Output's Unit
0.84 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.84 Cubic Meter per Second <-- Theoretical Discharge of Pump in Gear Pump
(Calculation completed in 00.020 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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National Institute of Technology (NIT), Tiruchirapalli
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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 given Volumetric Efficiency and Actual Discharge Formula

Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump
Qgp = Qga/ηv

What is discharge of a pump?

Discharge of a pump is defined as the amount of a liquid pumped out in unit time. It is also called as flow capacity of a pump.

How to Calculate Theoretical Discharge given Volumetric Efficiency and Actual Discharge?

Theoretical Discharge given Volumetric Efficiency and Actual Discharge calculator uses Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump to calculate the Theoretical Discharge of Pump in Gear Pump, Theoretical Discharge given Volumetric Efficiency and Actual Discharge 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 given Volumetric Efficiency and Actual Discharge using this online calculator? To use this online calculator for Theoretical Discharge given Volumetric Efficiency and Actual Discharge, enter Actual Discharge of Pump for Gear Pump (Qga) & Volumetric Efficiency of Pump v) and hit the calculate button. Here is how the Theoretical Discharge given Volumetric Efficiency and Actual Discharge calculation can be explained with given input values -> 0.84 = 0.4284/0.51.

FAQ

What is Theoretical Discharge given Volumetric Efficiency and Actual Discharge?
Theoretical Discharge given Volumetric Efficiency and Actual Discharge 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 = Qgav or Theoretical Discharge of Pump in Gear Pump = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump. Actual discharge of pump for Gear Pump is the actual amount of liquid pumped out in a minute & Volumetric Efficiency of Pump is the ratio of actual discharge to the theoretical discharge.
How to calculate Theoretical Discharge given Volumetric Efficiency and Actual Discharge?
Theoretical Discharge given Volumetric Efficiency and Actual Discharge 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 = Actual Discharge of Pump for Gear Pump/Volumetric Efficiency of Pump. To calculate Theoretical Discharge given Volumetric Efficiency and Actual Discharge, you need Actual Discharge of Pump for Gear Pump (Qga) & Volumetric Efficiency of Pump v). With our tool, you need to enter the respective value for Actual Discharge of Pump for Gear Pump & Volumetric Efficiency of 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 Actual Discharge of Pump for Gear Pump & Volumetric Efficiency of Pump. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear 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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