Discharge in Borda's Mouthpiece Running Free Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head)
QM = 0.5*A*sqrt(2*9.81*Hc)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Discharge through Mouthpiece - (Measured in Cubic Meter per Second) - The Discharge through mouthpiece is considered in the flow without sudden enlargement.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Constant Head - (Measured in Meter) - The Constant head is considered for discharging of the water from an mouthpiece.
STEP 1: Convert Input(s) to Base Unit
Area: 5.1 Square Meter --> 5.1 Square Meter No Conversion Required
Constant Head: 10.5 Meter --> 10.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
QM = 0.5*A*sqrt(2*9.81*Hc) --> 0.5*5.1*sqrt(2*9.81*10.5)
Evaluating ... ...
QM = 36.6002735645514
STEP 3: Convert Result to Output's Unit
36.6002735645514 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
36.6002735645514 36.60027 Cubic Meter per Second <-- Discharge through Mouthpiece
(Calculation completed in 00.020 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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11 Flow Rate Calculators

Discharge through partially sub-merged orifice
Go Discharge through Orifice = (Coefficient of Discharge*Width*(Height of Liquid Bottom Edge-Difference in Liquid Level)*(sqrt(2*9.81*Difference in Liquid Level)))+((2/3)*Coefficient of Discharge*Thickness of Dam*(sqrt(2*9.81))*((Difference in Liquid Level^1.5)-(Height of Liquid Top Edge^1.5)))
Coefficient of Discharge given Time of Emptying Hemispherical Tank
Go Coefficient of Discharge = (pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^(3/2))-(Final Height of Liquid^(3/2))))-((2/5)*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Total Time Taken*Area of Orifice*(sqrt(2*9.81)))
Coefficient of Discharge given Time of Emptying Circular Horizontal Tank
Go Coefficient of Discharge = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Total Time Taken*Area of Orifice*(sqrt(2*9.81)))
Coefficient of Discharge given Time for Emptying Tank
Go Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81))
Discharge through fully sub-merged orifice
Go Discharge through Orifice = Coefficient of Discharge*Width*(Height of Liquid Bottom Edge-Height of Liquid Top Edge)*(sqrt(2*9.81*Difference in Liquid Level))
Discharge through large rectangular orifice
Go Discharge through Orifice = (2/3)*Coefficient of Discharge*Thickness of Dam*(sqrt(2*9.81))*((Height of Liquid Bottom Edge^1.5)-(Height of Liquid Top Edge^1.5))
Coefficient of discharge for area and velocity
Go Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)
Discharge in Convergent-Divergent Mouthpiece
Go Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head)
Discharge in Borda's Mouthpiece Running Full
Go Discharge through Mouthpiece = 0.707*Area*sqrt(2*9.81*Constant Head)
Discharge in Borda's Mouthpiece Running Free
Go Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head)
Coefficient of discharge
Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge

Discharge in Borda's Mouthpiece Running Free Formula

Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head)
QM = 0.5*A*sqrt(2*9.81*Hc)

What is internal mouthpiece?

A short cylindrical tube is attached to an orifice in such a way that the tube projects inwardly to a tank, which is called an internal mouthpiece or Re-entrant or Borda's mouthpiece.

What is mouthpiece?

A mouthpiece is a short tube of length not more than two to three times its diameter, which is. fitted to a tank for measuring the discharge of the flow from the tank. By fitting the mouthpiece, the. discharge through an orifice of the tank can be increased.

How to Calculate Discharge in Borda's Mouthpiece Running Free?

Discharge in Borda's Mouthpiece Running Free calculator uses Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head) to calculate the Discharge through Mouthpiece, The Discharge in Borda's Mouthpiece Running Free formula is considered where the length of the tube is equal to its diameter, and the jet of liquid comes out from the mouthpiece without touching the sides of the tube. Discharge through Mouthpiece is denoted by QM symbol.

How to calculate Discharge in Borda's Mouthpiece Running Free using this online calculator? To use this online calculator for Discharge in Borda's Mouthpiece Running Free, enter Area (A) & Constant Head (Hc) and hit the calculate button. Here is how the Discharge in Borda's Mouthpiece Running Free calculation can be explained with given input values -> 36.60027 = 0.5*5.1*sqrt(2*9.81*10.5).

FAQ

What is Discharge in Borda's Mouthpiece Running Free?
The Discharge in Borda's Mouthpiece Running Free formula is considered where the length of the tube is equal to its diameter, and the jet of liquid comes out from the mouthpiece without touching the sides of the tube and is represented as QM = 0.5*A*sqrt(2*9.81*Hc) or Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head). The area is the amount of two-dimensional space taken up by an object & The Constant head is considered for discharging of the water from an mouthpiece.
How to calculate Discharge in Borda's Mouthpiece Running Free?
The Discharge in Borda's Mouthpiece Running Free formula is considered where the length of the tube is equal to its diameter, and the jet of liquid comes out from the mouthpiece without touching the sides of the tube is calculated using Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head). To calculate Discharge in Borda's Mouthpiece Running Free, you need Area (A) & Constant Head (Hc). With our tool, you need to enter the respective value for Area & Constant Head 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 Discharge through Mouthpiece?
In this formula, Discharge through Mouthpiece uses Area & Constant Head. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head)
  • Discharge through Mouthpiece = 0.707*Area*sqrt(2*9.81*Constant Head)
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