Discharge through fully sub-merged orifice Calculator

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Orifices and Mouthpieces

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✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Height of liquid bottom edge is a variable in discharge through the large rectangular orifice.ⓘ Height of Liquid Bottom Edge [H_bottom]			+10% -10%
✖Height of liquid top edge is a variable in discharge through the large rectangular orifice.ⓘ Height of Liquid Top Edge [H_top]			+10% -10%
✖The Difference in liquid level is a variable in discharge through the fully submerged orifice.ⓘ Difference in Liquid Level [H_L]			+10% -10%

✖The Discharge through orifice is an opening, of any size or shape, in a pipe or at the bottom or side wall of a container (water tank, reservoir, etc.), through which fluid is discharged.ⓘ Discharge through fully sub-merged orifice [Q_O]

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Formula

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Discharge through fully sub-merged orifice

Formula

`"Q"_{"O"} = "C"_{"d"}*"w"*("H"_{"bottom"}-"H"_{"top"})*(sqrt(2*9.81*"H"_{"L"}))`

Example

`"4.157178m³/s"="0.87"*"3.5m"*("20m"-"19.9m")*(sqrt(2*9.81*"9.5m"))`

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Discharge through fully sub-merged orifice Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q_O = C_d*w*(H_bottom-H_top)*(sqrt(2*9.81*H_L))
This formula uses 1 Functions, 6 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 Orifice - (Measured in Cubic Meter per Second) - The Discharge through orifice is an opening, of any size or shape, in a pipe or at the bottom or side wall of a container (water tank, reservoir, etc.), through which fluid is discharged.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Height of Liquid Bottom Edge - (Measured in Meter) - Height of liquid bottom edge is a variable in discharge through the large rectangular orifice.
Height of Liquid Top Edge - (Measured in Meter) - Height of liquid top edge is a variable in discharge through the large rectangular orifice.
Difference in Liquid Level - (Measured in Meter) - The Difference in liquid level is a variable in discharge through the fully submerged orifice.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.87 --> No Conversion Required
Width: 3.5 Meter --> 3.5 Meter No Conversion Required
Height of Liquid Bottom Edge: 20 Meter --> 20 Meter No Conversion Required
Height of Liquid Top Edge: 19.9 Meter --> 19.9 Meter No Conversion Required
Difference in Liquid Level: 9.5 Meter --> 9.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_O = C_d*w*(H_bottom-H_top)*(sqrt(2*9.81*H_L)) --> 0.87*3.5*(20-19.9)*(sqrt(2*9.81*9.5))

Evaluating ... ...

Q_O = 4.15717781643996

STEP 3: Convert Result to Output's Unit

4.15717781643996 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

4.15717781643996 ≈ 4.157178 Cubic Meter per Second <-- Discharge through Orifice

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 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 through fully sub-merged orifice Formula

What is coefficient of discharge?

The co-efficient of discharge is defined as the ratio of the actual discharge from an orifice to the theoretical discharge from the orifice.

What is an orifice?

The orifice is defined as the small opening on the side or bottom of a tank through which any kind of fluid is flowing. The opening can be circular, triangular, or rectangular in cross-section and they are named on the basis of shape accordingly.

How to Calculate Discharge through fully sub-merged orifice?

Discharge through fully sub-merged orifice calculator uses 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)) to calculate the Discharge through Orifice, The Discharge through fully sub-merged orifice formula is one that has its whole of the outlet side sub-merged under liquid so that it discharges a jet of liquid into the liquid of the same kind. Discharge through Orifice is denoted by Q_O symbol.

How to calculate Discharge through fully sub-merged orifice using this online calculator? To use this online calculator for Discharge through fully sub-merged orifice, enter Coefficient of Discharge (C_d), Width (w), Height of Liquid Bottom Edge (H_bottom), Height of Liquid Top Edge (H_top) & Difference in Liquid Level (H_L) and hit the calculate button. Here is how the Discharge through fully sub-merged orifice calculation can be explained with given input values -> 4.157178 = 0.87*3.5*(20-19.9)*(sqrt(2*9.81*9.5)).

FAQ

What is Discharge through fully sub-merged orifice?

The Discharge through fully sub-merged orifice formula is one that has its whole of the outlet side sub-merged under liquid so that it discharges a jet of liquid into the liquid of the same kind and is represented as Q_O = C_d*w*(H_bottom-H_top)*(sqrt(2*9.81*H_L)) or 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)). The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, Width is the measurement or extent of something from side to side, Height of liquid bottom edge is a variable in discharge through the large rectangular orifice, Height of liquid top edge is a variable in discharge through the large rectangular orifice & The Difference in liquid level is a variable in discharge through the fully submerged orifice.

How to calculate Discharge through fully sub-merged orifice?

The Discharge through fully sub-merged orifice formula is one that has its whole of the outlet side sub-merged under liquid so that it discharges a jet of liquid into the liquid of the same kind is calculated using 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)). To calculate Discharge through fully sub-merged orifice, you need Coefficient of Discharge (C_d), Width (w), Height of Liquid Bottom Edge (H_bottom), Height of Liquid Top Edge (H_top) & Difference in Liquid Level (H_L). With our tool, you need to enter the respective value for Coefficient of Discharge, Width, Height of Liquid Bottom Edge, Height of Liquid Top Edge & Difference in Liquid Level 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 Orifice?

In this formula, Discharge through Orifice uses Coefficient of Discharge, Width, Height of Liquid Bottom Edge, Height of Liquid Top Edge & Difference in Liquid Level. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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)))

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