Discharge through Pipe given Coefficient of Discharge Calculator

✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Width of Pipe is a measure around the circumference of the pipe with flexible measuring tape.ⓘ Width of Pipe [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%
✖Difference in Liquid Level is a variable in discharge through the fully submerged orifice.ⓘ Difference in Liquid Level [H]			+10% -10%

✖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 Pipe given Coefficient of Discharge [Q_O]

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Formula

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Discharge through Pipe given Coefficient of Discharge

Formula

`"Q"_{"O"} = "C"_{"d"}*"W"*("H"_{"Bottom"}-"H"_{"Top"})*(sqrt(2*9.81*"H"))`

Example

`"0.040529m³/s"="0.66"*"3.1m"*("20m"-"19.9m")*(sqrt(2*9.81*"0.002m"))`

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Discharge through Pipe given Coefficient of Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge through Orifice = Coefficient of Discharge*Width of Pipe*(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))
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) - 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 - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
Width of Pipe - (Measured in Meter) - Width of Pipe is a measure around the circumference of the pipe with flexible measuring tape.
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) - 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: 0.66 --> No Conversion Required
Width of Pipe: 3.1 Meter --> 3.1 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: 0.002 Meter --> 0.002 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)) --> 0.66*3.1*(20-19.9)*(sqrt(2*9.81*0.002))

Evaluating ... ...

Q_O = 0.0405293957319875

STEP 3: Convert Result to Output's Unit

0.0405293957319875 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0405293957319875 ≈ 0.040529 Cubic Meter per Second <-- Discharge through Orifice

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Equations of Motion and Energy Equation » Orifice Meter » Discharge through Pipe given Coefficient of Discharge

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< 11 Orifice Meter Calculators

Actual Velocity at Section 2 given Coefficient of Contraction

Go Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2)

Discharge through Pipe given Coefficient of Discharge

Go Discharge through Orifice = Coefficient of Discharge*Width of Pipe*(Height of Liquid Bottom Edge-Height of Liquid Top Edge)*(sqrt(2*9.81*Difference in Liquid Level))

Theoretical Velocity at Section 1 in Orifice Meter

Go Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head))

Theoretical Velocity at Section 2 in Orifice Meter

Go Velocity at Point 2 = sqrt(2*[g]*Venturi Head+Velocity at Point 1^2)

Coefficient of Discharge given Coefficient of Contraction

Go Coefficient of Discharge = Coefficient of Velocity*Coefficient of Contraction

Coefficient of Contraction given Coefficient of Discharge

Go Coefficient of Contraction = Coefficient of Discharge/Coefficient of Velocity

Coefficient of Velocity given Coefficient of Discharge

Go Coefficient of Velocity = Coefficient of Discharge/Coefficient of Contraction

Coefficient of Contraction

Go Coefficient of Contraction = Coefficient of Discharge/Coefficient of Velocity

Area of Orifice given Area at Section 2 or at Vena Contracta

Go Area of Orifice = Cross Section Area 2/Coefficient of Contraction

Area at Section 2 or at Vena Contracta

Go Cross Section Area 2 = Coefficient of Contraction*Area of Orifice

Actual Velocity given Theoretical Velocity at Section 2

Go Actual Velocity = Coefficient of Velocity*Velocity at Point 2

Discharge through Pipe given Coefficient of Discharge 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.

How to Calculate Discharge through Pipe given Coefficient of Discharge?

Discharge through Pipe given Coefficient of Discharge calculator uses Discharge through Orifice = Coefficient of Discharge*Width of Pipe*(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 Pipe given Coefficient of Discharge 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 Pipe given Coefficient of Discharge using this online calculator? To use this online calculator for Discharge through Pipe given Coefficient of Discharge, enter Coefficient of Discharge (C_d), Width of Pipe (W), Height of Liquid Bottom Edge (H_Bottom), Height of Liquid Top Edge (H_Top) & Difference in Liquid Level (H) and hit the calculate button. Here is how the Discharge through Pipe given Coefficient of Discharge calculation can be explained with given input values -> 0.040529 = 0.66*3.1*(20-19.9)*(sqrt(2*9.81*0.002)).

FAQ

What is Discharge through Pipe given Coefficient of Discharge?

The Discharge through Pipe given Coefficient of Discharge 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)) or Discharge through Orifice = Coefficient of Discharge*Width of Pipe*(Height of Liquid Bottom Edge-Height of Liquid Top Edge)*(sqrt(2*9.81*Difference in Liquid Level)). Coefficient of Discharge is ratio of Actual discharge to theoretical discharge, Width of Pipe is a measure around the circumference of the pipe with flexible measuring tape, 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 & Difference in Liquid Level is a variable in discharge through the fully submerged orifice.

How to calculate Discharge through Pipe given Coefficient of Discharge?

The Discharge through Pipe given Coefficient of Discharge 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 of Pipe*(Height of Liquid Bottom Edge-Height of Liquid Top Edge)*(sqrt(2*9.81*Difference in Liquid Level)). To calculate Discharge through Pipe given Coefficient of Discharge, you need Coefficient of Discharge (C_d), Width of Pipe (W), Height of Liquid Bottom Edge (H_Bottom), Height of Liquid Top Edge (H_Top) & Difference in Liquid Level (H). With our tool, you need to enter the respective value for Coefficient of Discharge, Width of Pipe, 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.

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