Discharge through Pipe given Coefficient of Discharge Calculator

✖The Coefficient of Discharge refers to the volume of fluid (such as water) that flows through a pipe or channel per unit of time.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖The Width of Pipe refers to the measure around the circumference of the pipe with flexible measuring tape.ⓘ Width of Pipe [W]			+10% -10%
✖The Height of Liquid Bottom Edge refers to the measurement of the liquid’s surface level from the bottom of the container to the lowest point of the liquid’s surface.ⓘ Height of Liquid Bottom Edge [H_Bottom]			+10% -10%
✖The Height of Liquid Top Edge refers to the measurement of the liquid’s surface level from the bottom of the container to the lowest point of the liquid’s surface.ⓘ Height of Liquid Top Edge [H_Top]			+10% -10%
✖The Difference in Liquid Level refers to the variable in discharge through the fully submerged orifice.ⓘ Difference in Liquid Level [H]			+10% -10%

✖The Discharge through Orifice refers to the 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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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) - The Discharge through Orifice refers to the 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 refers to the volume of fluid (such as water) that flows through a pipe or channel per unit of time.
Width of Pipe - (Measured in Meter) - The Width of Pipe refers to the measure around the circumference of the pipe with flexible measuring tape.
Height of Liquid Bottom Edge - (Measured in Meter) - The Height of Liquid Bottom Edge refers to the measurement of the liquid’s surface level from the bottom of the container to the lowest point of the liquid’s surface.
Height of Liquid Top Edge - (Measured in Meter) - The Height of Liquid Top Edge refers to the measurement of the liquid’s surface level from the bottom of the container to the lowest point of the liquid’s surface.
Difference in Liquid Level - (Measured in Meter) - The Difference in Liquid Level refers to the 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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< Orifice Meter Calculators

Theoretical Velocity at Section 1 in Orifice Meter

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

Theoretical Velocity at Section 2 in Orifice Meter

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

Area at Section 2 or at Vena Contracta

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

Actual Velocity given Theoretical Velocity at Section 2

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

Discharge through Pipe given Coefficient of Discharge Formula

LaTeX Go

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 defined as the 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 defined as the 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)). The Coefficient of Discharge refers to the volume of fluid (such as water) that flows through a pipe or channel per unit of time, The Width of Pipe refers to the measure around the circumference of the pipe with flexible measuring tape, The Height of Liquid Bottom Edge refers to the measurement of the liquid’s surface level from the bottom of the container to the lowest point of the liquid’s surface, The Height of Liquid Top Edge refers to the measurement of the liquid’s surface level from the bottom of the container to the lowest point of the liquid’s surface & The Difference in Liquid Level refers to the 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 defined as the 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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