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Discharge through Pipe given Coefficient of Discharge Formula

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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. Check FAQs

Q O = C d \cdot W \cdot (H Bottom - H Top) \cdot (\sqrt{2 \cdot 9.81 \cdot H})

Q_O - Discharge through Orifice?C_d - Coefficient of Discharge?W - Width of Pipe?H_Bottom - Height of Liquid Bottom Edge?H_Top - Height of Liquid Top Edge?H - Difference in Liquid Level?

Discharge through Pipe given Coefficient of Discharge Example

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Here is how the Discharge through Pipe given Coefficient of Discharge equation looks like with Values.

Here is how the Discharge through Pipe given Coefficient of Discharge equation looks like with Units.

Here is how the Discharge through Pipe given Coefficient of Discharge equation looks like.

0.0405 = 0.66 \cdot 3.1 \cdot (20 - 19.9) \cdot (\sqrt{2 \cdot 9.81 \cdot 0.002})

0.0405m³/s = 0.66 \cdot 3.1m \cdot (20m - 19.9m) \cdot (\sqrt{2 \cdot 9.81 \cdot 0.002m})

0.0405 = 0.66 \cdot 3.1 \cdot (20 - 19.9) \cdot (\sqrt{2 \cdot 9.81 \cdot 0.002})

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Discharge through Pipe given Coefficient of Discharge Solution

Follow our step by step solution on how to calculate Discharge through Pipe given Coefficient of Discharge?

FIRST Step Consider the formula

Q O = C d \cdot W \cdot (H Bottom - H Top) \cdot (\sqrt{2 \cdot 9.81 \cdot H})

Next Step Substitute values of Variables

∴

Q O = 0.66 \cdot 3.1m \cdot (20m - 19.9m) \cdot (\sqrt{2 \cdot 9.81 \cdot 0.002m})

Next Step Prepare to Evaluate

∴

Q O = 0.66 \cdot 3.1 \cdot (20 - 19.9) \cdot (\sqrt{2 \cdot 9.81 \cdot 0.002})

Next Step Evaluate

∴

Q O = 0.0405293957319875m³/s

LAST Step Rounding Answer

∴

Q O = 0.0405m³/s

Discharge through Pipe given Coefficient of Discharge Formula Elements

Variables

Functions

Discharge through Orifice

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.

Symbol: Q_O

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge through Orifice

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.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Width of Pipe

The Width of Pipe refers to the measure around the circumference of the pipe with flexible measuring tape.

Symbol: W

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Pipe

Height of Liquid Bottom Edge

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.

Symbol: H_Bottom

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Liquid Bottom Edge

Height of Liquid Top Edge

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.

Symbol: H_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Liquid Top Edge

Difference in Liquid Level

The Difference in Liquid Level refers to the variable in discharge through the fully submerged orifice.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Difference in Liquid Level

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.

Syntax: sqrt(Number)

Other formulas in Orifice Meter category

Go Theoretical Velocity at Section 2 in Orifice Meter

V p2 = \sqrt{2 \cdot [g] \cdot h venturi + {V 1}^{2}}

Go Theoretical Velocity at Section 1 in Orifice Meter

V 1 = \sqrt{({V p2}^{2}) - (2 \cdot [g] \cdot h venturi)}

Go Actual Velocity given Theoretical Velocity at Section 2

v = C v \cdot V p2

Go Area at Section 2 or at Vena Contracta

A f = C c \cdot a o

How to Evaluate Discharge through Pipe given Coefficient of Discharge?

Discharge through Pipe given Coefficient of Discharge evaluator 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 evaluate 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 evaluate Discharge through Pipe given Coefficient of Discharge using this online evaluator? To use this online evaluator 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.

FAQs on Discharge through Pipe given Coefficient of Discharge

What is the formula to find Discharge through Pipe given Coefficient of Discharge?

The formula of Discharge through Pipe given Coefficient of Discharge is expressed as 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)). Here is an example- 0.040529 = 0.66*3.1*(20-19.9)*(sqrt(2*9.81*0.002)).

How to calculate Discharge through Pipe given Coefficient of Discharge?

With 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) we can find Discharge through Pipe given Coefficient of Discharge using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

Can the Discharge through Pipe given Coefficient of Discharge be negative?

No, the Discharge through Pipe given Coefficient of Discharge, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge through Pipe given Coefficient of Discharge?

Discharge through Pipe given Coefficient of Discharge is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge through Pipe given Coefficient of Discharge can be measured.

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Discharge through Pipe given Coefficient of Discharge Formula

Discharge through Pipe given Coefficient of Discharge Example

Discharge through Pipe given Coefficient of Discharge Solution

Discharge through Pipe given Coefficient of Discharge Formula Elements

Other formulas in Orifice Meter category

How to Evaluate Discharge through Pipe given Coefficient of Discharge?

FAQs on Discharge through Pipe given Coefficient of Discharge

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