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Discharge through large rectangular orifice Formula

GoDischarge through fully sub-merged orifice Formula

GoDischarge through partially sub-merged orifice Formula

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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. Check FAQs

Q O = (\frac{2}{3}) \cdot C d \cdot b \cdot (\sqrt{2 \cdot 9.81}) \cdot (({H b}^{1.5}) - ({H top}^{1.5}))

Q_O - Discharge through Orifice?C_d - Coefficient of Discharge?b - Thickness of Dam?H_b - Height of Liquid Bottom Edge?H_top - Height of Liquid Top Edge?

Discharge through large rectangular orifice Example

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Here is how the Discharge through large rectangular orifice equation looks like with Values.

Here is how the Discharge through large rectangular orifice equation looks like with Units.

Here is how the Discharge through large rectangular orifice equation looks like.

20.6548 = (\frac{2}{3}) \cdot 0.87 \cdot 12 \cdot (\sqrt{2 \cdot 9.81}) \cdot ((20^{1.5}) - ({19.9}^{1.5}))

20.6548m³/s = (\frac{2}{3}) \cdot 0.87 \cdot 12m \cdot (\sqrt{2 \cdot 9.81}) \cdot (({20m}^{1.5}) - ({19.9m}^{1.5}))

20.6548 = (\frac{2}{3}) \cdot 0.87 \cdot 12 \cdot (\sqrt{2 \cdot 9.81}) \cdot ((20^{1.5}) - ({19.9}^{1.5}))

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Discharge through large rectangular orifice Solution

Follow our step by step solution on how to calculate Discharge through large rectangular orifice?

FIRST Step Consider the formula

Q O = (\frac{2}{3}) \cdot C d \cdot b \cdot (\sqrt{2 \cdot 9.81}) \cdot (({H b}^{1.5}) - ({H top}^{1.5}))

Next Step Substitute values of Variables

∴

Q O = (\frac{2}{3}) \cdot 0.87 \cdot 12m \cdot (\sqrt{2 \cdot 9.81}) \cdot (({20m}^{1.5}) - ({19.9m}^{1.5}))

Next Step Prepare to Evaluate

∴

Q O = (\frac{2}{3}) \cdot 0.87 \cdot 12 \cdot (\sqrt{2 \cdot 9.81}) \cdot ((20^{1.5}) - ({19.9}^{1.5}))

Next Step Evaluate

∴

Q O = 20.6548162874869m³/s

LAST Step Rounding Answer

∴

Q O = 20.6548m³/s

Discharge through large rectangular orifice Formula Elements

Variables

Functions

Discharge through Orifice

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.

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 or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Discharge

Thickness of Dam

Thickness of Dam is the measurement or extent of dam from side to side.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Dam

Height of Liquid Bottom Edge

Height of liquid bottom edge is a variable in discharge through the large rectangular orifice.

Symbol: H_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Liquid Bottom Edge

Height of Liquid Top Edge

Height of liquid top edge is a variable in discharge through the large rectangular orifice.

Symbol: H_top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Liquid Top Edge

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 to find Discharge through Orifice

Go Discharge through fully sub-merged orifice

Q O = C d \cdot w \cdot (H b - H top) \cdot (\sqrt{2 \cdot 9.81 \cdot H L})

Go Discharge through partially sub-merged orifice

Q O = (C d \cdot w \cdot (H b - H L) \cdot (\sqrt{2 \cdot 9.81 \cdot H L})) + ((\frac{2}{3}) \cdot C d \cdot b \cdot (\sqrt{2 \cdot 9.81}) \cdot (({H L}^{1.5}) - ({H top}^{1.5})))

Other formulas in Flow Rate category

Go Coefficient of discharge

C d = \frac{Q a}{Q th}

Go Coefficient of discharge for area and velocity

C d = \frac{v a \cdot A a}{V th \cdot A t}

Go Coefficient of Discharge given Time for Emptying Tank

C d = \frac{2 \cdot A T \cdot ((\sqrt{H i}) - (\sqrt{H f}))}{t total \cdot a \cdot \sqrt{2 \cdot 9.81}}

Go Coefficient of Discharge given Time of Emptying Hemispherical Tank

C d = \frac{π \cdot (((\frac{4}{3}) \cdot R t \cdot (({H i}^{\frac{3}{2}}) - ({H f}^{\frac{3}{2}}))) - ((\frac{2}{5}) \cdot (({H i}^{\frac{5}{2}}) - {(H f)}^{\frac{5}{2}})))}{t total \cdot a \cdot (\sqrt{2 \cdot 9.81})}

How to Evaluate Discharge through large rectangular orifice?

Discharge through large rectangular orifice evaluator uses 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)) to evaluate the Discharge through Orifice, The Discharge through large rectangular orifice formula is known from discharge through large rectangular orifice where one side of the tank is discharging freely into the atmosphere under a constant head. Discharge through Orifice is denoted by Q_O symbol.

How to evaluate Discharge through large rectangular orifice using this online evaluator? To use this online evaluator for Discharge through large rectangular orifice, enter Coefficient of Discharge (C_d), Thickness of Dam (b), Height of Liquid Bottom Edge (H_b) & Height of Liquid Top Edge (H_top) and hit the calculate button.

FAQs on Discharge through large rectangular orifice

What is the formula to find Discharge through large rectangular orifice?

The formula of Discharge through large rectangular orifice is expressed as 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)). Here is an example- 3.786716 = (2/3)*0.87*12*(sqrt(2*9.81))*((20^1.5)-(19.9^1.5)).

How to calculate Discharge through large rectangular orifice?

With Coefficient of Discharge (C_d), Thickness of Dam (b), Height of Liquid Bottom Edge (H_b) & Height of Liquid Top Edge (H_top) we can find Discharge through large rectangular orifice using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Discharge through Orifice?

Here are the different ways to Calculate Discharge through Orifice-

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 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)))

Can the Discharge through large rectangular orifice be negative?

No, the Discharge through large rectangular orifice, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge through large rectangular orifice?

Discharge through large rectangular orifice 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 large rectangular orifice can be measured.

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Discharge through large rectangular orifice Formula

​GoDischarge through fully sub-merged orifice Formula

​GoDischarge through partially sub-merged orifice Formula

Discharge through large rectangular orifice Example

Discharge through large rectangular orifice Solution

Discharge through large rectangular orifice Formula Elements

Other Formulas to find Discharge through Orifice

Other formulas in Flow Rate category

How to Evaluate Discharge through large rectangular orifice?

FAQs on Discharge through large rectangular orifice

Variable Name

GoDischarge through fully sub-merged orifice Formula

GoDischarge through partially sub-merged orifice Formula