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Discharge through partially sub-merged orifice Formula

GoDischarge through large rectangular orifice Formula

GoDischarge through fully 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 = (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})))

Q_O - Discharge through Orifice?C_d - Coefficient of Discharge?w - Width?H_b - Height of Liquid Bottom Edge?H_L - Difference in Liquid Level?b - Thickness of Dam?H_top - Height of Liquid Top Edge?

Discharge through partially sub-merged orifice Example

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Here is how the Discharge through partially sub-merged orifice equation looks like with Values.

Here is how the Discharge through partially sub-merged orifice equation looks like with Units.

Here is how the Discharge through partially sub-merged orifice equation looks like.

50126.6776 = (0.87 \cdot 3.5 \cdot (20 - 200) \cdot (\sqrt{2 \cdot 9.81 \cdot 200})) + ((\frac{2}{3}) \cdot 0.87 \cdot 12 \cdot (\sqrt{2 \cdot 9.81}) \cdot ((200^{1.5}) - ({19.9}^{1.5})))

50126.6776m³/s = (0.87 \cdot 3.5m \cdot (20m - 200m) \cdot (\sqrt{2 \cdot 9.81 \cdot 200m})) + ((\frac{2}{3}) \cdot 0.87 \cdot 12m \cdot (\sqrt{2 \cdot 9.81}) \cdot (({200m}^{1.5}) - ({19.9m}^{1.5})))

50126.6776 = (0.87 \cdot 3.5 \cdot (20 - 200) \cdot (\sqrt{2 \cdot 9.81 \cdot 200})) + ((\frac{2}{3}) \cdot 0.87 \cdot 12 \cdot (\sqrt{2 \cdot 9.81}) \cdot ((200^{1.5}) - ({19.9}^{1.5})))

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Discharge through partially sub-merged orifice Solution

Follow our step by step solution on how to calculate Discharge through partially sub-merged orifice?

FIRST Step Consider the formula

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})))

Next Step Substitute values of Variables

∴

Q O = (0.87 \cdot 3.5m \cdot (20m - 200m) \cdot (\sqrt{2 \cdot 9.81 \cdot 200m})) + ((\frac{2}{3}) \cdot 0.87 \cdot 12m \cdot (\sqrt{2 \cdot 9.81}) \cdot (({200m}^{1.5}) - ({19.9m}^{1.5})))

Next Step Prepare to Evaluate

∴

Q O = (0.87 \cdot 3.5 \cdot (20 - 200) \cdot (\sqrt{2 \cdot 9.81 \cdot 200})) + ((\frac{2}{3}) \cdot 0.87 \cdot 12 \cdot (\sqrt{2 \cdot 9.81}) \cdot ((200^{1.5}) - ({19.9}^{1.5})))

Next Step Evaluate

∴

Q O = 50126.6776293348m³/s

LAST Step Rounding Answer

∴

Q O = 50126.6776m³/s

Discharge through partially sub-merged 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

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

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

Difference in Liquid Level

The Difference in liquid level is a variable in discharge through the fully submerged orifice.

Symbol: H_L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Difference in Liquid Level

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 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 large rectangular orifice

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}))

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})

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}

How to Evaluate Discharge through partially sub-merged orifice?

Discharge through partially sub-merged orifice evaluator uses 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))) to evaluate the Discharge through Orifice, The Discharge through partially sub-merged orifice formula is the one that has its outlet side partially submerged under the liquid. It is also known as partially drowned orifice. Discharge through Orifice is denoted by Q_O symbol.

How to evaluate Discharge through partially sub-merged orifice using this online evaluator? To use this online evaluator for Discharge through partially sub-merged orifice, enter Coefficient of Discharge (C_d), Width (w), Height of Liquid Bottom Edge (H_b), Difference in Liquid Level (H_L), Thickness of Dam (b) & Height of Liquid Top Edge (H_top) and hit the calculate button.

FAQs on Discharge through partially sub-merged orifice

What is the formula to find Discharge through partially sub-merged orifice?

The formula of Discharge through partially sub-merged orifice is expressed as 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))). Here is an example- 20.65482 = (0.87*3.5*(20-200)*(sqrt(2*9.81*200)))+((2/3)*0.87*12*(sqrt(2*9.81))*((200^1.5)-(19.9^1.5))).

How to calculate Discharge through partially sub-merged orifice?

With Coefficient of Discharge (C_d), Width (w), Height of Liquid Bottom Edge (H_b), Difference in Liquid Level (H_L), Thickness of Dam (b) & Height of Liquid Top Edge (H_top) we can find Discharge through partially sub-merged orifice using the formula - 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))). 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=(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-Height of Liquid Top Edge)*(sqrt(2*9.81*Difference in Liquid Level))

Can the Discharge through partially sub-merged orifice be negative?

No, the Discharge through partially sub-merged orifice, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge through partially sub-merged orifice?

Discharge through partially sub-merged 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 partially sub-merged orifice can be measured.

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Discharge through partially sub-merged orifice Formula

​GoDischarge through large rectangular orifice Formula

​GoDischarge through fully sub-merged orifice Formula

Discharge through partially sub-merged orifice Example

Discharge through partially sub-merged orifice Solution

Discharge through partially sub-merged orifice Formula Elements

Other Formulas to find Discharge through Orifice

Other formulas in Flow Rate category

How to Evaluate Discharge through partially sub-merged orifice?

FAQs on Discharge through partially sub-merged orifice

Variable Name

GoDischarge through large rectangular orifice Formula

GoDischarge through fully sub-merged orifice Formula