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Discharge for Entire Triangular Weir Formula

GoDischarge for Triangular Weir if Angle is at 90 Formula

GoDischarge for Triangular Weir if Coefficient Discharge is Constant Formula

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Discharge through Triangular Weir is discharge calculated considering the channel as triangular. Check FAQs

Q tri = (\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2}) \cdot {S w}^{\frac{5}{2}}

Q_tri - Discharge through Triangular Weir?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?θ - Theta?S_w - Height of Water above Crest of Weir?

Discharge for Entire Triangular Weir Example

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Here is how the Discharge for Entire Triangular Weir equation looks like with Values.

Here is how the Discharge for Entire Triangular Weir equation looks like with Units.

Here is how the Discharge for Entire Triangular Weir equation looks like.

2.3621 = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{30}{2}) \cdot 2^{\frac{5}{2}}

2.3621m³/s = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \tan (\frac{30°}{2}) \cdot {2m}^{\frac{5}{2}}

2.3621 = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{30}{2}) \cdot 2^{\frac{5}{2}}

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Discharge for Entire Triangular Weir Solution

Follow our step by step solution on how to calculate Discharge for Entire Triangular Weir?

FIRST Step Consider the formula

Q tri = (\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2}) \cdot {S w}^{\frac{5}{2}}

Next Step Substitute values of Variables

∴

Q tri = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \tan (\frac{30°}{2}) \cdot {2m}^{\frac{5}{2}}

Next Step Convert Units

∴

Q tri = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \tan (\frac{0.5236rad}{2}) \cdot {2m}^{\frac{5}{2}}

Next Step Prepare to Evaluate

∴

Q tri = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{0.5236}{2}) \cdot 2^{\frac{5}{2}}

Next Step Evaluate

∴

Q tri = 2.36209924490175m³/s

LAST Step Rounding Answer

∴

Q tri = 2.3621m³/s

Discharge for Entire Triangular Weir Formula Elements

Variables

Functions

Discharge through Triangular Weir

Discharge through Triangular Weir is discharge calculated considering the channel as triangular.

Symbol: Q_tri

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Triangular Weir

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Height of Water above Crest of Weir

Height of Water above Crest of Weir is defined as the water surface height above crest.

Symbol: S_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Water above Crest of Weir

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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 Triangular Weir

Go Discharge for Triangular Weir if Angle is at 90

Q tri = (\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot {S w}^{\frac{3}{2}}

Go Discharge for Triangular Weir if Coefficient Discharge is Constant

Q tri = 1.418 \cdot {S w}^{\frac{5}{2}}

Go Discharge for Triangular Weir if Velocity is Considered

Q tri = (\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2}) \cdot ({(S w + H V)}^{\frac{5}{2}} - {H V}^{\frac{5}{2}})

Other formulas in Flow over a Triangular Weir or Notch category

Go Head for Discharge for Entire Triangular Weir

S w = {(\frac{Q tri}{(\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2})})}^{\frac{2}{5}}

Go Coefficient of Discharge when Discharge for Triangular Weir when Angle is 90

C d = \frac{Q tri}{(\frac{8}{15}) \cdot \sqrt{2 \cdot g} \cdot {S w}^{\frac{5}{2}}}

Go Head when Discharge for Triangular Weir Angle is 90

S w = \frac{Q tri}{{((\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g})}^{\frac{2}{5}}}

Go Head when Coefficient Discharge is Constant

S w = {(\frac{Q tri}{1.418})}^{\frac{2}{5}}

How to Evaluate Discharge for Entire Triangular Weir?

Discharge for Entire Triangular Weir evaluator uses Discharge through Triangular Weir = (8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)*Height of Water above Crest of Weir^(5/2) to evaluate the Discharge through Triangular Weir, The Discharge for entire triangular weir is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass. Discharge through Triangular Weir is denoted by Q_tri symbol.

How to evaluate Discharge for Entire Triangular Weir using this online evaluator? To use this online evaluator for Discharge for Entire Triangular Weir, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Theta (θ) & Height of Water above Crest of Weir (S_w) and hit the calculate button.

FAQs on Discharge for Entire Triangular Weir

What is the formula to find Discharge for Entire Triangular Weir?

The formula of Discharge for Entire Triangular Weir is expressed as Discharge through Triangular Weir = (8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)*Height of Water above Crest of Weir^(5/2). Here is an example- 2.362099 = (8/15)*0.66*sqrt(2*9.8)*tan(0.5235987755982/2)*2^(5/2).

How to calculate Discharge for Entire Triangular Weir?

With Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Theta (θ) & Height of Water above Crest of Weir (S_w) we can find Discharge for Entire Triangular Weir using the formula - Discharge through Triangular Weir = (8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)*Height of Water above Crest of Weir^(5/2). This formula also uses Tangent, Square Root Function function(s).

What are the other ways to Calculate Discharge through Triangular Weir?

Here are the different ways to Calculate Discharge through Triangular Weir-

Discharge through Triangular Weir=(8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2)
Discharge through Triangular Weir=1.418*Height of Water above Crest of Weir^(5/2)
Discharge through Triangular Weir=(8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)*((Height of Water above Crest of Weir+Velocity Head)^(5/2)-Velocity Head^(5/2))

Can the Discharge for Entire Triangular Weir be negative?

Yes, the Discharge for Entire Triangular Weir, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge for Entire Triangular Weir?

Discharge for Entire Triangular Weir 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 for Entire Triangular Weir can be measured.

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