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Discharge for Triangular Weir if Velocity is Considered Formula

GoDischarge for Entire Triangular Weir Formula

GoDischarge for Triangular Weir if Angle is at 90 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 + H V)}^{\frac{5}{2}} - {H V}^{\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?H_V - Velocity Head?

Discharge for Triangular Weir if Velocity is Considered Example

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Here is how the Discharge for Triangular Weir if Velocity is Considered equation looks like with Values.

Here is how the Discharge for Triangular Weir if Velocity is Considered equation looks like with Units.

Here is how the Discharge for Triangular Weir if Velocity is Considered equation looks like.

27.7783 = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{30}{2}) \cdot ({(2 + 4.6)}^{\frac{5}{2}} - {4.6}^{\frac{5}{2}})

27.7783m³/s = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \tan (\frac{30°}{2}) \cdot ({(2m + 4.6m)}^{\frac{5}{2}} - {4.6m}^{\frac{5}{2}})

27.7783 = (\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{30}{2}) \cdot ({(2 + 4.6)}^{\frac{5}{2}} - {4.6}^{\frac{5}{2}})

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Discharge for Triangular Weir if Velocity is Considered Solution

Follow our step by step solution on how to calculate Discharge for Triangular Weir if Velocity is Considered?

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 + H V)}^{\frac{5}{2}} - {H V}^{\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 + 4.6m)}^{\frac{5}{2}} - {4.6m}^{\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 + 4.6m)}^{\frac{5}{2}} - {4.6m}^{\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 + 4.6)}^{\frac{5}{2}} - {4.6}^{\frac{5}{2}})

Next Step Evaluate

∴

Q tri = 27.7782521464878m³/s

LAST Step Rounding Answer

∴

Q tri = 27.7783m³/s

Discharge for Triangular Weir if Velocity is Considered 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

Velocity Head

Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

Symbol: H_V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Velocity Head

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 Entire Triangular Weir

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

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}}

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 Triangular Weir if Velocity is Considered?

Discharge for Triangular Weir if Velocity is Considered 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+Velocity Head)^(5/2)-Velocity Head^(5/2)) to evaluate the Discharge through Triangular Weir, The Discharge for triangular weir if velocity is considered is a measure of the quantity of any fluid flow 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 Triangular Weir if Velocity is Considered using this online evaluator? To use this online evaluator for Discharge for Triangular Weir if Velocity is Considered, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Theta (θ), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) and hit the calculate button.

FAQs on Discharge for Triangular Weir if Velocity is Considered

What is the formula to find Discharge for Triangular Weir if Velocity is Considered?

The formula of Discharge for Triangular Weir if Velocity is Considered 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+Velocity Head)^(5/2)-Velocity Head^(5/2)). Here is an example- 27.77825 = (8/15)*0.66*sqrt(2*9.8)*tan(0.5235987755982/2)*((2+4.6)^(5/2)-4.6^(5/2)).

How to calculate Discharge for Triangular Weir if Velocity is Considered?

With Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Theta (θ), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) we can find Discharge for Triangular Weir if Velocity is Considered 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+Velocity Head)^(5/2)-Velocity Head^(5/2)). This formula also uses Tangent (tan), Square Root (sqrt) 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)*tan(Theta/2)*Height of Water above Crest of Weir^(5/2)
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)

Can the Discharge for Triangular Weir if Velocity is Considered be negative?

Yes, the Discharge for Triangular Weir if Velocity is Considered, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge for Triangular Weir if Velocity is Considered?

Discharge for Triangular Weir if Velocity is Considered 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 Triangular Weir if Velocity is Considered can be measured.

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Discharge for Triangular Weir if Velocity is Considered Formula

​GoDischarge for Entire Triangular Weir Formula

​GoDischarge for Triangular Weir if Angle is at 90 Formula

Discharge for Triangular Weir if Velocity is Considered Example

Discharge for Triangular Weir if Velocity is Considered Solution

Discharge for Triangular Weir if Velocity is Considered Formula Elements

Other Formulas to find Discharge through Triangular Weir

Other formulas in Flow over a Triangular Weir or Notch category

How to Evaluate Discharge for Triangular Weir if Velocity is Considered?

FAQs on Discharge for Triangular Weir if Velocity is Considered

Variable Name

GoDischarge for Entire Triangular Weir Formula

GoDischarge for Triangular Weir if Angle is at 90 Formula