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The Theoretical Discharge is given by the theoretical area and velocity. Check FAQs
Qth=815Cdtan(∠A2)2[g]H52
Qth - Theoretical Discharge?Cd - Coefficient of Discharge?∠A - Angle A?H - Head of Liquid?[g] - Gravitational acceleration on Earth?

Discharge over Triangular Notch or Weir Example

With values
With units
Only example

Here is how the Discharge over Triangular Notch or Weir equation looks like with Values.

Here is how the Discharge over Triangular Notch or Weir equation looks like with Units.

Here is how the Discharge over Triangular Notch or Weir equation looks like.

1735.3705Edit=8150.8Edittan(142Edit2)29.806610Edit52
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Discharge over Triangular Notch or Weir Solution

Follow our step by step solution on how to calculate Discharge over Triangular Notch or Weir?

FIRST Step Consider the formula
Qth=815Cdtan(∠A2)2[g]H52
Next Step Substitute values of Variables
Qth=8150.8tan(142°2)2[g]10m52
Next Step Substitute values of Constants
Qth=8150.8tan(142°2)29.8066m/s²10m52
Next Step Convert Units
Qth=8150.8tan(2.4784rad2)29.8066m/s²10m52
Next Step Prepare to Evaluate
Qth=8150.8tan(2.47842)29.80661052
Next Step Evaluate
Qth=1735.37045118591m³/s
LAST Step Rounding Answer
Qth=1735.3705m³/s

Discharge over Triangular Notch or Weir Formula Elements

Variables
Constants
Functions
Theoretical Discharge
The Theoretical Discharge is given by the theoretical area and velocity.
Symbol: Qth
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Coefficient of Discharge
The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Symbol: Cd
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Angle A
The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
Symbol: ∠A
Measurement: AngleUnit: °
Note: Value can be positive or negative.
Head of Liquid
The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
Symbol: H
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Gravitational acceleration on Earth
Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.
Symbol: [g]
Value: 9.80665 m/s²
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 Theoretical Discharge

​Go Discharge over Rectangle Notch or Weir
Qth=23CdLw2[g]H32
​Go Discharge over Trapezoidal Notch or Weir
Qth=23Cd1Lw2[g]H32+815Cd2tan(∠A2)2[g]H52

Other formulas in Discharge category

​Go Head of Liquid at Crest
H=(Qth23CdLw2[g])23
​Go Head of Liquid above V-notch
H=(Qth815Cdtan(∠A2)2[g])0.4
​Go Time Required to Empty Reservoir
ta=(3ACdLw2[g])(1Hf-1Hi)
​Go Time Required to Empty Tank with Triangular Weir or Notch
ta=(5A4Cdtan(∠A2)2[g])(1Hf32-1Hi32)

How to Evaluate Discharge over Triangular Notch or Weir?

Discharge over Triangular Notch or Weir evaluator uses Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2) to evaluate the Theoretical Discharge, The Discharge over triangular notch or weir formula is known from the relation considering the coefficient of discharge, head of the liquid, and angle of the notch. Theoretical Discharge is denoted by Qth symbol.

How to evaluate Discharge over Triangular Notch or Weir using this online evaluator? To use this online evaluator for Discharge over Triangular Notch or Weir, enter Coefficient of Discharge (Cd), Angle A (∠A) & Head of Liquid (H) and hit the calculate button.

FAQs on Discharge over Triangular Notch or Weir

What is the formula to find Discharge over Triangular Notch or Weir?
The formula of Discharge over Triangular Notch or Weir is expressed as Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2). Here is an example- 1735.37 = 8/15*0.8*tan(2.47836753783148/2)*sqrt(2*[g])*10^(5/2).
How to calculate Discharge over Triangular Notch or Weir?
With Coefficient of Discharge (Cd), Angle A (∠A) & Head of Liquid (H) we can find Discharge over Triangular Notch or Weir using the formula - Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2). This formula also uses Gravitational acceleration on Earth constant(s) and , Tangent (tan), Square Root (sqrt) function(s).
What are the other ways to Calculate Theoretical Discharge?
Here are the different ways to Calculate Theoretical Discharge-
  • Theoretical Discharge=2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)OpenImg
  • Theoretical Discharge=2/3*Coefficient of Discharge Rectangular*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)+8/15*Coefficient of Discharge Triangular*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)OpenImg
Can the Discharge over Triangular Notch or Weir be negative?
No, the Discharge over Triangular Notch or Weir, measured in Volumetric Flow Rate cannot be negative.
Which unit is used to measure Discharge over Triangular Notch or Weir?
Discharge over Triangular Notch or 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 over Triangular Notch or Weir can be measured.
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