Discharge for Entire Triangular Weir Calculator

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖Height of Water above Crest of Weir is defined as the water surface height above crest.ⓘ Height of Water above Crest of Weir [S_w]			+10% -10%

✖Discharge through Triangular Weir is discharge calculated considering the channel as triangular.ⓘ Discharge for Entire Triangular Weir [Q_tri]

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Discharge for Entire Triangular Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_tri = (8/15)*C_d*sqrt(2*g)*tan(θ/2)*S_w^(5/2)
This formula uses 2 Functions, 5 Variables

Functions Used

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., 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., sqrt(Number)

Variables Used

Discharge through Triangular Weir - (Measured in Cubic Meter per Second) - Discharge through Triangular Weir is discharge calculated considering the channel as triangular.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Height of Water above Crest of Weir - (Measured in Meter) - Height of Water above Crest of Weir is defined as the water surface height above crest.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.66 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_tri = (8/15)*C_d*sqrt(2*g)*tan(θ/2)*S_w^(5/2) --> (8/15)*0.66*sqrt(2*9.8)*tan(0.5235987755982/2)*2^(5/2)

Evaluating ... ...

Q_tri = 2.36209924490175

STEP 3: Convert Result to Output's Unit

2.36209924490175 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2.36209924490175 ≈ 2.362099 Cubic Meter per Second <-- Discharge through Triangular Weir

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Flow Over a Trapizoidal and Triangular Weir or Notch » Flow over a Triangular Weir or Notch » Discharge for Entire Triangular Weir

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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< Flow over a Triangular Weir or Notch Calculators

Head for Discharge for Entire Triangular Weir

LaTeX Go Height of Water above Crest of Weir = (Discharge through Triangular Weir/((8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)))^(2/5)

Discharge for Entire Triangular Weir

LaTeX Go 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)

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

LaTeX Go Coefficient of Discharge = Discharge through Triangular Weir/((8/15)*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(5/2))

Discharge for Triangular Weir if Angle is at 90

LaTeX Go 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 for Entire Triangular Weir Formula

LaTeX Go

What is Coefficient of Discharge?

Discharge Coefficient is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge.

What is triangular weir?

Triangular weirs are sharp crested thin plates with V-shaped opening (or notch). These plates are installed at the exit of a channel, tank, or basin in order to measure the real-time flow of water. A typical application for these plates consists in measuring the flow of water on the downstream side of a dam.

How to Calculate Discharge for Entire Triangular Weir?

Discharge for Entire Triangular Weir calculator 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 calculate 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 calculate Discharge for Entire Triangular Weir using this online calculator? To use this online calculator 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. Here is how the Discharge for Entire Triangular Weir calculation can be explained with given input values -> 2.362099 = (8/15)*0.66*sqrt(2*9.8)*tan(0.5235987755982/2)*2^(5/2).

FAQ

What is Discharge for Entire 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 and is represented as Q_tri = (8/15)*C_d*sqrt(2*g)*tan(θ/2)*S_w^(5/2) or 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). The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Height of Water above Crest of Weir is defined as the water surface height above crest.

How to calculate Discharge for Entire 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 is calculated using 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 calculate Discharge for Entire Triangular Weir, you need Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Theta (θ) & Height of Water above Crest of Weir (S_w). With our tool, you need to enter the respective value for Coefficient of Discharge, Acceleration due to Gravity, Theta & Height of Water above Crest of Weir and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge through Triangular Weir?

In this formula, Discharge through Triangular Weir uses Coefficient of Discharge, Acceleration due to Gravity, Theta & Height of Water above Crest of Weir. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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