Discharge for Triangular Weir if Velocity is Considered 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%
✖Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.ⓘ Velocity Head [H_V]			+10% -10%

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

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Discharge for Triangular Weir if Velocity is Considered 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+Velocity Head)^(5/2)-Velocity Head^(5/2))
Q_tri = (8/15)*C_d*sqrt(2*g)*tan(θ/2)*((S_w+H_V)^(5/2)-H_V^(5/2))
This formula uses 2 Functions, 6 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.
Velocity Head - (Measured in Meter) - Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

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
Velocity Head: 4.6 Meter --> 4.6 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+H_V)^(5/2)-H_V^(5/2)) --> (8/15)*0.66*sqrt(2*9.8)*tan(0.5235987755982/2)*((2+4.6)^(5/2)-4.6^(5/2))

Evaluating ... ...

Q_tri = 27.7782521464878

STEP 3: Convert Result to Output's Unit

27.7782521464878 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

27.7782521464878 ≈ 27.77825 Cubic Meter per Second <-- Discharge through Triangular Weir

(Calculation completed in 00.020 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 Triangular Weir if Velocity is Considered

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Coorg Institute of Technology (CIT), Coorg

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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 Triangular Weir if Velocity is Considered 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 Triangular Weir if Velocity is Considered?

Discharge for Triangular Weir if Velocity is Considered 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+Velocity Head)^(5/2)-Velocity Head^(5/2)) to calculate 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 calculate Discharge for Triangular Weir if Velocity is Considered using this online calculator? To use this online calculator 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. Here is how the Discharge for Triangular Weir if Velocity is Considered calculation can be explained with given input values -> 27.77825 = (8/15)*0.66*sqrt(2*9.8)*tan(0.5235987755982/2)*((2+4.6)^(5/2)-4.6^(5/2)).

FAQ

What is Discharge for Triangular Weir if Velocity is Considered?

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 and is represented as Q_tri = (8/15)*C_d*sqrt(2*g)*tan(θ/2)*((S_w+H_V)^(5/2)-H_V^(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+Velocity Head)^(5/2)-Velocity Head^(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 & Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

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

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 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+Velocity Head)^(5/2)-Velocity Head^(5/2)). To calculate Discharge for Triangular Weir if Velocity is Considered, you need 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). 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 & Velocity Head 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 & Velocity Head. 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)*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)

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