Discharge over Trapezoidal Notch or Weir Calculator

✖The Coefficient of Discharge Rectangular portion is considered in discharge through the trapezoidal notch.ⓘ Coefficient of Discharge Rectangular [C_d1]			+10% -10%
✖The Length of Weir is the of the base of weir through which discharge is taking place.ⓘ Length of Weir [L_w]			+10% -10%
✖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.ⓘ Head of Liquid [H]			+10% -10%
✖The Coefficient of Discharge Triangular portion is considered in discharge through the trapezoidal notch.ⓘ Coefficient of Discharge Triangular [C_d2]			+10% -10%
✖The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]			+10% -10%

✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Discharge over Trapezoidal Notch or Weir [Q_th]

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Discharge over Trapezoidal Notch or Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_th = 2/3*C_d1*L_w*sqrt(2*[g])*H^(3/2)+8/15*C_d2*tan(∠A/2)*sqrt(2*[g])*H^(5/2)
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.
Coefficient of Discharge Rectangular - The Coefficient of Discharge Rectangular portion is considered in discharge through the trapezoidal notch.
Length of Weir - (Measured in Meter) - The Length of Weir is the of the base of weir through which discharge is taking place.
Head of Liquid - (Measured in Meter) - 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.
Coefficient of Discharge Triangular - The Coefficient of Discharge Triangular portion is considered in discharge through the trapezoidal notch.
Angle A - (Measured in Radian) - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge Rectangular: 0.63 --> No Conversion Required
Length of Weir: 25 Meter --> 25 Meter No Conversion Required
Head of Liquid: 10 Meter --> 10 Meter No Conversion Required
Coefficient of Discharge Triangular: 0.65 --> No Conversion Required
Angle A: 142 Degree --> 2.47836753783148 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_th = 2/3*C_d1*L_w*sqrt(2*[g])*H^(3/2)+8/15*C_d2*tan(∠A/2)*sqrt(2*[g])*H^(5/2) --> 2/3*0.63*25*sqrt(2*[g])*10^(3/2)+8/15*0.65*tan(2.47836753783148/2)*sqrt(2*[g])*10^(5/2)

Evaluating ... ...

Q_th = 2880.48715700787

STEP 3: Convert Result to Output's Unit

2880.48715700787 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2880.48715700787 ≈ 2880.487 Cubic Meter per Second <-- Theoretical Discharge

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Mechanical » Discharge » Discharge over Trapezoidal Notch or Weir

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< Discharge Calculators

Time Required to Empty Reservoir

LaTeX Go Total Time Taken = ((3*Area of Weir)/(Coefficient of Discharge*Length of Weir*sqrt(2*[g])))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))

Time Required to Empty Tank with Triangular Weir or Notch

LaTeX Go Total Time Taken = ((5*Area of Weir)/(4*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))*(1/(Final Height of Liquid^(3/2))-1/(Initial Height of Liquid^(3/2)))

Head of Liquid above V-notch

LaTeX Go Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4

Head of Liquid at Crest

LaTeX Go Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)

Discharge over Trapezoidal Notch or Weir Formula

LaTeX Go

What is a notch?

A Notch is a device used for measuring the rate of flow of a liquid through a small channel or a tank. It may be defined as an opening in the side of a tank or vessel such as liquid surface in the tank is below the level of opening.

What is a trapezoidal notch or weir?

A trapezoidal notch is a combination of a rectangular notch and two triangular notches. It is, thus obvious that the discharge over such a notch will be the sum of the discharge over the rectangular and triangular notches.

How to Calculate Discharge over Trapezoidal Notch or Weir?

Discharge over Trapezoidal Notch or Weir calculator uses 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) to calculate the Theoretical Discharge, The Discharge over trapezoidal notch or weir formula is known by considering or combination of both the discharges through the rectangular and triangular notch or weir. Theoretical Discharge is denoted by Q_th symbol.

How to calculate Discharge over Trapezoidal Notch or Weir using this online calculator? To use this online calculator for Discharge over Trapezoidal Notch or Weir, enter Coefficient of Discharge Rectangular (C_d1), Length of Weir (L_w), Head of Liquid (H), Coefficient of Discharge Triangular (C_d2) & Angle A (∠A) and hit the calculate button. Here is how the Discharge over Trapezoidal Notch or Weir calculation can be explained with given input values -> 2880.487 = 2/3*0.63*25*sqrt(2*[g])*10^(3/2)+8/15*0.65*tan(2.47836753783148/2)*sqrt(2*[g])*10^(5/2).

FAQ

What is Discharge over Trapezoidal Notch or Weir?

The Discharge over trapezoidal notch or weir formula is known by considering or combination of both the discharges through the rectangular and triangular notch or weir and is represented as Q_th = 2/3*C_d1*L_w*sqrt(2*[g])*H^(3/2)+8/15*C_d2*tan(∠A/2)*sqrt(2*[g])*H^(5/2) or 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). The Coefficient of Discharge Rectangular portion is considered in discharge through the trapezoidal notch, The Length of Weir is the of the base of weir through which discharge is taking place, 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, The Coefficient of Discharge Triangular portion is considered in discharge through the trapezoidal notch & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Discharge over Trapezoidal Notch or Weir?

The Discharge over trapezoidal notch or weir formula is known by considering or combination of both the discharges through the rectangular and triangular notch or weir is calculated using 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). To calculate Discharge over Trapezoidal Notch or Weir, you need Coefficient of Discharge Rectangular (C_d1), Length of Weir (L_w), Head of Liquid (H), Coefficient of Discharge Triangular (C_d2) & Angle A (∠A). With our tool, you need to enter the respective value for Coefficient of Discharge Rectangular, Length of Weir, Head of Liquid, Coefficient of Discharge Triangular & Angle A 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 Theoretical Discharge?

In this formula, Theoretical Discharge uses Coefficient of Discharge Rectangular, Length of Weir, Head of Liquid, Coefficient of Discharge Triangular & Angle A. We can use 2 other way(s) to calculate the same, which is/are as follows -

Theoretical Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

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