Discharge over Broad-Crested Weir for Head of Liquid at Middle Calculator

✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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 Middle of weir which is a constant is considered in the broad-crested weir.ⓘ Head of Liquid Middle [h]			+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%

✖Discharge Weir is the rate of flow of a liquid.ⓘ Discharge over Broad-Crested Weir for Head of Liquid at Middle [Q]

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Discharge over Broad-Crested Weir for Head of Liquid at Middle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3))
Q = C_d*L_w*sqrt(2*[g]*(h^2*H-h^3))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

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

Functions Used

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 Weir - (Measured in Cubic Meter per Second) - Discharge Weir is the rate of flow of a liquid.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
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 Middle - (Measured in Meter) - The Head of Liquid Middle of weir which is a constant is considered in the broad-crested weir.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.8 --> No Conversion Required
Length of Weir: 25 Meter --> 25 Meter No Conversion Required
Head of Liquid Middle: 9 Meter --> 9 Meter No Conversion Required
Head of Liquid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = C_d*L_w*sqrt(2*[g]*(h^2*H-h^3)) --> 0.8*25*sqrt(2*[g]*(9^2*10-9^3))

Evaluating ... ...

Q = 797.164299250788

STEP 3: Convert Result to Output's Unit

797.164299250788 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

797.164299250788 ≈ 797.1643 Cubic Meter per Second <-- Discharge Weir

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Mechanical » Discharge » Discharge over Broad-Crested Weir for Head of Liquid at Middle

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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 Broad-Crested Weir for Head of Liquid at Middle Formula

LaTeX Go

Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3))
Q = C_d*L_w*sqrt(2*[g]*(h^2*H-h^3))

What is broad-crested weir?

Broad crested weirs are robust structures that are generally constructed from reinforced concrete and which usually span the full width of the channel. They are used to measure the discharge of rivers and are much more suited for this purpose than the relatively flimsy sharp-crested weirs.

What are the types of weirs based on shape of the crest?

It is of four types they are, sharp-crested weir, broad- crested weir, narrow-crested weir, and ogee-shaped weir.

How to Calculate Discharge over Broad-Crested Weir for Head of Liquid at Middle?

Discharge over Broad-Crested Weir for Head of Liquid at Middle calculator uses Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3)) to calculate the Discharge Weir, Discharge over Broad-Crested Weir for Head of Liquid at Middle is determined by the geometry of the weir and the head of water above the weir crest. The broad-crested weir is a type of flow control structure commonly used in open channel hydraulics. Discharge Weir is denoted by Q symbol.

How to calculate Discharge over Broad-Crested Weir for Head of Liquid at Middle using this online calculator? To use this online calculator for Discharge over Broad-Crested Weir for Head of Liquid at Middle, enter Coefficient of Discharge (C_d), Length of Weir (L_w), Head of Liquid Middle (h) & Head of Liquid (H) and hit the calculate button. Here is how the Discharge over Broad-Crested Weir for Head of Liquid at Middle calculation can be explained with given input values -> 797.1643 = 0.8*25*sqrt(2*[g]*(9^2*10-9^3)).

FAQ

What is Discharge over Broad-Crested Weir for Head of Liquid at Middle?

Discharge over Broad-Crested Weir for Head of Liquid at Middle is determined by the geometry of the weir and the head of water above the weir crest. The broad-crested weir is a type of flow control structure commonly used in open channel hydraulics and is represented as Q = C_d*L_w*sqrt(2*[g]*(h^2*H-h^3)) or Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3)). The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, The Length of Weir is the of the base of weir through which discharge is taking place, The Head of Liquid Middle of weir which is a constant is considered in the broad-crested weir & 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.

How to calculate Discharge over Broad-Crested Weir for Head of Liquid at Middle?

Discharge over Broad-Crested Weir for Head of Liquid at Middle is determined by the geometry of the weir and the head of water above the weir crest. The broad-crested weir is a type of flow control structure commonly used in open channel hydraulics is calculated using Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3)). To calculate Discharge over Broad-Crested Weir for Head of Liquid at Middle, you need Coefficient of Discharge (C_d), Length of Weir (L_w), Head of Liquid Middle (h) & Head of Liquid (H). With our tool, you need to enter the respective value for Coefficient of Discharge, Length of Weir, Head of Liquid Middle & Head of Liquid 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 Weir?

In this formula, Discharge Weir uses Coefficient of Discharge, Length of Weir, Head of Liquid Middle & Head of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge Weir = (0.405+0.003/(Head of Liquid+Head Due to Velocity of Approach))*Length of Weir*sqrt(2*[g])*(Head of Liquid+Head Due to Velocity of Approach)^(3/2)
Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)

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