Coefficient of Discharge for Max Discharge over Crested Weir Calculator

✖Max Discharge Over Broad Crested Weir is max discharge of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.ⓘ Max Discharge Over Broad Crested Weir [Q_W(max)]			+10% -10%
✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Weir Crest [L_w]			+10% -10%
✖Total Head is the combination of weir crested and additional head.ⓘ Total Head [H]			+10% -10%

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge for Max Discharge over Crested Weir [C_d]

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Coefficient of Discharge for Max Discharge over Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
C_d = Q_W(max)/(1.70*L_w*(H)^(3/2))
This formula uses 4 Variables

Variables Used

Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Max Discharge Over Broad Crested Weir - (Measured in Cubic Meter per Second) - Max Discharge Over Broad Crested Weir is max discharge of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.
Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.

STEP 1: Convert Input(s) to Base Unit

Max Discharge Over Broad Crested Weir: 37.6 Cubic Meter per Second --> 37.6 Cubic Meter per Second No Conversion Required
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Total Head: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = Q_W(max)/(1.70*L_w*(H)^(3/2)) --> 37.6/(1.70*3*(5)^(3/2))

Evaluating ... ...

C_d = 0.659420831011703

STEP 3: Convert Result to Output's Unit

0.659420831011703 --> No Conversion Required

FINAL ANSWER

0.659420831011703 ≈ 0.659421 <-- Coefficient of Discharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Broad Crested Weir » Coefficient of Discharge for Max Discharge over Crested Weir

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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< Broad Crested Weir Calculators

Discharge over Broad Crested Weir

LaTeX Go Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))

Velocity of Flow given Head

LaTeX Go Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))

Critical Depth due to Reduction in Area of Flow Section given Total Head

LaTeX Go Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))

Total Head above Weir Crest

LaTeX Go Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))

Coefficient of Discharge for Max Discharge over Crested Weir Formula

LaTeX Go

Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
C_d = Q_W(max)/(1.70*L_w*(H)^(3/2))

What does Discharge mean?

A discharge is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

What is a 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. The broad crested weir is one which the water flow discharge in measured from large water bodies like big canals while the sharp crested weir will help in measuring the discharge of the water from the small rivers and canals and the weir is placed in the direction of the flow of water.

How to Calculate Coefficient of Discharge for Max Discharge over Crested Weir?

Coefficient of Discharge for Max Discharge over Crested Weir calculator uses Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)) to calculate the Coefficient of Discharge, Coefficient of Discharge for Max Discharge over Crested Weir is defined as the ratio of the actual flow rate through the weir to the theoretical flow rate based on the head of water above the weir. It accounts for various factors such as weir shape, surface roughness, and approach flow conditions. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge for Max Discharge over Crested Weir using this online calculator? To use this online calculator for Coefficient of Discharge for Max Discharge over Crested Weir, enter Max Discharge Over Broad Crested Weir (Q_W(max)), Length of Weir Crest (L_w) & Total Head (H) and hit the calculate button. Here is how the Coefficient of Discharge for Max Discharge over Crested Weir calculation can be explained with given input values -> 0.480535 = 37.6/(1.70*3*(5)^(3/2)).

FAQ

What is Coefficient of Discharge for Max Discharge over Crested Weir?

Coefficient of Discharge for Max Discharge over Crested Weir is defined as the ratio of the actual flow rate through the weir to the theoretical flow rate based on the head of water above the weir. It accounts for various factors such as weir shape, surface roughness, and approach flow conditions and is represented as C_d = Q_W(max)/(1.70*L_w*(H)^(3/2)) or Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)). Max Discharge Over Broad Crested Weir is max discharge of the quantity of any fluid flow over unit time. The quantity may be either volume or mass, Length of Weir Crest is the measurement or extent of Weir Crest from end to end & Total Head is the combination of weir crested and additional head.

How to calculate Coefficient of Discharge for Max Discharge over Crested Weir?

Coefficient of Discharge for Max Discharge over Crested Weir is defined as the ratio of the actual flow rate through the weir to the theoretical flow rate based on the head of water above the weir. It accounts for various factors such as weir shape, surface roughness, and approach flow conditions is calculated using Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)). To calculate Coefficient of Discharge for Max Discharge over Crested Weir, you need Max Discharge Over Broad Crested Weir (Q_W(max)), Length of Weir Crest (L_w) & Total Head (H). With our tool, you need to enter the respective value for Max Discharge Over Broad Crested Weir, Length of Weir Crest & Total 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 Coefficient of Discharge?

In this formula, Coefficient of Discharge uses Max Discharge Over Broad Crested Weir, Length of Weir Crest & Total Head. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Discharge = Actual Discharge over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))

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