Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant Calculator

✖Discharge Over Broad Crested Weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.ⓘ Discharge Over Broad Crested Weir [Q_w]			+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 given Discharge of Weir if Critical Depth is Constant [C_d]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Broad Crested Weir Formulas PDF PDF Image

Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
C_d = Q_w/(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.
Discharge Over Broad Crested Weir - (Measured in Cubic Meter per Second) - Discharge Over Broad Crested Weir is a measure 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

Discharge Over Broad Crested Weir: 26.6 Cubic Meter per Second --> 26.6 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/(1.70*L_w*(H)^(3/2)) --> 26.6/(1.70*3*(5)^(3/2))

Evaluating ... ...

C_d = 0.466505162364662

STEP 3: Convert Result to Output's Unit

0.466505162364662 --> No Conversion Required

FINAL ANSWER

0.466505162364662 ≈ 0.466505 <-- Coefficient of Discharge

(Calculation completed in 00.006 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Broad Crested Weir » Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 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 given Discharge of Weir if Critical Depth is Constant Formula

LaTeX Go

Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
C_d = Q_w/(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 Weir?

A weir or low head dam is a barrier across the width of a river that alters the flow characteristics of water and usually results in a change in the height of the river level. They are also used to control the flow of water for outlets of lakes, ponds, and reservoirs.

How to Calculate Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant?

Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant calculator uses Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)) to calculate the Coefficient of Discharge, Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant is defined as ratio between actual flow discharge and theoretical flow discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant using this online calculator? To use this online calculator for Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant, enter Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Total Head (H) and hit the calculate button. Here is how the Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant calculation can be explained with given input values -> 0.466505 = 26.6/(1.70*3*(5)^(3/2)).

FAQ

What is Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant?

Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant is defined as ratio between actual flow discharge and theoretical flow discharge and is represented as C_d = Q_w/(1.70*L_w*(H)^(3/2)) or Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)). Discharge Over Broad Crested Weir is a measure 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 given Discharge of Weir if Critical Depth is Constant?

Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant is defined as ratio between actual flow discharge and theoretical flow discharge is calculated using Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2)). To calculate Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant, you need Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Total Head (H). With our tool, you need to enter the respective value for 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 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 = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))

Home

FREE PDFs

🔍 Search