Coefficient of Discharge given Actual Discharge over Broad Crested Weir Calculator

✖Actual Discharge over Broad Crested Weir is a measure of the actual quantity of any fluid flow over unit time. The quantity may be either volume or mass.ⓘ Actual Discharge over Broad Crested Weir [Q_a]			+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%
✖The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth of Weir [h_c]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+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 Actual Discharge over Broad Crested Weir [C_d]

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Coefficient of Discharge given Actual Discharge over Broad Crested Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
C_d = Q_a/(L_w*h_c*sqrt((2*g)*(H-h_c)))
This formula uses 1 Functions, 6 Variables

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

Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Actual Discharge over Broad Crested Weir - (Measured in Cubic Meter per Second) - Actual Discharge over Broad Crested Weir is a measure of the actual 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.
Critical Depth of Weir - (Measured in Meter) - The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular 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.
Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.

STEP 1: Convert Input(s) to Base Unit

Actual Discharge over Broad Crested Weir: 17.54 Cubic Meter per Second --> 17.54 Cubic Meter per Second No Conversion Required
Length of Weir Crest: 3 Meter --> 3 Meter No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Total Head: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = Q_a/(L_w*h_c*sqrt((2*g)*(H-h_c))) --> 17.54/(3*1.001*sqrt((2*9.8)*(5-1.001)))

Evaluating ... ...

C_d = 0.659736510553575

STEP 3: Convert Result to Output's Unit

0.659736510553575 --> No Conversion Required

FINAL ANSWER

0.659736510553575 ≈ 0.659737 <-- Coefficient of Discharge

(Calculation completed in 00.020 seconds)

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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 given Actual Discharge over Broad Crested Weir Formula

LaTeX Go

What is meant by Coefficient of Discharge?

Coefficient of Discharge given Actual Discharge over Broad Crested Weir is stated as ratio between actual flow discharge and theoretical flow discharge.

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 given Actual Discharge over Broad Crested Weir?

Coefficient of Discharge given Actual Discharge over Broad Crested Weir calculator uses 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))) to calculate the Coefficient of Discharge, Coefficient of Discharge given Actual Discharge over Broad Crested Weir is defined as the actual discharge over a broad crested weir to the theoretically expected discharge. It accounts for losses due to friction and other factors, and is used to calibrate the flow measurement accuracy of the weir. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge given Actual Discharge over Broad Crested Weir using this online calculator? To use this online calculator for Coefficient of Discharge given Actual Discharge over Broad Crested Weir, enter Actual Discharge over Broad Crested Weir (Q_a), Length of Weir Crest (L_w), Critical Depth of Weir (h_c), Acceleration due to Gravity (g) & Total Head (H) and hit the calculate button. Here is how the Coefficient of Discharge given Actual Discharge over Broad Crested Weir calculation can be explained with given input values -> 0.477688 = 17.54/(3*1.001*sqrt((2*9.8)*(5-1.001))).

FAQ

What is Coefficient of Discharge given Actual Discharge over Broad Crested Weir?

Coefficient of Discharge given Actual Discharge over Broad Crested Weir is defined as the actual discharge over a broad crested weir to the theoretically expected discharge. It accounts for losses due to friction and other factors, and is used to calibrate the flow measurement accuracy of the weir and is represented as C_d = Q_a/(L_w*h_c*sqrt((2*g)*(H-h_c))) or 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))). Actual Discharge over Broad Crested Weir is a measure of the actual 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, The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Total Head is the combination of weir crested and additional head.

How to calculate Coefficient of Discharge given Actual Discharge over Broad Crested Weir?

Coefficient of Discharge given Actual Discharge over Broad Crested Weir is defined as the actual discharge over a broad crested weir to the theoretically expected discharge. It accounts for losses due to friction and other factors, and is used to calibrate the flow measurement accuracy of the weir is calculated using 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))). To calculate Coefficient of Discharge given Actual Discharge over Broad Crested Weir, you need Actual Discharge over Broad Crested Weir (Q_a), Length of Weir Crest (L_w), Critical Depth of Weir (h_c), Acceleration due to Gravity (g) & Total Head (H). With our tool, you need to enter the respective value for Actual Discharge over Broad Crested Weir, Length of Weir Crest, Critical Depth of Weir, Acceleration due to Gravity & 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 Actual Discharge over Broad Crested Weir, Length of Weir Crest, Critical Depth of Weir, Acceleration due to Gravity & Total Head. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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