Discharge over Broad-Crested Weir with Velocity of Approach 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 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 Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.ⓘ Head Due to Velocity of Approach [h_a]			+10% -10%

✖Discharge Weir is the rate of flow of a liquid.ⓘ Discharge over Broad-Crested Weir with Velocity of Approach [Q]

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Discharge over Broad-Crested Weir with Velocity of Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))
Q = 1.705*C_d*L_w*((H+h_a)^(3/2)-h_a^(3/2))
This formula uses 5 Variables

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 - (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.
Head Due to Velocity of Approach - (Measured in Meter) - The Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.

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: 10 Meter --> 10 Meter No Conversion Required
Head Due to Velocity of Approach: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = 1.705*C_d*L_w*((H+h_a)^(3/2)-h_a^(3/2)) --> 1.705*0.8*25*((10+1.2)^(3/2)-1.2^(3/2))

Evaluating ... ...

Q = 1233.32317522935

STEP 3: Convert Result to Output's Unit

1233.32317522935 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1233.32317522935 ≈ 1233.323 Cubic Meter per Second <-- Discharge Weir

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Mechanical » Discharge » Discharge over Broad-Crested Weir with Velocity of Approach

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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 with Velocity of Approach Formula

LaTeX Go

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 is velocity of approach?

The velocity of approach or separation is defined as the rate of change of relative displacement between two bodies. The velocity of approach is defined when the displacement between the bodies is decreasing and separation when the displacement between the bodies is increasing.

How to Calculate Discharge over Broad-Crested Weir with Velocity of Approach?

Discharge over Broad-Crested Weir with Velocity of Approach calculator uses Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2)) to calculate the Discharge Weir, Discharge Over Broad-Crested Weir with Velocity of Approach the flow rate is determined by considering the velocity of approach of the water as it approaches the weir. Discharge Weir is denoted by Q symbol.

How to calculate Discharge over Broad-Crested Weir with Velocity of Approach using this online calculator? To use this online calculator for Discharge over Broad-Crested Weir with Velocity of Approach, enter Coefficient of Discharge (C_d), Length of Weir (L_w), Head of Liquid (H) & Head Due to Velocity of Approach (h_a) and hit the calculate button. Here is how the Discharge over Broad-Crested Weir with Velocity of Approach calculation can be explained with given input values -> 1233.323 = 1.705*0.8*25*((10+1.2)^(3/2)-1.2^(3/2)).

FAQ

What is Discharge over Broad-Crested Weir with Velocity of Approach?

Discharge Over Broad-Crested Weir with Velocity of Approach the flow rate is determined by considering the velocity of approach of the water as it approaches the weir and is represented as Q = 1.705*C_d*L_w*((H+h_a)^(3/2)-h_a^(3/2)) or Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2)). 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 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 Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.

How to calculate Discharge over Broad-Crested Weir with Velocity of Approach?

Discharge Over Broad-Crested Weir with Velocity of Approach the flow rate is determined by considering the velocity of approach of the water as it approaches the weir is calculated using Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2)). To calculate Discharge over Broad-Crested Weir with Velocity of Approach, you need Coefficient of Discharge (C_d), Length of Weir (L_w), Head of Liquid (H) & Head Due to Velocity of Approach (h_a). With our tool, you need to enter the respective value for Coefficient of Discharge, Length of Weir, Head of Liquid & Head Due to Velocity of Approach 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 & Head Due to Velocity of Approach. 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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