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*Cd*Lweir*((H+ha)^(3/2)-ha^(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: 1.21 Meter --> 1.21 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*Cd*Lweir*((H+ha)^(3/2)-ha^(3/2)) --> 1.705*0.8*1.21*((10+1.2)^(3/2)-1.2^(3/2))
Evaluating ... ...
Q = 59.6928416811007
STEP 3: Convert Result to Output's Unit
59.6928416811007 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
59.6928416811007 59.69284 Cubic Meter per Second <-- Discharge Weir
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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17 Discharge Calculators

Discharge over Trapezoidal Notch or Weir
Go Theoretical Discharge = 2/3*Coefficient of Discharge Rectangular*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)+8/15*Coefficient of Discharge Triangular*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)
Time Required to Empty Reservoir
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))
Coefficient of Discharge for Time Required to Empty Reservoir
Go Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*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
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)))
Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach
Go 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 with Velocity of Approach
Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))
Discharge over Broad-Crested Weir for Head of Liquid at Middle
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))
Discharge over Broad-Crested Weir with Velocity of Approach
Go 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))
Discharge over Rectangle Weir with Two End Contractions
Go Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)
Head of Liquid above V-notch
Go Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4
Discharge over Triangular Notch or Weir
Go Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)
Head of Liquid at Crest
Go Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)
Discharge over Rectangle Notch or Weir
Go Theoretical Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge without Velocity of Approach
Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Initial Height of Liquid^(3/2)
Discharge over Rectangle Weir Considering Bazin's formula
Go Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge over Rectangle Weir Considering Francis's formula
Go Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))
Discharge over Broad-Crested Weir
Go Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)

Discharge over Broad-Crested Weir with Velocity of Approach Formula

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*Cd*Lweir*((H+ha)^(3/2)-ha^(3/2))

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 (Cd), Length of Weir (Lweir), Head of Liquid (H) & Head Due to Velocity of Approach (ha) 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 -> 59.69284 = 1.705*0.8*1.21*((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*Cd*Lweir*((H+ha)^(3/2)-ha^(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 (Cd), Length of Weir (Lweir), Head of Liquid (H) & Head Due to Velocity of Approach (ha). 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 5 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)
  • Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)
  • Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3))
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