Discharge with Velocity of Approach Calculator

↳

⤿

Notches and Weirs

Draft Tube

Orifices and Mouthpieces

Properties of Surfaces and Solids

Viscous Flow

⤿

Discharge

Geometric DImension

✖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_weir]			+10% -10%
✖The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%
✖The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Final Height of Liquid [H_f]			+10% -10%

✖Discharge Weir is the rate of flow of a liquid.ⓘ Discharge with Velocity of Approach [Q']

⎘ Copy

👎

Formula

✖

Discharge with Velocity of Approach

Formula

`"Q'" = 2/3*"C"_{"d"}*"L"_{"weir"}*sqrt(2*"[g]")*(("H"_{"i"}+"H"_{"f"})^(3/2)-"H"_{"f"}^(3/2))`

Example

`"7265.439m³/s"=2/3*"0.8"*"1.21m"*sqrt(2*"[g]")*(("186.1m"+"0.17m")^(3/2)-("0.17m")^(3/2))`

Calculator

LaTeX

Reset

👍

Download Notches and Weirs Formulas PDF

Discharge with Velocity of Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q' = 2/3*C_d*L_weir*sqrt(2*[g])*((H_i+H_f)^(3/2)-H_f^(3/2))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Discharge - (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.
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.
Final Height of Liquid - (Measured in Meter) - The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.

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
Initial Height of Liquid: 186.1 Meter --> 186.1 Meter No Conversion Required
Final Height of Liquid: 0.17 Meter --> 0.17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q' = 2/3*C_d*L_weir*sqrt(2*[g])*((H_i+H_f)^(3/2)-H_f^(3/2)) --> 2/3*0.8*1.21*sqrt(2*[g])*((186.1+0.17)^(3/2)-0.17^(3/2))

Evaluating ... ...

Q' = 7265.43850848609

STEP 3: Convert Result to Output's Unit

7265.43850848609 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

7265.43850848609 ≈ 7265.439 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Notches and Weirs » Discharge » Discharge with Velocity of Approach

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< 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 with Velocity of Approach Formula

What is velocity of approach?

It is defined as the velocity with which the water approaches or reaches the weir or notch before it flows over it.

What is discharge over a rectangular notch?

The discharge through a weir or notch is directly related to the water depth or head (H). This head is affected by the condition of the crest, the contraction, the velocity of the approaching stream, and the elevation of the water surface downstream from the weir.

How to Calculate Discharge with Velocity of Approach?

Discharge with Velocity of Approach calculator uses 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)) to calculate the Discharge, The Discharge with velocity of approach formula is known by considering the initial height of liquid over the notch and then the final height is equal to ha and the discharge over a rectangular weir is given by the velocity of approach. Discharge is denoted by Q' symbol.

How to calculate Discharge with Velocity of Approach using this online calculator? To use this online calculator for Discharge with Velocity of Approach, enter Coefficient of Discharge (C_d), Length of Weir (L_weir), Initial Height of Liquid (H_i) & Final Height of Liquid (H_f) and hit the calculate button. Here is how the Discharge with Velocity of Approach calculation can be explained with given input values -> 7265.439 = 2/3*0.8*1.21*sqrt(2*[g])*((186.1+0.17)^(3/2)-0.17^(3/2)).

FAQ

What is Discharge with Velocity of Approach?

The Discharge with velocity of approach formula is known by considering the initial height of liquid over the notch and then the final height is equal to ha and the discharge over a rectangular weir is given by the velocity of approach and is represented as Q' = 2/3*C_d*L_weir*sqrt(2*[g])*((H_i+H_f)^(3/2)-H_f^(3/2)) or 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)). 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 Initial height of liquid is a variable from the tank emptying through an orifice at its bottom & The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.

How to calculate Discharge with Velocity of Approach?

The Discharge with velocity of approach formula is known by considering the initial height of liquid over the notch and then the final height is equal to ha and the discharge over a rectangular weir is given by the velocity of approach is calculated using 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)). To calculate Discharge with Velocity of Approach, you need Coefficient of Discharge (C_d), Length of Weir (L_weir), Initial Height of Liquid (H_i) & Final Height of Liquid (H_f). With our tool, you need to enter the respective value for Coefficient of Discharge, Length of Weir, Initial Height of Liquid & Final Height of Liquid 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?

In this formula, Discharge uses Coefficient of Discharge, Length of Weir, Initial Height of Liquid & Final Height of Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Initial Height of Liquid^(3/2)
Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Home

FREE PDFs

🔍 Search