Discharge Over the Weir(Q) Calculator

Main Category	Engineering ↺
Engineering	Civil ↺
Civil	Hydraulics and Waterworks ↺
Hydraulics and Waterworks	Flow Over Notches and Weirs ↺
Flow Over Notches and Weirs	Flow Over a Rectangular Sharp-Crested Weir or Notch ↺

✖The coefficient of discharge rectangular portion is considered in discharge through the trapezoidal notch.ⓘ coefficient of discharge rectangular [C d1]			+10% -10%
✖The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due To Gravity [g]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [l]			+10% -10%
✖Head is defined as the height of water columnsⓘ Head [H]			+10% -10%

✖Discharge is the rate of flow of a liquidⓘ Discharge Over the Weir(Q) [Q]

⎘ Copy

👎

Formula

Reset

👍

Credits

M Naveen

National Institute of Technology (NIT), Warangal

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

Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1000+ more calculators!

Discharge Over the Weir(Q) Solution

STEP 0: Pre-Calculation Summary

Formula Used

discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2)
Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

coefficient of discharge rectangular- The coefficient of discharge rectangular portion is considered in discharge through the trapezoidal notch.
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Head - Head is defined as the height of water columns (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

coefficient of discharge rectangular: 0.63 --> No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Head: 1 Meter --> 1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2) --> (2/3)*0.63*sqrt(2*9.8)*3*1^(3/2)

Evaluating ... ...

Q = 5.57825779253702

STEP 3: Convert Result to Output's Unit

5.57825779253702 Meter³ per Second --> No Conversion Required

FINAL ANSWER

5.57825779253702 Meter³ per Second <-- Discharge

(Calculation completed in 00.047 seconds)

You are here

Home »
Engineering »
Civil »
Hydraulics and Waterworks »
Flow Over Notches and Weirs »
Flow Over a Rectangular Sharp-Crested Weir or Notch »
Discharge Over the Weir(Q)

< 11 Other formulas that you can solve using the same Inputs

Surface Area of a Rectangular Prism

surface_area = 2*(Length*Width+Length*Height+Width*Height) Go

Magnetic Flux

magnetic_flux = Magnetic Field*Length*Breadth*cos(θ) Go

Area of a Rectangle when length and diagonal are given

area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go

Potential Energy

potential_energy = Mass*Acceleration Due To Gravity*Height Go

Pressure when density and height are given

pressure = Density*Acceleration Due To Gravity*Height Go

Diagonal of a Rectangle when length and breadth are given

diagonal = sqrt(Length^2+Breadth^2) Go

Volume of a Rectangular Prism

volume = Width*Height*Length Go

Strain

strain = Change In Length/Length Go

Surface Tension

surface_tension = Force/Length Go

Perimeter of a rectangle when length and width are given

perimeter = 2*Length+2*Width Go

Area of a Rectangle when length and breadth are given

area = Length*Breadth Go

< 11 Other formulas that calculate the same Output

Discharge with velocity of approach

discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5)) Go

Discharge over a broad-crested weir for head of liquid at middle

discharge = coefficient of discharging*Length*sqrt((2*[g])*((head of the liquid*head of liquid middle^2)-(head of liquid middle^3))) Go

Discharge over rectangle weir for Bazin's formula with velocity approach

discharge = (0.405+(0.003/(head of the liquid+head due to Va)))*Length*sqrt(2*[g])*((head of the liquid+head due to Va)^1.5) Go

Discharge over rectangle weir with two end contractions

discharge = (2/3)*coefficient of discharging*(Length-(0.2*head of the liquid))*sqrt(2*[g])*(head of the liquid^1.5) Go

Discharge without velocity of approach

discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(initial height of liquid^1.5) Go

Discharge over rectangle weir considering Bazin's formula

discharge = (0.405+(0.003/head of the liquid))*Length*sqrt(2*[g])*((head of the liquid)^1.5) Go

Discharge over rectangle weir considering Francis's formula

discharge = 1.84*Length*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5)) Go

Discharge from Manning's equation

discharge = (1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2 Go

Discharge over a broad-crested weir

discharge = 1.705*coefficient of discharging*Length*(head of the liquid^1.5) Go

Discharge during retraction

discharge = Velocity*(Area of piston-Area of piston rod) Go

Discharge during extension

discharge = Velocity*Area of piston Go

Discharge Over the Weir(Q) Formula

discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2)
Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2)

What is Coefficient of Discharge?

Discharge Coefficient is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge.

How to Calculate Discharge Over the Weir(Q)?

Discharge Over the Weir(Q) calculator uses discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2) to calculate the Discharge, The Discharge Over the Weir(Q) is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Discharge and is denoted by Q symbol.

How to calculate Discharge Over the Weir(Q) using this online calculator? To use this online calculator for Discharge Over the Weir(Q), enter coefficient of discharge rectangular (C d1), Acceleration Due To Gravity (g), Length (l) and Head (H) and hit the calculate button. Here is how the Discharge Over the Weir(Q) calculation can be explained with given input values -> 5.578258 = (2/3)*0.63*sqrt(2*9.8)*3*1^(3/2).

FAQ

What is Discharge Over the Weir(Q)?

The Discharge Over the Weir(Q) is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass and is represented as Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2) or discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2). The coefficient of discharge rectangular portion is considered in discharge through the trapezoidal notch, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Length is the measurement or extent of something from end to end and Head is defined as the height of water columns.

How to calculate Discharge Over the Weir(Q)?

The Discharge Over the Weir(Q) is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass is calculated using discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2). To calculate Discharge Over the Weir(Q), you need coefficient of discharge rectangular (C d1), Acceleration Due To Gravity (g), Length (l) and Head (H). With our tool, you need to enter the respective value for coefficient of discharge rectangular, Acceleration Due To Gravity, Length and 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 Discharge?

In this formula, Discharge uses coefficient of discharge rectangular, Acceleration Due To Gravity, Length and Head. We can use 11 other way(s) to calculate the same, which is/are as follows -

discharge = Velocity*Area of piston
discharge = Velocity*(Area of piston-Area of piston rod)
discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5))
discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(initial height of liquid^1.5)
discharge = (1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2
discharge = 1.84*Length*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5))
discharge = (0.405+(0.003/head of the liquid))*Length*sqrt(2*[g])*((head of the liquid)^1.5)
discharge = (0.405+(0.003/(head of the liquid+head due to Va)))*Length*sqrt(2*[g])*((head of the liquid+head due to Va)^1.5)
discharge = (2/3)*coefficient of discharging*(Length-(0.2*head of the liquid))*sqrt(2*[g])*(head of the liquid^1.5)
discharge = 1.705*coefficient of discharging*Length*(head of the liquid^1.5)
discharge = coefficient of discharging*Length*sqrt((2*[g])*((head of the liquid*head of liquid middle^2)-(head of liquid middle^3)))

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!