Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given 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 ↺

✖Discharge is the rate of flow of a liquidⓘ Discharge [Q]			+10% -10%
✖Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.ⓘ Discharge coefficient [C_D]			+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%
✖additional head is the applied head due to the velocity of approachⓘ additional head [_ha]			+10% -10%

✖Head is defined as the height of water columnsⓘ Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given [H]

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M Naveen

National Institute of Technology (NIT), Warangal

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

Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given Solution

STEP 0: Pre-Calculation Summary

Formula Used

head = (((Discharge*3)/(2*Discharge coefficient *sqrt(2*Acceleration Due To Gravity)*Length))+additional head^(3/2))^(2/3)-additional head
H = (((Q*3)/(2*C_D*sqrt(2*g)*l))+_ha^(3/2))^(2/3)-_ha
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Discharge - Discharge is the rate of flow of a liquid (Measured in Meter³ per Second)
Discharge coefficient - Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.
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)
additional head - additional head is the applied head due to the velocity of approach (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Discharge: 1 Meter³ per Second --> 1 Meter³ per Second No Conversion Required
Discharge coefficient : 0.48 --> 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
additional head: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (((Q*3)/(2*C_D*sqrt(2*g)*l))+_ha^(3/2))^(2/3)-_ha --> (((1*3)/(2*0.48*sqrt(2*9.8)*3))+50^(3/2))^(2/3)-50

Evaluating ... ...

H = 0.0221807543150234

STEP 3: Convert Result to Output's Unit

0.0221807543150234 Meter --> No Conversion Required

FINAL ANSWER

0.0221807543150234 Meter <-- Head

(Calculation completed in 12.482 seconds)

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< 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

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area = Length*Breadth Go

< 11 Other formulas that calculate the same Output

Equation for Head

head = sqrt(((-Natural Recharge*Flow in 'x' Direction^2)/Coefficient of permeability)-(((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2-((Natural Recharge*Length^2)/Coefficient of permeability))/Length)*Flow in 'x' Direction)+Piezometric Head at Upstream End^2) Go

Head (H) Over the Crest when Discharge (Q) if the Velocity not Considered is given

head = -((((Discharge*2)/(3*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)))^(2/3)) -Length)/(0.1*number of end contractions) Go

Head available at the base of the nozzle

head = Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(flow velocity^2)/(Diameter of Pipe*2*[g])) Go

Head (H) Over the Crest when Discharge Over the Weir(Q) is given

head = ((Discharge*3)/(2*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length))^(2/3) Go

Water Table Profile neglecting the Depths of Water in the Drains

head = sqrt((Natural Recharge/Coefficient of permeability)*(Length-Flow in 'x' Direction)*Flow in 'x' Direction) Go

Equation for Head in Confined Groundwater Flow

head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length)*Flow in 'x' Direction Go

Head (H) when Energy through Hydraulic Turbines is given

head = (Energy through hydraulic turbines/ (9.81*Rate of flow*Efficiency *Time Period Of Progressive Wave))+Head loss Go

Head (H) when Amount of Hydropower is given

head = (Amount of hydropower/(9.81*Rate of flow*Efficiency ))+Head loss Go

Head of a turbine given specific speed

head = ((Speed*sqrt(Power))/Specific speed of a turbine)^(4/5) Go

Head of a pump given specific speed

head = (Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3) Go

Head when Discharge(Q) for the Notch which is to be Caliberated is given

head = (Discharge/Constant a)^(1/number of end contractions) Go

Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given Formula

head = (((Discharge*3)/(2*Discharge coefficient *sqrt(2*Acceleration Due To Gravity)*Length))+additional head^(3/2))^(2/3)-additional head
H = (((Q*3)/(2*C_D*sqrt(2*g)*l))+_ha^(3/2))^(2/3)-_ha

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 Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given?

Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given calculator uses head = (((Discharge*3)/(2*Discharge coefficient *sqrt(2*Acceleration Due To Gravity)*Length))+additional head^(3/2))^(2/3)-additional head to calculate the Head, The Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given is a measure of the potential of fluid at the measurement point. Head and is denoted by H symbol.

How to calculate Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given using this online calculator? To use this online calculator for Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given, enter Discharge (Q), Discharge coefficient (C_D), Acceleration Due To Gravity (g), Length (l) and additional head (_ha) and hit the calculate button. Here is how the Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given calculation can be explained with given input values -> 0.022181 = (((1*3)/(2*0.48*sqrt(2*9.8)*3))+50^(3/2))^(2/3)-50.

FAQ

What is Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given?

The Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given is a measure of the potential of fluid at the measurement point and is represented as H = (((Q*3)/(2*C_D*sqrt(2*g)*l))+_ha^(3/2))^(2/3)-_ha or head = (((Discharge*3)/(2*Discharge coefficient *sqrt(2*Acceleration Due To Gravity)*Length))+additional head^(3/2))^(2/3)-additional head. Discharge is the rate of flow of a liquid, Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet, 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 additional head is the applied head due to the velocity of approach.

How to calculate Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given?

The Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given is a measure of the potential of fluid at the measurement point is calculated using head = (((Discharge*3)/(2*Discharge coefficient *sqrt(2*Acceleration Due To Gravity)*Length))+additional head^(3/2))^(2/3)-additional head. To calculate Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given, you need Discharge (Q), Discharge coefficient (C_D), Acceleration Due To Gravity (g), Length (l) and additional head (_ha). With our tool, you need to enter the respective value for Discharge, Discharge coefficient , Acceleration Due To Gravity, Length and additional 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 Head?

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

head = (Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3)
head = ((Speed*sqrt(Power))/Specific speed of a turbine)^(4/5)
head = Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(flow velocity^2)/(Diameter of Pipe*2*[g]))
head = sqrt(((-Natural Recharge*Flow in 'x' Direction^2)/Coefficient of permeability)-(((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2-((Natural Recharge*Length^2)/Coefficient of permeability))/Length)*Flow in 'x' Direction)+Piezometric Head at Upstream End^2)
head = sqrt((Natural Recharge/Coefficient of permeability)*(Length-Flow in 'x' Direction)*Flow in 'x' Direction)
head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length)*Flow in 'x' Direction
head = (Amount of hydropower/(9.81*Rate of flow*Efficiency ))+Head loss
head = (Energy through hydraulic turbines/ (9.81*Rate of flow*Efficiency *Time Period Of Progressive Wave))+Head loss
head = ((Discharge*3)/(2*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length))^(2/3)
head = -((((Discharge*2)/(3*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)))^(2/3)) -Length)/(0.1*number of end contractions)
head = (Discharge/Constant a)^(1/number of end contractions)

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