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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*CD*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*CD*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 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*CD*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 (CD), 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*CD*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 (CD), 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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