Head of Liquid at Crest Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)
H = (Qth/(2/3*Cd*Lweir*sqrt(2*[g])))^(2/3)
This formula uses 1 Constants, 1 Functions, 4 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
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.
Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.
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.
STEP 1: Convert Input(s) to Base Unit
Theoretical Discharge: 90 Cubic Meter per Second --> 90 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.8 --> No Conversion Required
Length of Weir: 1.21 Meter --> 1.21 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = (Qth/(2/3*Cd*Lweir*sqrt(2*[g])))^(2/3) --> (90/(2/3*0.8*1.21*sqrt(2*[g])))^(2/3)
Evaluating ... ...
H = 9.97214803798001
STEP 3: Convert Result to Output's Unit
9.97214803798001 Meter --> No Conversion Required
FINAL ANSWER
9.97214803798001 9.972148 Meter <-- Head of Liquid
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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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)

Head of Liquid at Crest Formula

Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)
H = (Qth/(2/3*Cd*Lweir*sqrt(2*[g])))^(2/3)

What is a notch?

A Notch is a device used for measuring the rate of flow of a liquid through a small channel or a tank. It may be defined as an opening in the side of a tank or vessel such as liquid surface in the tank is below the level of opening.

What is the difference between notch and weir?

A notch is generally meant to measure the flow of water from a tank. A weir is also a notch but it is made on a large scale. The weir is a notch cut in a dam to discharge the surplus quantity of water. A notch is usually made of metal plate whereas a weir is made of masonry or concrete.

How to Calculate Head of Liquid at Crest?

Head of Liquid at Crest calculator uses Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3) to calculate the Head of Liquid, Head of Liquid at Crest of a weir refers to the vertical distance between the water level upstream of the weir and the crest of the weir itself. It is a crucial measurement used to determine the flow rate over the weir. Head of Liquid is denoted by H symbol.

How to calculate Head of Liquid at Crest using this online calculator? To use this online calculator for Head of Liquid at Crest, enter Theoretical Discharge (Qth), Coefficient of Discharge (Cd) & Length of Weir (Lweir) and hit the calculate button. Here is how the Head of Liquid at Crest calculation can be explained with given input values -> 0.058076 = (90/(2/3*0.8*1.21*sqrt(2*[g])))^(2/3).

FAQ

What is Head of Liquid at Crest?
Head of Liquid at Crest of a weir refers to the vertical distance between the water level upstream of the weir and the crest of the weir itself. It is a crucial measurement used to determine the flow rate over the weir and is represented as H = (Qth/(2/3*Cd*Lweir*sqrt(2*[g])))^(2/3) or Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3). The Theoretical Discharge is given by the theoretical area and velocity, 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.
How to calculate Head of Liquid at Crest?
Head of Liquid at Crest of a weir refers to the vertical distance between the water level upstream of the weir and the crest of the weir itself. It is a crucial measurement used to determine the flow rate over the weir is calculated using Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3). To calculate Head of Liquid at Crest, you need Theoretical Discharge (Qth), Coefficient of Discharge (Cd) & Length of Weir (Lweir). With our tool, you need to enter the respective value for Theoretical Discharge, Coefficient of Discharge & Length of Weir 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 of Liquid?
In this formula, Head of Liquid uses Theoretical Discharge, Coefficient of Discharge & Length of Weir. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4
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