Head of Liquid at Crest Calculator

✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Theoretical Discharge [Q_th]			+10% -10%
✖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_w]			+10% -10%

✖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.ⓘ Head of Liquid at Crest [H]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Notches and Weirs Formulas PDF PDF Image

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 = (Q_th/(2/3*C_d*L_w*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: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (Q_th/(2/3*C_d*L_w*sqrt(2*[g])))^(2/3) --> (90/(2/3*0.8*25*sqrt(2*[g])))^(2/3)

Evaluating ... ...

H = 1.3243993475815

STEP 3: Convert Result to Output's Unit

1.3243993475815 Meter --> No Conversion Required

FINAL ANSWER

1.3243993475815 ≈ 1.324399 Meter <-- Head of Liquid

(Calculation completed in 00.006 seconds)

You are here -

Home » Physics » Fluid Mechanics » Notches and Weirs » Mechanical » Discharge » Head of Liquid at Crest

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

Vinay Mishra has verified this Calculator and 100+ more calculators!

< Discharge Calculators

Time Required to Empty Reservoir

LaTeX 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))

Time Required to Empty Tank with Triangular Weir or Notch

LaTeX 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)))

Head of Liquid above V-notch

LaTeX Go Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4

Head of Liquid at Crest

LaTeX Go Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)

Head of Liquid at Crest Formula

LaTeX Go

Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)
H = (Q_th/(2/3*C_d*L_w*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 (Q_th), Coefficient of Discharge (C_d) & Length of Weir (L_w) and hit the calculate button. Here is how the Head of Liquid at Crest calculation can be explained with given input values -> 1.324399 = (90/(2/3*0.8*25*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 = (Q_th/(2/3*C_d*L_w*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 (Q_th), Coefficient of Discharge (C_d) & Length of Weir (L_w). 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

Home

FREE PDFs

🔍 Search