Head of Liquid above V-notch 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 angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]			+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 above V-notch [H]

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Head of Liquid above V-notch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4
H = (Q_th/(8/15*C_d*tan(∠A/2)*sqrt(2*[g])))^0.4
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
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.
Angle A - (Measured in Radian) - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

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
Angle A: 142 Degree --> 2.47836753783148 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (Q_th/(8/15*C_d*tan(∠A/2)*sqrt(2*[g])))^0.4 --> (90/(8/15*0.8*tan(2.47836753783148/2)*sqrt(2*[g])))^0.4

Evaluating ... ...

H = 3.06154131442832

STEP 3: Convert Result to Output's Unit

3.06154131442832 Meter --> No Conversion Required

FINAL ANSWER

3.06154131442832 ≈ 3.061541 Meter <-- Head of Liquid

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 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 above V-notch Formula

LaTeX Go

Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4
H = (Q_th/(8/15*C_d*tan(∠A/2)*sqrt(2*[g])))^0.4

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 a triangular notch or weir?

Triangular weirs are sharp-crested thin plates with V-shaped opening (or notch). These plates are installed at the exit of a channel, tank, or basin in order to measure the real-time flow of water.

How to Calculate Head of Liquid above V-notch?

Head of Liquid above V-notch calculator uses Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4 to calculate the Head of Liquid, Head of Liquid above V-notch, also known as the "head over the weir," is a measurement used to determine the flow rate of a liquid over a V-notch weir. Head of Liquid is denoted by H symbol.

How to calculate Head of Liquid above V-notch using this online calculator? To use this online calculator for Head of Liquid above V-notch, enter Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Angle A (∠A) and hit the calculate button. Here is how the Head of Liquid above V-notch calculation can be explained with given input values -> 3.061541 = (90/(8/15*0.8*tan(2.47836753783148/2)*sqrt(2*[g])))^0.4.

FAQ

What is Head of Liquid above V-notch?

Head of Liquid above V-notch, also known as the "head over the weir," is a measurement used to determine the flow rate of a liquid over a V-notch weir and is represented as H = (Q_th/(8/15*C_d*tan(∠A/2)*sqrt(2*[g])))^0.4 or Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4. 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 angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Head of Liquid above V-notch?

Head of Liquid above V-notch, also known as the "head over the weir," is a measurement used to determine the flow rate of a liquid over a V-notch weir is calculated using Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4. To calculate Head of Liquid above V-notch, you need Theoretical Discharge (Q_th), Coefficient of Discharge (C_d) & Angle A (∠A). With our tool, you need to enter the respective value for Theoretical Discharge, Coefficient of Discharge & Angle A 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 & Angle A. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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