Venturi Head given Theoretical Discharge through Pipe Calculator

✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Theoretical Discharge [Q_th]			+10% -10%
✖Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).ⓘ Cross Section Area 1 [A_i]			+10% -10%
✖Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.ⓘ Cross Section Area 2 [A_f]			+10% -10%

✖Venturi headt is the difference between pressure head at inlet and pressure head at the throat.ⓘ Venturi Head given Theoretical Discharge through Pipe [h_venturi]

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Formula

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Venturi Head given Theoretical Discharge through Pipe

Formula

`"h"_{"venturi"} = (("Q"_{"th"}/("A"_{"i"}*"A"_{"f"}))*(sqrt((("A"_{"i"})^2-("A"_{"f"})^2)/(2*"[g]"))))^2`

Example

`"24.01238mm"=(("1.277m³/s"/("7.1m²"*"1.8m²"))*(sqrt((("7.1m²")^2-("1.8m²")^2)/(2*"[g]"))))^2`

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Venturi Head given Theoretical Discharge through Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Venturi Head = ((Theoretical Discharge/(Cross Section Area 1*Cross Section Area 2))*(sqrt(((Cross Section Area 1)^2-(Cross Section Area 2)^2)/(2*[g]))))^2
h_venturi = ((Q_th/(A_i*A_f))*(sqrt(((A_i)^2-(A_f)^2)/(2*[g]))))^2
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

Venturi Head - (Measured in Meter) - Venturi headt is the difference between pressure head at inlet and pressure head at the throat.
Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.
Cross Section Area 1 - (Measured in Square Meter) - Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).
Cross Section Area 2 - (Measured in Square Meter) - Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.

STEP 1: Convert Input(s) to Base Unit

Theoretical Discharge: 1.277 Cubic Meter per Second --> 1.277 Cubic Meter per Second No Conversion Required
Cross Section Area 1: 7.1 Square Meter --> 7.1 Square Meter No Conversion Required
Cross Section Area 2: 1.8 Square Meter --> 1.8 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_venturi = ((Q_th/(A_i*A_f))*(sqrt(((A_i)^2-(A_f)^2)/(2*[g]))))^2 --> ((1.277/(7.1*1.8))*(sqrt(((7.1)^2-(1.8)^2)/(2*[g]))))^2

Evaluating ... ...

h_venturi = 0.0240123846645442

STEP 3: Convert Result to Output's Unit

0.0240123846645442 Meter -->24.0123846645442 Millimeter (Check conversion here)

FINAL ANSWER

24.0123846645442 ≈ 24.01238 Millimeter <-- Venturi Head

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 10+ Venturimeter Calculators

Theoretical Discharge through Pipe

Go Theoretical Discharge = (Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]*Venturi Head)))/(sqrt((Cross Section Area 1)^(2)-(Cross Section Area 2)^(2)))

Venturi Head given Theoretical Discharge through Pipe

Go Venturi Head = ((Theoretical Discharge/(Cross Section Area 1*Cross Section Area 2))*(sqrt(((Cross Section Area 1)^2-(Cross Section Area 2)^2)/(2*[g]))))^2

Inlet Area given Theoretical Discharge

Go Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head)))

Throat area given Theoretical Discharge

Go Cross Section Area 2 = sqrt((Cross Section Area 1*Theoretical Discharge)^2/((Cross Section Area 1^2*2*[g]*Venturi Head)+Theoretical Discharge^2))

Venturi Head given Difference in Levels of Manometric Liquid in Two Limbs

Go Venturi Head = Length of Venturimeter*(Weight per unit Volume of Manometer Fluid/Specific Weight of Liquid-1)

Density of Manometric Liquid given Venturi Head

Go Weight per unit Volume of Manometer Fluid = Specific Weight of Liquid*(Venturi Head/Length of Venturimeter+1)

Density of Liquid in Pipe given Venturi Head

Go Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1)

Theoretical Discharge given Coefficient of Discharge

Go Theoretical Discharge = Actual Discharge/Coefficient of Discharge

Actual Discharge given Coefficient of Discharge

Go Actual Discharge = Theoretical Velocity*Coefficient of Discharge

Coefficient of Discharge given Discharges

Go Coefficient of Discharge = Actual Discharge/Theoretical Velocity

Venturi Head given Theoretical Discharge through Pipe Formula

What is Venturi Head?

A Venturi meter is used to measure the flow rate through a tube. It is based on the use of the Venturi effect, the reduction of fluid pressure that results when a fluid runs through a constricted section of pipe. It is called after Giovanni Battista Venturi (1746-1822), an Italian physicist.

How to Calculate Venturi Head given Theoretical Discharge through Pipe?

Venturi Head given Theoretical Discharge through Pipe calculator uses Venturi Head = ((Theoretical Discharge/(Cross Section Area 1*Cross Section Area 2))*(sqrt(((Cross Section Area 1)^2-(Cross Section Area 2)^2)/(2*[g]))))^2 to calculate the Venturi Head, The Venturi Head given Theoretical Discharge through pipe formula is defined as total head loss in the flow of fluid through pipe. Venturi Head is denoted by h_venturi symbol.

How to calculate Venturi Head given Theoretical Discharge through Pipe using this online calculator? To use this online calculator for Venturi Head given Theoretical Discharge through Pipe, enter Theoretical Discharge (Q_th), Cross Section Area 1 (A_i) & Cross Section Area 2 (A_f) and hit the calculate button. Here is how the Venturi Head given Theoretical Discharge through Pipe calculation can be explained with given input values -> 24012.38 = ((1.277/(7.1*1.8))*(sqrt(((7.1)^2-(1.8)^2)/(2*[g]))))^2.

FAQ

What is Venturi Head given Theoretical Discharge through Pipe?

The Venturi Head given Theoretical Discharge through pipe formula is defined as total head loss in the flow of fluid through pipe and is represented as h_venturi = ((Q_th/(A_i*A_f))*(sqrt(((A_i)^2-(A_f)^2)/(2*[g]))))^2 or Venturi Head = ((Theoretical Discharge/(Cross Section Area 1*Cross Section Area 2))*(sqrt(((Cross Section Area 1)^2-(Cross Section Area 2)^2)/(2*[g]))))^2. The Theoretical Discharge is given by the theoretical area and velocity, Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe) & Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.

How to calculate Venturi Head given Theoretical Discharge through Pipe?

The Venturi Head given Theoretical Discharge through pipe formula is defined as total head loss in the flow of fluid through pipe is calculated using Venturi Head = ((Theoretical Discharge/(Cross Section Area 1*Cross Section Area 2))*(sqrt(((Cross Section Area 1)^2-(Cross Section Area 2)^2)/(2*[g]))))^2. To calculate Venturi Head given Theoretical Discharge through Pipe, you need Theoretical Discharge (Q_th), Cross Section Area 1 (A_i) & Cross Section Area 2 (A_f). With our tool, you need to enter the respective value for Theoretical Discharge, Cross Section Area 1 & Cross Section Area 2 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 Venturi Head?

In this formula, Venturi Head uses Theoretical Discharge, Cross Section Area 1 & Cross Section Area 2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Venturi Head = Length of Venturimeter*(Weight per unit Volume of Manometer Fluid/Specific Weight of Liquid-1)

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