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Venturi Head given Theoretical Discharge through Pipe Formula

GoVenturi Head given Difference in Levels of Manometric Liquid in Two Limbs Formula

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The Venturi head refers to the difference between pressure head at inlet and pressure head at the throat. Check FAQs

h venturi = {((\frac{Q th}{A i \cdot A f}) \cdot (\sqrt{\frac{{(A i)}^{2} - {(A f)}^{2}}{2 \cdot [g]}}))}^{2}

h_venturi - Venturi Head?Q_th - Theoretical Discharge?A_i - Cross Section Area 1?A_f - Cross Section Area 2?[g] - Gravitational acceleration on Earth?

Venturi Head given Theoretical Discharge through Pipe Example

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Here is how the Venturi Head given Theoretical Discharge through Pipe equation looks like with Values.

Here is how the Venturi Head given Theoretical Discharge through Pipe equation looks like with Units.

Here is how the Venturi Head given Theoretical Discharge through Pipe equation looks like.

24.0124 = {((\frac{1.277}{7.1 \cdot 1.8}) \cdot (\sqrt{\frac{{(7.1)}^{2} - {(1.8)}^{2}}{2 \cdot 9.8066}}))}^{2}

24.0124mm = {((\frac{1.277m³/s}{7.1m² \cdot 1.8m²}) \cdot (\sqrt{\frac{{(7.1m²)}^{2} - {(1.8m²)}^{2}}{2 \cdot 9.8066m/s²}}))}^{2}

24.0124 = {((\frac{1.277}{7.1 \cdot 1.8}) \cdot (\sqrt{\frac{{(7.1)}^{2} - {(1.8)}^{2}}{2 \cdot 9.8066}}))}^{2}

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Venturi Head given Theoretical Discharge through Pipe Solution

Follow our step by step solution on how to calculate Venturi Head given Theoretical Discharge through Pipe?

FIRST Step Consider the formula

h venturi = {((\frac{Q th}{A i \cdot A f}) \cdot (\sqrt{\frac{{(A i)}^{2} - {(A f)}^{2}}{2 \cdot [g]}}))}^{2}

Next Step Substitute values of Variables

∴

h venturi = {((\frac{1.277m³/s}{7.1m² \cdot 1.8m²}) \cdot (\sqrt{\frac{{(7.1m²)}^{2} - {(1.8m²)}^{2}}{2 \cdot [g]}}))}^{2}

Next Step Substitute values of Constants

∴

h venturi = {((\frac{1.277m³/s}{7.1m² \cdot 1.8m²}) \cdot (\sqrt{\frac{{(7.1m²)}^{2} - {(1.8m²)}^{2}}{2 \cdot 9.8066m/s²}}))}^{2}

Next Step Prepare to Evaluate

∴

h venturi = {((\frac{1.277}{7.1 \cdot 1.8}) \cdot (\sqrt{\frac{{(7.1)}^{2} - {(1.8)}^{2}}{2 \cdot 9.8066}}))}^{2}

Next Step Evaluate

∴

h venturi = 0.0240123846645442m

Next Step Convert to Output's Unit

∴

h venturi = 24.0123846645442mm

LAST Step Rounding Answer

∴

h venturi = 24.0124mm

Venturi Head given Theoretical Discharge through Pipe Formula Elements

Variables

Constants

Functions

Venturi Head

The Venturi head refers to the difference between pressure head at inlet and pressure head at the throat.

Symbol: h_venturi

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Venturi Head

Theoretical Discharge

The Theoretical Discharge refers to the ideal flow rate of a fluid through a system, calculated under perfect conditions without considering any real-world losses like friction or turbulence.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge

Cross Section Area 1

The Cross Section Area 1 refers to the area of cross section at the inlet of the structure (venturi meter or pipe).

Symbol: A_i

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Section Area 1

Cross Section Area 2

The Cross Section Area 2 refers to the area of cross-section at the throat (venturi meter) of the structure.

Symbol: A_f

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Section Area 2

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Venturi Head

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

h venturi = L \cdot (\frac{𝑤}{γ f} - 1)

Other formulas in Venturi Meter category

Go Theoretical Discharge through Pipe

Q th = \frac{A i \cdot A f \cdot (\sqrt{2 \cdot [g] \cdot h venturi})}{\sqrt{{(A i)}^{2} - {(A f)}^{2}}}

Go Throat Area given Theoretical Discharge

A f = \sqrt{\frac{{(A i \cdot Q th)}^{2}}{({A i}^{2} \cdot 2 \cdot [g] \cdot h venturi) + {Q th}^{2}}}

Go Inlet Area given Theoretical Discharge

A i = \sqrt{\frac{{(Q th \cdot A f)}^{2}}{{(Q th)}^{2} - ({A f}^{2} \cdot 2 \cdot [g] \cdot h venturi)}}

Go Coefficient of Discharge given Discharges

C d = \frac{Q actual}{V theoritical}

How to Evaluate Venturi Head given Theoretical Discharge through Pipe?

Venturi Head given Theoretical Discharge through Pipe evaluator 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 evaluate the Venturi Head, The Venturi Head given Theoretical Discharge through Pipe formula is defined as the total head loss in the flow of fluid through pipe. Venturi Head is denoted by h_venturi symbol.

How to evaluate Venturi Head given Theoretical Discharge through Pipe using this online evaluator? To use this online evaluator 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.

FAQs on Venturi Head given Theoretical Discharge through Pipe

What is the formula to find Venturi Head given Theoretical Discharge through Pipe?

The formula of Venturi Head given Theoretical Discharge through Pipe is expressed as 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. Here is an example- 24012.38 = ((1.277/(7.1*1.8))*(sqrt(((7.1)^2-(1.8)^2)/(2*[g]))))^2.

How to calculate Venturi Head given Theoretical Discharge through Pipe?

With Theoretical Discharge (Q_th), Cross Section Area 1 (A_i) & Cross Section Area 2 (A_f) we can find Venturi Head given Theoretical Discharge through Pipe using the formula - 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. This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

What are the other ways to Calculate Venturi Head?

Here are the different ways to Calculate Venturi Head-

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

Can the Venturi Head given Theoretical Discharge through Pipe be negative?

Yes, the Venturi Head given Theoretical Discharge through Pipe, measured in Length can be negative.

Which unit is used to measure Venturi Head given Theoretical Discharge through Pipe?

Venturi Head given Theoretical Discharge through Pipe is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Venturi Head given Theoretical Discharge through Pipe can be measured.

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Venturi Head given Theoretical Discharge through Pipe Formula

​GoVenturi Head given Difference in Levels of Manometric Liquid in Two Limbs Formula

Venturi Head given Theoretical Discharge through Pipe Example

Venturi Head given Theoretical Discharge through Pipe Solution

Venturi Head given Theoretical Discharge through Pipe Formula Elements

Other Formulas to find Venturi Head

Other formulas in Venturi Meter category

How to Evaluate Venturi Head given Theoretical Discharge through Pipe?

FAQs on Venturi Head given Theoretical Discharge through Pipe

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GoVenturi Head given Difference in Levels of Manometric Liquid in Two Limbs Formula