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Theoretical discharge for Venturimeter Formula

GoDischarge through Elbow Meter Formula

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Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc. Check FAQs

Q = \frac{A 1 \cdot A t \cdot (\sqrt{2 \cdot g \cdot h venturi})}{\sqrt{{(A 1)}^{2} - {(A t)}^{2}}}

Q - Rate of flow?A₁ - Area of cross section at inlet?A_t - Area of Cross section at Throat?g - Acceleration Due To Gravity?h_venturi - Venturi Head?

Theoretical discharge for Venturimeter Example

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Here is how the Theoretical discharge for Venturimeter equation looks like with Values.

Here is how the Theoretical discharge for Venturimeter equation looks like with Units.

Here is how the Theoretical discharge for Venturimeter equation looks like.

0.0018 = \frac{120 \cdot 25 \cdot (\sqrt{2 \cdot 9.8 \cdot 24})}{\sqrt{{(120)}^{2} - {(25)}^{2}}}

0.0018m³/s = \frac{120cm² \cdot 25cm² \cdot (\sqrt{2 \cdot 9.8m/s² \cdot 24mm})}{\sqrt{{(120cm²)}^{2} - {(25cm²)}^{2}}}

0.0018 = \frac{120 \cdot 25 \cdot (\sqrt{2 \cdot 9.8 \cdot 24})}{\sqrt{{(120)}^{2} - {(25)}^{2}}}

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Theoretical discharge for Venturimeter Solution

Follow our step by step solution on how to calculate Theoretical discharge for Venturimeter?

FIRST Step Consider the formula

Q = \frac{A 1 \cdot A t \cdot (\sqrt{2 \cdot g \cdot h venturi})}{\sqrt{{(A 1)}^{2} - {(A t)}^{2}}}

Next Step Substitute values of Variables

∴

Q = \frac{120cm² \cdot 25cm² \cdot (\sqrt{2 \cdot 9.8m/s² \cdot 24mm})}{\sqrt{{(120cm²)}^{2} - {(25cm²)}^{2}}}

Next Step Convert Units

∴

Q = \frac{0.012m² \cdot 0.0025m² \cdot (\sqrt{2 \cdot 9.8m/s² \cdot 0.024m})}{\sqrt{{(0.012m²)}^{2} - {(0.0025m²)}^{2}}}

Next Step Prepare to Evaluate

∴

Q = \frac{0.012 \cdot 0.0025 \cdot (\sqrt{2 \cdot 9.8 \cdot 0.024})}{\sqrt{{(0.012)}^{2} - {(0.0025)}^{2}}}

Next Step Evaluate

∴

Q = 0.00175310975965599m³/s

LAST Step Rounding Answer

∴

Q = 0.0018m³/s

Theoretical discharge for Venturimeter Formula Elements

Variables

Functions

Rate of flow

Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Rate of flow

Area of cross section at inlet

Area of cross section at inlet is denoted by the symbol A₁.

Symbol: A₁

Measurement: AreaUnit: cm²

Note: Value can be positive or negative.

Formulas to find Area of cross section at inlet

Area of Cross section at Throat

Area of cross section at Throat of the channel.

Symbol: A_t

Measurement: AreaUnit: cm²

Note: Value can be positive or negative.

Formulas to find Area of Cross section at Throat

Acceleration Due To Gravity

The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due To Gravity

Venturi Head

Venturi headt is 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

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 Rate of flow

Go Discharge through Elbow Meter

Q = C d \cdot A \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})

Other formulas in Liquid Properties Measuring Equipments category

Go Capillarity through Annular Space

h capillarity = \frac{2 \cdot σ \cdot \cos (θ)}{γ \cdot (r outer - r inner)}

Go Capillarity through Circular Tube Inserted in Liquid of S1 above Liquid of S2

h capillarity = \frac{2 \cdot σ \cdot \cos (θ)}{y \cdot r circular tube \cdot (S 1 - S 2)}

Go Capillarity through Parallel Plates

h capillarity = \frac{2 \cdot σ \cdot \cos (θ)}{γ \cdot t}

Go Height of liquid in tube

h liquid = \frac{4 \cdot σ \cdot \cos (θ)}{ρ l \cdot g \cdot d}

How to Evaluate Theoretical discharge for Venturimeter?

Theoretical discharge for Venturimeter evaluator uses Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2))) to evaluate the Rate of flow, Theoretical discharge for Venturimeter is simply the rate of flow of a liquid through a venturimeter channel. Rate of flow is denoted by Q symbol.

How to evaluate Theoretical discharge for Venturimeter using this online evaluator? To use this online evaluator for Theoretical discharge for Venturimeter, enter Area of cross section at inlet (A₁), Area of Cross section at Throat (A_t), Acceleration Due To Gravity (g) & Venturi Head (h_venturi) and hit the calculate button.

FAQs on Theoretical discharge for Venturimeter

What is the formula to find Theoretical discharge for Venturimeter?

The formula of Theoretical discharge for Venturimeter is expressed as Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2))). Here is an example- 0.001753 = (0.012*0.0025*(sqrt(2*9.8*0.024)))/(sqrt((0.012)^(2)-(0.0025)^(2))).

How to calculate Theoretical discharge for Venturimeter?

With Area of cross section at inlet (A₁), Area of Cross section at Throat (A_t), Acceleration Due To Gravity (g) & Venturi Head (h_venturi) we can find Theoretical discharge for Venturimeter using the formula - Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Rate of flow?

Here are the different ways to Calculate Rate of flow-

Rate of flow=Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height))

Can the Theoretical discharge for Venturimeter be negative?

Yes, the Theoretical discharge for Venturimeter, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Theoretical discharge for Venturimeter?

Theoretical discharge for Venturimeter is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Theoretical discharge for Venturimeter can be measured.

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Theoretical discharge for Venturimeter Formula

​GoDischarge through Elbow Meter Formula

Theoretical discharge for Venturimeter Example

Theoretical discharge for Venturimeter Solution

Theoretical discharge for Venturimeter Formula Elements

Other Formulas to find Rate of flow

Other formulas in Liquid Properties Measuring Equipments category

How to Evaluate Theoretical discharge for Venturimeter?

FAQs on Theoretical discharge for Venturimeter

Variable Name

GoDischarge through Elbow Meter Formula