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Actual Discharge in Venturimeter Formula

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Actual Discharge through Venturimeter is given by the actual area and velocity. Check FAQs

Q a = C' d \cdot (\frac{A 1 \cdot A 2}{\sqrt{({A 1}^{2}) - ({A 2}^{2})}} \cdot \sqrt{2 \cdot [g] \cdot h v})

Q_a - Actual Discharge through Venturimeter?C'_d - Coefficient of Discharge of Venturimeter?A₁ - Cross Section Area of Venturimeter Inlet?A₂ - Cross Section Area of Venturimeter Throat?h_v - Net Head of Liquid in Venturimeter?[g] - Gravitational acceleration on Earth?

Actual Discharge in Venturimeter Example

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Here is how the Actual Discharge in Venturimeter equation looks like with Values.

Here is how the Actual Discharge in Venturimeter equation looks like with Units.

Here is how the Actual Discharge in Venturimeter equation looks like.

57376.7744 = 0.94 \cdot (\frac{314 \cdot 78.5}{\sqrt{(314^{2}) - ({78.5}^{2})}} \cdot \sqrt{2 \cdot 9.8066 \cdot 289})

57376.7744cm³/s = 0.94 \cdot (\frac{314cm² \cdot 78.5cm²}{\sqrt{({314cm²}^{2}) - ({78.5cm²}^{2})}} \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 289cm})

57376.7744 = 0.94 \cdot (\frac{314 \cdot 78.5}{\sqrt{(314^{2}) - ({78.5}^{2})}} \cdot \sqrt{2 \cdot 9.8066 \cdot 289})

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Actual Discharge in Venturimeter Solution

Follow our step by step solution on how to calculate Actual Discharge in Venturimeter?

FIRST Step Consider the formula

Q a = C' d \cdot (\frac{A 1 \cdot A 2}{\sqrt{({A 1}^{2}) - ({A 2}^{2})}} \cdot \sqrt{2 \cdot [g] \cdot h v})

Next Step Substitute values of Variables

∴

Q a = 0.94 \cdot (\frac{314cm² \cdot 78.5cm²}{\sqrt{({314cm²}^{2}) - ({78.5cm²}^{2})}} \cdot \sqrt{2 \cdot [g] \cdot 289cm})

Next Step Substitute values of Constants

∴

Q a = 0.94 \cdot (\frac{314cm² \cdot 78.5cm²}{\sqrt{({314cm²}^{2}) - ({78.5cm²}^{2})}} \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 289cm})

Next Step Convert Units

∴

Q a = 0.94 \cdot (\frac{0.0314m² \cdot 0.0079m²}{\sqrt{({0.0314m²}^{2}) - ({0.0079m²}^{2})}} \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 2.89m})

Next Step Prepare to Evaluate

∴

Q a = 0.94 \cdot (\frac{0.0314 \cdot 0.0079}{\sqrt{({0.0314}^{2}) - ({0.0079}^{2})}} \cdot \sqrt{2 \cdot 9.8066 \cdot 2.89})

Next Step Evaluate

∴

Q a = 0.0573767743548333m³/s

Next Step Convert to Output's Unit

∴

Q a = 57376.7743548333cm³/s

LAST Step Rounding Answer

∴

Q a = 57376.7744cm³/s

Actual Discharge in Venturimeter Formula Elements

Variables

Constants

Functions

Actual Discharge through Venturimeter

Actual Discharge through Venturimeter is given by the actual area and velocity.

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: cm³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge through Venturimeter

Coefficient of Discharge of Venturimeter

Coefficient of Discharge of Venturimeter is the ratio of the actual discharge to the theoretical discharge.

Symbol: C'_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Discharge of Venturimeter

Cross Section Area of Venturimeter Inlet

Cross Section Area of Venturimeter Inlet is the area of the cross-section of the inlet tube part of the venturimeter.

Symbol: A₁

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Cross Section Area of Venturimeter Inlet

Cross Section Area of Venturimeter Throat

Cross Section Area of Venturimeter Throat is the area of the cross-section of the throat part (area of minimum cross-section) of the venturimeter.

Symbol: A₂

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Cross Section Area of Venturimeter Throat

Net Head of Liquid in Venturimeter

Net Head of Liquid in Venturimeter is the difference in the levels of fluid in the two vertical tubes of the venturimeter.

Symbol: h_v

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Net Head of Liquid in Venturimeter

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 in Kinematics of Flow category

Go Rate of flow or discharge

Q = A cs \cdot v avg

Go Resultant velocity for two velocity components

V = \sqrt{(u^{2}) + (v^{2})}

Go Depth of Parabola formed at Free Surface of Water

Z = \frac{(ω^{2}) \cdot ({r 1}^{2})}{2 \cdot 9.81}

Go Angular Velocity of Vortex using Depth of Parabola

ω = \sqrt{\frac{Z \cdot 2 \cdot 9.81}{{r 1}^{2}}}

How to Evaluate Actual Discharge in Venturimeter?

Actual Discharge in Venturimeter evaluator uses Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter)) to evaluate the Actual Discharge through Venturimeter, The Actual Discharge in Venturimeter formula gives the discharge under ideal conditions. The cross-sectional area one and two are at the inlet and throat based on the instrument used for the practical application of Bernoulli's equation. Actual Discharge through Venturimeter is denoted by Q_a symbol.

How to evaluate Actual Discharge in Venturimeter using this online evaluator? To use this online evaluator for Actual Discharge in Venturimeter, enter Coefficient of Discharge of Venturimeter (C'_d), Cross Section Area of Venturimeter Inlet (A₁), Cross Section Area of Venturimeter Throat (A₂) & Net Head of Liquid in Venturimeter (h_v) and hit the calculate button.

FAQs on Actual Discharge in Venturimeter

What is the formula to find Actual Discharge in Venturimeter?

The formula of Actual Discharge in Venturimeter is expressed as Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter)). Here is an example- 0.057377 = 0.94*((0.0314*0.00785)/(sqrt((0.0314^2)-(0.00785^2)))*sqrt(2*[g]*2.89)).

How to calculate Actual Discharge in Venturimeter?

With Coefficient of Discharge of Venturimeter (C'_d), Cross Section Area of Venturimeter Inlet (A₁), Cross Section Area of Venturimeter Throat (A₂) & Net Head of Liquid in Venturimeter (h_v) we can find Actual Discharge in Venturimeter using the formula - Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Actual Discharge in Venturimeter be negative?

No, the Actual Discharge in Venturimeter, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Actual Discharge in Venturimeter?

Actual Discharge in Venturimeter is usually measured using the Cubic Centimeter per Second[cm³/s] for Volumetric Flow Rate. Cubic Meter per Second[cm³/s], Cubic Meter per Day[cm³/s], Cubic Meter per Hour[cm³/s] are the few other units in which Actual Discharge in Venturimeter can be measured.

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Actual Discharge in Venturimeter Formula

Actual Discharge in Venturimeter Example

Actual Discharge in Venturimeter Solution

Actual Discharge in Venturimeter Formula Elements

Other formulas in Kinematics of Flow category

How to Evaluate Actual Discharge in Venturimeter?

FAQs on Actual Discharge in Venturimeter

Variable Name