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Volumetric Flow Rate at Vena Contracta Formula

GoVolumetric Flow Rate of Circular Orifice Formula

GoVolumetric Flow Rate of Rectangular Notch Formula

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Volumetric Flow Rate is the volume of fluid which passes per unit time. Check FAQs

V f = C d \cdot A vc \cdot \sqrt{2 \cdot [g] \cdot H w}

V_f - Volumetric Flow Rate?C_d - Coefficient of Discharge?A_vc - Area of Jet at Vena Contracta?H_w - Head?[g] - Gravitational acceleration on Earth?

Volumetric Flow Rate at Vena Contracta Example

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Here is how the Volumetric Flow Rate at Vena Contracta equation looks like with Values.

Here is how the Volumetric Flow Rate at Vena Contracta equation looks like with Units.

Here is how the Volumetric Flow Rate at Vena Contracta equation looks like.

30.0124 = 0.66 \cdot 6.43 \cdot \sqrt{2 \cdot 9.8066 \cdot 2.55}

30.0124m³/s = 0.66 \cdot 6.43m² \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 2.55m}

30.0124 = 0.66 \cdot 6.43 \cdot \sqrt{2 \cdot 9.8066 \cdot 2.55}

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Volumetric Flow Rate at Vena Contracta Solution

Follow our step by step solution on how to calculate Volumetric Flow Rate at Vena Contracta?

FIRST Step Consider the formula

V f = C d \cdot A vc \cdot \sqrt{2 \cdot [g] \cdot H w}

Next Step Substitute values of Variables

∴

V f = 0.66 \cdot 6.43m² \cdot \sqrt{2 \cdot [g] \cdot 2.55m}

Next Step Substitute values of Constants

∴

V f = 0.66 \cdot 6.43m² \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 2.55m}

Next Step Prepare to Evaluate

∴

V f = 0.66 \cdot 6.43 \cdot \sqrt{2 \cdot 9.8066 \cdot 2.55}

Next Step Evaluate

∴

V f = 30.0123729302082m³/s

LAST Step Rounding Answer

∴

V f = 30.0124m³/s

Volumetric Flow Rate at Vena Contracta Formula Elements

Variables

Constants

Functions

Volumetric Flow Rate

Volumetric Flow Rate is the volume of fluid which passes per unit time.

Symbol: V_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volumetric Flow Rate

Coefficient of Discharge

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

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Discharge

Area of Jet at Vena Contracta

Area of Jet at Vena Contracta is the point in a fluid stream.

Symbol: A_vc

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Jet at Vena Contracta

Head

Head is defined as the height of water columns.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head

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 Volumetric Flow Rate

Go Volumetric Flow Rate of Circular Orifice

V f = 0.62 \cdot a \cdot \sqrt{2 \cdot [g] \cdot H w}

Go Volumetric Flow Rate of Rectangular Notch

V f = 0.62 \cdot b \cdot H \cdot \frac{2}{3} \cdot \sqrt{2 \cdot [g] \cdot H w}

Go Volumetric Flow Rate of Triangular Right Angled Notch

V f = 2.635 \cdot H^{\frac{5}{2}}

Go Volumetric Flow Rate of Venacontracta given Contraction and Velocity

V f = C c \cdot C v \cdot A vc \cdot \sqrt{2 \cdot [g] \cdot H w}

Other formulas in Flow Rate category

Go Rate of Flow

Q f = A \cdot V avg

Go Rate of Flow given Head loss in Laminar Flow

Q f = h l \cdot γ f \cdot π \cdot \frac{{d p}^{4}}{128 \cdot μ \cdot L p}

Go Rate of Flow given Hydraulic Transmission Power

Q f = \frac{P}{γ l \cdot (H e - h l)}

How to Evaluate Volumetric Flow Rate at Vena Contracta?

Volumetric Flow Rate at Vena Contracta evaluator uses Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head) to evaluate the Volumetric Flow Rate, The Volumetric flow rate at vena contracta formula is defined as the volume of fluid that passes per unit time. Volumetric Flow Rate is denoted by V_f symbol.

How to evaluate Volumetric Flow Rate at Vena Contracta using this online evaluator? To use this online evaluator for Volumetric Flow Rate at Vena Contracta, enter Coefficient of Discharge (C_d), Area of Jet at Vena Contracta (A_vc) & Head (H_w) and hit the calculate button.

FAQs on Volumetric Flow Rate at Vena Contracta

What is the formula to find Volumetric Flow Rate at Vena Contracta?

The formula of Volumetric Flow Rate at Vena Contracta is expressed as Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head). Here is an example- 30.01237 = 0.66*6.43*sqrt(2*[g]*2.55).

How to calculate Volumetric Flow Rate at Vena Contracta?

With Coefficient of Discharge (C_d), Area of Jet at Vena Contracta (A_vc) & Head (H_w) we can find Volumetric Flow Rate at Vena Contracta using the formula - Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Volumetric Flow Rate?

Here are the different ways to Calculate Volumetric Flow Rate-

Volumetric Flow Rate=0.62*Area of Orifice*sqrt(2*[g]*Head)
Volumetric Flow Rate=0.62*Thickness of Dam*Head of Water Above Sill of Notch*2/3*sqrt(2*[g]*Head)
Volumetric Flow Rate=2.635*Head of Water Above Sill of Notch^(5/2)

Can the Volumetric Flow Rate at Vena Contracta be negative?

No, the Volumetric Flow Rate at Vena Contracta, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Volumetric Flow Rate at Vena Contracta?

Volumetric Flow Rate at Vena Contracta 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 Volumetric Flow Rate at Vena Contracta can be measured.

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