Volumetric Flow Rate at Vena Contracta Calculator

✖Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Area of Jet at Vena Contracta is the point in a fluid stream.ⓘ Area of Jet at Vena Contracta [A_vena]			+10% -10%
✖Head is defined as the height of water columns.ⓘ Head [H_w]			+10% -10%

✖Volumetric Flow Rate is the volume of fluid which passes per unit time.ⓘ Volumetric Flow Rate at Vena Contracta [V_f]

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Formula

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Volumetric Flow Rate at Vena Contracta

Formula

`"V"_{"f"} = "C"_{"d"}*"A"_{"vena"}*sqrt(2*"[g]"*"H"_{"w"})`

Example

`"30.01237m³/s"="0.66"*"6.43m²"*sqrt(2*"[g]"*"2.55m")`

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Volumetric Flow Rate at Vena Contracta Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)
V_f = C_d*A_vena*sqrt(2*[g]*H_w)
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

Volumetric Flow Rate - (Measured in Cubic Meter per Second) - Volumetric Flow Rate is the volume of fluid which passes per unit time.
Coefficient of Discharge - Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Area of Jet at Vena Contracta - (Measured in Square Meter) - Area of Jet at Vena Contracta is the point in a fluid stream.
Head - (Measured in Meter) - Head is defined as the height of water columns.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.66 --> No Conversion Required
Area of Jet at Vena Contracta: 6.43 Square Meter --> 6.43 Square Meter No Conversion Required
Head: 2.55 Meter --> 2.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = C_d*A_vena*sqrt(2*[g]*H_w) --> 0.66*6.43*sqrt(2*[g]*2.55)

Evaluating ... ...

V_f = 30.0123729302082

STEP 3: Convert Result to Output's Unit

30.0123729302082 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

30.0123729302082 ≈ 30.01237 Cubic Meter per Second <-- Volumetric Flow Rate

(Calculation completed in 00.004 seconds)

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< 8 Flow Rate Calculators

Volumetric Flow Rate of Venacontracta given Contraction and Velocity

Go Volumetric Flow Rate = Coefficient of Contraction*Coefficient of Velocity*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)

Rate of Flow given Head loss in Laminar Flow

Go Rate of Flow = Head Loss of Fluid*Specific Weight*pi*(Diameter of Pipe^4)/(128*Viscous Force*Length of Pipe)

Volumetric Flow Rate of Rectangular Notch

Go Volumetric Flow Rate = 0.62*Thickness of Dam*Head of Water above Sill of Notch*2/3*sqrt(2*[g]*Head)

Volumetric Flow Rate at Vena Contracta

Go Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)

Rate of Flow given Hydraulic Transmission Power

Go Rate of Flow = Power/(Specific Weight of Liquid*(Total Head at Entrance-Head Loss of Fluid))

Volumetric Flow Rate of Circular Orifice

Go Volumetric Flow Rate = 0.62*Area of Orifice*sqrt(2*[g]*Head)

Rate of Flow

Go Rate of Flow = Cross-Sectional Area*Average Velocity

Volumetric Flow Rate of Triangular Right Angled Notch

Go Volumetric Flow Rate = 2.635*Head of Water above Sill of Notch^(5/2)

Volumetric Flow Rate at Vena Contracta Formula

Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)
V_f = C_d*A_vena*sqrt(2*[g]*H_w)

What is meant by vena contracta?

Vena contracta is the point in a fluid stream where the diameter of the stream is the least, and fluid velocity is at its maximum.

Why vena contracta is formed?

The reason for the phenomenon vena contracta is that the fluid streamline cannot abruptly change direction, streamlines are unable to closely follow the sharp angles in orifice, nozzle, and pipe. When fluid passes through the orifice, the gradual contraction of fluid takes place.

How to Calculate Volumetric Flow Rate at Vena Contracta?

Volumetric Flow Rate at Vena Contracta calculator uses Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head) to calculate 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 calculate Volumetric Flow Rate at Vena Contracta using this online calculator? To use this online calculator for Volumetric Flow Rate at Vena Contracta, enter Coefficient of Discharge (C_d), Area of Jet at Vena Contracta (A_vena) & Head (H_w) and hit the calculate button. Here is how the Volumetric Flow Rate at Vena Contracta calculation can be explained with given input values -> 30.01237 = 0.66*6.43*sqrt(2*[g]*2.55).

FAQ

What is Volumetric Flow Rate at Vena Contracta?

The Volumetric flow rate at vena contracta formula is defined as the volume of fluid that passes per unit time and is represented as V_f = C_d*A_vena*sqrt(2*[g]*H_w) or Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head). Coefficient of Discharge is ratio of actual discharge to theoretical discharge, Area of Jet at Vena Contracta is the point in a fluid stream & Head is defined as the height of water columns.

How to calculate Volumetric Flow Rate at Vena Contracta?

The Volumetric flow rate at vena contracta formula is defined as the volume of fluid that passes per unit time is calculated using Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head). To calculate Volumetric Flow Rate at Vena Contracta, you need Coefficient of Discharge (C_d), Area of Jet at Vena Contracta (A_vena) & Head (H_w). With our tool, you need to enter the respective value for Coefficient of Discharge, Area of Jet at Vena Contracta & Head 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 Volumetric Flow Rate?

In this formula, Volumetric Flow Rate uses Coefficient of Discharge, Area of Jet at Vena Contracta & Head. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)
Volumetric Flow Rate = Coefficient of Contraction*Coefficient of Velocity*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)

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