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)
Vf = Cd*Avc*sqrt(2*[g]*Hw)
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
Vf = Cd*Avc*sqrt(2*[g]*Hw) --> 0.66*6.43*sqrt(2*[g]*2.55)
Evaluating ... ...
Vf = 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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Flow Rate Calculators

Volumetric Flow Rate of Rectangular Notch
​ LaTeX ​ 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
​ LaTeX ​ Go Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)
Volumetric Flow Rate of Circular Orifice
​ LaTeX ​ Go Volumetric Flow Rate = 0.62*Area of Orifice*sqrt(2*[g]*Head)
Volumetric Flow Rate of Triangular Right Angled Notch
​ LaTeX ​ Go Volumetric Flow Rate = 2.635*Head of Water Above Sill of Notch^(5/2)

Volumetric Flow Rate at Vena Contracta Formula

​LaTeX ​Go
Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)
Vf = Cd*Avc*sqrt(2*[g]*Hw)

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 Vf 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 (Cd), Area of Jet at Vena Contracta (Avc) & Head (Hw) 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 Vf = Cd*Avc*sqrt(2*[g]*Hw) 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 (Cd), Area of Jet at Vena Contracta (Avc) & Head (Hw). 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 3 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)
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