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*Acceleration due to Gravity*Head)
V = Cd*Avena*sqrt(2*g*Hw)
This formula uses 1 Functions, 5 Variables
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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: 0.611 Square Meter --> 0.611 Square Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Head: 2.55 Meter --> 2.55 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Cd*Avena*sqrt(2*g*Hw) --> 0.66*0.611*sqrt(2*9.8*2.55)
Evaluating ... ...
V = 2.85090845301072
STEP 3: Convert Result to Output's Unit
2.85090845301072 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
2.85090845301072 2.850908 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*Acceleration due to Gravity*Head)
Rate of Flow given Head loss in Laminar Flow
Go Rate of Flow = Head Loss*Specific Weight*pi*(Pipe Diameter^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*Acceleration due to Gravity*Head)
Volumetric Flow Rate at Vena Contracta
Go Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*Acceleration due to Gravity*Head)
Volumetric Flow Rate of Circular Orifice
Go Volumetric Flow Rate = 0.62*Area of Orifice*sqrt(2*Acceleration due to Gravity*Head)
Rate of Flow given Hydraulic Transmission Power
Go Rate of Flow = Power/(Specific Weight of Liquid*(Total Head at Entrance-Head Loss))
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*Acceleration due to Gravity*Head)
V = Cd*Avena*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*Acceleration due to Gravity*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 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 (Avena), Acceleration due to Gravity (g) & 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 -> 2.850908 = 0.66*0.611*sqrt(2*9.8*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 = Cd*Avena*sqrt(2*g*Hw) or Volumetric Flow Rate = Coefficient of Discharge*Area of Jet at Vena Contracta*sqrt(2*Acceleration due to Gravity*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, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & 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*Acceleration due to Gravity*Head). To calculate Volumetric Flow Rate at Vena Contracta, you need Coefficient of Discharge (Cd), Area of Jet at Vena Contracta (Avena), Acceleration due to Gravity (g) & Head (Hw). With our tool, you need to enter the respective value for Coefficient of Discharge, Area of Jet at Vena Contracta, Acceleration due to Gravity & 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, Acceleration due to Gravity & 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*Acceleration due to Gravity*Head)
  • Volumetric Flow Rate = 0.62*Thickness of Dam*Head of Water above Sill of Notch*2/3*sqrt(2*Acceleration due to Gravity*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*Acceleration due to Gravity*Head)
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