Volumetric Flow Rate of Venacontracta given Contraction and Velocity Calculator

✖The Coefficient of Contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.ⓘ Coefficient of Contraction [C_c]			+10% -10%
✖The Coefficient of Velocity is the ratio of actual velocity to theoretical velocity.ⓘ Coefficient of Velocity [C_v]			+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 of Venacontracta given Contraction and Velocity [V_f]

⎘ Copy

👎

Formula

✖

Volumetric Flow Rate of Venacontracta given Contraction and Velocity

Formula

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

Example

`"30.12151m³/s"="0.72"*"0.92"*"6.43m²"*sqrt(2*"[g]"*"2.55m")`

Calculator

LaTeX

Reset

👍

Download Fluid in Motion Formulas PDF

Volumetric Flow Rate of Venacontracta given Contraction and Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Flow Rate = Coefficient of Contraction*Coefficient of Velocity*Area of Jet at Vena Contracta*sqrt(2*[g]*Head)
V_f = C_c*C_v*A_vena*sqrt(2*[g]*H_w)
This formula uses 1 Constants, 1 Functions, 5 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 Contraction - The Coefficient of Contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.
Coefficient of Velocity - The Coefficient of Velocity is the ratio of actual velocity to theoretical velocity.
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 Contraction: 0.72 --> No Conversion Required
Coefficient of Velocity: 0.92 --> 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_c*C_v*A_vena*sqrt(2*[g]*H_w) --> 0.72*0.92*6.43*sqrt(2*[g]*2.55)

Evaluating ... ...

V_f = 30.1215088317726

STEP 3: Convert Result to Output's Unit

30.1215088317726 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

30.1215088317726 ≈ 30.12151 Cubic Meter per Second <-- Volumetric Flow Rate

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Fluid in Motion » Flow Rate » Volumetric Flow Rate of Venacontracta given Contraction and Velocity

Credits

Created by Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

Shareef Alex has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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 of Venacontracta given Contraction and Velocity Formula

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

What does coefficient of contraction mean?

The coefficient of contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice. ... The typical value may be taken as 0.611 for a sharp orifice (concentric with the flow channel). The smaller the value, the more effect the vena contracta has.

What is the coefficient of velocity?

The ratio of the actual velocity to the theoretical velocity of a fluid jet. The ratio of the actual velocity of gas emerging from a nozzle to the velocity calculated under ideal conditions; it is less than 1 because of friction losses. Also known as coefficient of velocity.

How to Calculate Volumetric Flow Rate of Venacontracta given Contraction and Velocity?

Volumetric Flow Rate of Venacontracta given Contraction and Velocity calculator uses Volumetric Flow Rate = Coefficient of Contraction*Coefficient of Velocity*Area of Jet at Vena Contracta*sqrt(2*[g]*Head) to calculate the Volumetric Flow Rate, The Volumetric Flow Rate of Venacontracta given Contraction and Velocity 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 of Venacontracta given Contraction and Velocity using this online calculator? To use this online calculator for Volumetric Flow Rate of Venacontracta given Contraction and Velocity, enter Coefficient of Contraction (C_c), Coefficient of Velocity (C_v), Area of Jet at Vena Contracta (A_vena) & Head (H_w) and hit the calculate button. Here is how the Volumetric Flow Rate of Venacontracta given Contraction and Velocity calculation can be explained with given input values -> 30.12151 = 0.72*0.92*6.43*sqrt(2*[g]*2.55).

FAQ

What is Volumetric Flow Rate of Venacontracta given Contraction and Velocity?

The Volumetric Flow Rate of Venacontracta given Contraction and Velocity formula is defined as the volume of fluid that passes per unit time and is represented as V_f = C_c*C_v*A_vena*sqrt(2*[g]*H_w) or Volumetric Flow Rate = Coefficient of Contraction*Coefficient of Velocity*Area of Jet at Vena Contracta*sqrt(2*[g]*Head). The Coefficient of Contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice, The Coefficient of Velocity is the ratio of actual velocity to theoretical velocity, 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 of Venacontracta given Contraction and Velocity?

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

Home

FREE PDFs

🔍 Search