Vorticity Calculator

✖Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid.ⓘ Circulation [Γ]			+10% -10%
✖Area of fluid is the amount of two-dimensional space taken up by an object.ⓘ Area of fluid [A]			+10% -10%

✖Vorticity is a pseudovector field that describes the local spinning motion of a continuum near some point.ⓘ Vorticity [Ω]

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Formula

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Vorticity

Formula

`"Ω" = "Γ"/"A"`

Example

`"0.163636/s"="9m²/s"/"55m²"`

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Vorticity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vorticity = Circulation/Area of fluid
Ω = Γ/A
This formula uses 3 Variables

Variables Used

Vorticity - (Measured in 1 per Second) - Vorticity is a pseudovector field that describes the local spinning motion of a continuum near some point.
Circulation - (Measured in Square Meter per Second) - Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid.
Area of fluid - (Measured in Square Meter) - Area of fluid is the amount of two-dimensional space taken up by an object.

STEP 1: Convert Input(s) to Base Unit

Circulation: 9 Square Meter per Second --> 9 Square Meter per Second No Conversion Required
Area of fluid: 55 Square Meter --> 55 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω = Γ/A --> 9/55

Evaluating ... ...

Ω = 0.163636363636364

STEP 3: Convert Result to Output's Unit

0.163636363636364 1 per Second --> No Conversion Required

FINAL ANSWER

0.163636363636364 ≈ 0.163636 1 per Second <-- Vorticity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Introduction to Fluid Mechanics Basics » Fluid Mechanics Basics » Vorticity

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 14 Fluid Mechanics Basics Calculators

Equation of Continuity for Compressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density 2)/(Cross-Sectional Area at Point 1*Density 1)

Equation of Continuity for Incompressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1

Cavitation Number

Go Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)

Turbulence

Go Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity

Unstable Equilibrium of Floating Body

Go Metacentric Height = Distance between Point B and G-Distance between Point B and M

Knudsen Number

Go Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow

Kinematic Viscosity

Go Kinematic Viscosity of Liquid = Dynamic Viscosity of Fluid/Mass Density

Stagnation Pressure Head

Go Stagnation Pressure Head = Static Pressure Head+Dynamic Pressure Head

Weight Density given Specific Weight

Go Weight Density = Specific Weight/Acceleration due to Gravity

Weight

Go Weight of Body = Mass*Acceleration due to Gravity

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Vorticity

Go Vorticity = Circulation/Area of fluid

Specific Volume

Go Specific Volume = Volume/Mass

Sensitivity of Inclined Manometer

Go Sensitivity = 1/sin(Angle)

Vorticity Formula

Vorticity = Circulation/Area of fluid
Ω = Γ/A

Define vorticity?

Vorticity is mathematically defined as the curl of the velocity field and is hence a measure of local rotation of the fluid. This definition makes it a vector quantity. vorticity is a pseudovector field that describes the local spinning motion of a continuum near some point.

How to Calculate Vorticity?

Vorticity calculator uses Vorticity = Circulation/Area of fluid to calculate the Vorticity, Vorticity is a pseudovector field that describes the local spinning motion of a continuum near some point. Vorticity is denoted by Ω symbol.

How to calculate Vorticity using this online calculator? To use this online calculator for Vorticity, enter Circulation (Γ) & Area of fluid (A) and hit the calculate button. Here is how the Vorticity calculation can be explained with given input values -> 0.163636 = 9/55.

FAQ

What is Vorticity?

Vorticity is a pseudovector field that describes the local spinning motion of a continuum near some point and is represented as Ω = Γ/A or Vorticity = Circulation/Area of fluid. Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid & Area of fluid is the amount of two-dimensional space taken up by an object.

How to calculate Vorticity?

Vorticity is a pseudovector field that describes the local spinning motion of a continuum near some point is calculated using Vorticity = Circulation/Area of fluid. To calculate Vorticity, you need Circulation (Γ) & Area of fluid (A). With our tool, you need to enter the respective value for Circulation & Area of fluid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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