FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Velocity Potential for 2-D Vortex Flow Formula

Fx Copy

LaTeX Copy

Velocity Potential is a scalar function whose gradient gives velocity. Check FAQs

ϕ = - (\frac{γ}{2 \cdot π}) \cdot θ

ϕ - Velocity Potential?γ - Vortex Strength?θ - Polar Angle?π - Archimedes' constant?

Velocity Potential for 2-D Vortex Flow Example

With values

With units

Only example

Here is how the Velocity Potential for 2-D Vortex Flow equation looks like with Values.

Here is how the Velocity Potential for 2-D Vortex Flow equation looks like with Units.

Here is how the Velocity Potential for 2-D Vortex Flow equation looks like.

46.7916 = - (\frac{-420}{2 \cdot 3.1416}) \cdot 0.7

46.7916m²/s = - (\frac{-420m²/s}{2 \cdot 3.1416}) \cdot 0.7rad

46.7916 = - (\frac{-420}{2 \cdot 3.1416}) \cdot 0.7

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Aerospace » Category

Aerodynamics » fx Velocity Potential for 2-D Vortex Flow

Velocity Potential for 2-D Vortex Flow Solution

Follow our step by step solution on how to calculate Velocity Potential for 2-D Vortex Flow?

FIRST Step Consider the formula

ϕ = - (\frac{γ}{2 \cdot π}) \cdot θ

Next Step Substitute values of Variables

∴

ϕ = - (\frac{-420m²/s}{2 \cdot π}) \cdot 0.7rad

Next Step Substitute values of Constants

∴

ϕ = - (\frac{-420m²/s}{2 \cdot 3.1416}) \cdot 0.7rad

Next Step Prepare to Evaluate

∴

ϕ = - (\frac{-420}{2 \cdot 3.1416}) \cdot 0.7

Next Step Evaluate

∴

ϕ = 46.7915532690172m²/s

LAST Step Rounding Answer

∴

ϕ = 46.7916m²/s

Velocity Potential for 2-D Vortex Flow Formula Elements

Variables

Constants

Velocity Potential

Velocity Potential is a scalar function whose gradient gives velocity.

Symbol: ϕ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Velocity Potential

Vortex Strength

Vortex Strength measure of the intensity or magnitude of a vortex, such as in fluid dynamics. A vortex is a region within a fluid where the flow revolves around an axis line.

Symbol: γ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Vortex Strength

Polar Angle

Polar Angle is the angular position of a point from a reference direction.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Polar Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Vortex Flow category

Go Tangential Velocity for 2-D Vortex Flow

V θ = - \frac{γ}{2 \cdot π \cdot r}

Go Stream Function for 2-D Vortex Flow

ψ vortex = \frac{γ}{2 \cdot π} \cdot \ln (r)

How to Evaluate Velocity Potential for 2-D Vortex Flow?

Velocity Potential for 2-D Vortex Flow evaluator uses Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle to evaluate the Velocity Potential, The Velocity Potential for 2-D Vortex Flow formula is defined as the function of polar angle and strength of the vortex flow, it describes the flow induced by a vortex, where the velocity potential decreases linearly with the angular coordinate . Velocity Potential is denoted by ϕ symbol.

How to evaluate Velocity Potential for 2-D Vortex Flow using this online evaluator? To use this online evaluator for Velocity Potential for 2-D Vortex Flow, enter Vortex Strength (γ) & Polar Angle (θ) and hit the calculate button.

FAQs on Velocity Potential for 2-D Vortex Flow

What is the formula to find Velocity Potential for 2-D Vortex Flow?

The formula of Velocity Potential for 2-D Vortex Flow is expressed as Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle. Here is an example- 11.92071 = -((-420)/(2*pi))*0.7.

How to calculate Velocity Potential for 2-D Vortex Flow?

With Vortex Strength (γ) & Polar Angle (θ) we can find Velocity Potential for 2-D Vortex Flow using the formula - Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle. This formula also uses Archimedes' constant .

Can the Velocity Potential for 2-D Vortex Flow be negative?

Yes, the Velocity Potential for 2-D Vortex Flow, measured in Velocity Potential can be negative.

Which unit is used to measure Velocity Potential for 2-D Vortex Flow?

Velocity Potential for 2-D Vortex Flow is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Velocity Potential for 2-D Vortex Flow can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Velocity Potential for 2-D Vortex Flow Formula

Velocity Potential for 2-D Vortex Flow Example

Velocity Potential for 2-D Vortex Flow Solution

Velocity Potential for 2-D Vortex Flow Formula Elements

Other formulas in Vortex Flow category

How to Evaluate Velocity Potential for 2-D Vortex Flow?

FAQs on Velocity Potential for 2-D Vortex Flow

Variable Name