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Velocity Potential for Uniform Incompressible Flow Formula

GoVelocity Potential for Uniform Incompressible Flow in Polar Coordinates Formula

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

ϕ = V ∞ \cdot x

ϕ - Velocity Potential?V_∞ - Freestream Velocity?x - Distance on X-Axis?

Velocity Potential for Uniform Incompressible Flow Example

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Here is how the Velocity Potential for Uniform Incompressible Flow equation looks like with Values.

Here is how the Velocity Potential for Uniform Incompressible Flow equation looks like with Units.

Here is how the Velocity Potential for Uniform Incompressible Flow equation looks like.

37.248 = 6.4 \cdot 5.82

37.248m²/s = 6.4m/s \cdot 5.82m

37.248 = 6.4 \cdot 5.82

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Velocity Potential for Uniform Incompressible Flow Solution

Follow our step by step solution on how to calculate Velocity Potential for Uniform Incompressible Flow?

FIRST Step Consider the formula

ϕ = V ∞ \cdot x

Next Step Substitute values of Variables

∴

ϕ = 6.4m/s \cdot 5.82m

Next Step Prepare to Evaluate

∴

ϕ = 6.4 \cdot 5.82

LAST Step Evaluate

∴

ϕ = 37.248m²/s

Velocity Potential for Uniform Incompressible Flow Formula Elements

Variables

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

Freestream Velocity

The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Distance on X-Axis

Distance on X-Axis is the distance of point measured along x-axis form origin.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance on X-Axis

Other Formulas to find Velocity Potential

Go Velocity Potential for Uniform Incompressible Flow in Polar Coordinates

ϕ = V ∞ \cdot r \cdot \cos (θ)

Other formulas in Uniform Flow category

Go Stream Function for Uniform Incompressible Flow

ψ = V ∞ \cdot y

Go Stream Function for Uniform Incompressible Flow in Polar Coordinates

ψ = V ∞ \cdot r \cdot \sin (θ)

How to Evaluate Velocity Potential for Uniform Incompressible Flow?

Velocity Potential for Uniform Incompressible Flow evaluator uses Velocity Potential = Freestream Velocity*Distance on X-Axis to evaluate the Velocity Potential, The Velocity Potential for Uniform Incompressible Flow function (ϕ) increases linearly with distance in the direction of flow (x), reflecting the uniform nature of the flow. Consequently, there is no variation of velocity potential concerning the y-coordinate, illustrating the flow's homogeneity in the y-direction. Velocity Potential is denoted by ϕ symbol.

How to evaluate Velocity Potential for Uniform Incompressible Flow using this online evaluator? To use this online evaluator for Velocity Potential for Uniform Incompressible Flow, enter Freestream Velocity (V_∞) & Distance on X-Axis (x) and hit the calculate button.

FAQs on Velocity Potential for Uniform Incompressible Flow

What is the formula to find Velocity Potential for Uniform Incompressible Flow?

The formula of Velocity Potential for Uniform Incompressible Flow is expressed as Velocity Potential = Freestream Velocity*Distance on X-Axis. Here is an example- 395.76 = 6.4*5.82.

How to calculate Velocity Potential for Uniform Incompressible Flow?

With Freestream Velocity (V_∞) & Distance on X-Axis (x) we can find Velocity Potential for Uniform Incompressible Flow using the formula - Velocity Potential = Freestream Velocity*Distance on X-Axis.

What are the other ways to Calculate Velocity Potential?

Here are the different ways to Calculate Velocity Potential-

Velocity Potential=Freestream Velocity*Radial Coordinate*cos(Polar Angle)

Can the Velocity Potential for Uniform Incompressible Flow be negative?

Yes, the Velocity Potential for Uniform Incompressible Flow, measured in Velocity Potential can be negative.

Which unit is used to measure Velocity Potential for Uniform Incompressible Flow?

Velocity Potential for Uniform Incompressible 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 Uniform Incompressible Flow can be measured.

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Velocity Potential for Uniform Incompressible Flow Formula

​GoVelocity Potential for Uniform Incompressible Flow in Polar Coordinates Formula

Velocity Potential for Uniform Incompressible Flow Example

Velocity Potential for Uniform Incompressible Flow Solution

Velocity Potential for Uniform Incompressible Flow Formula Elements

Other Formulas to find Velocity Potential

Other formulas in Uniform Flow category

How to Evaluate Velocity Potential for Uniform Incompressible Flow?

FAQs on Velocity Potential for Uniform Incompressible Flow

Variable Name

GoVelocity Potential for Uniform Incompressible Flow in Polar Coordinates Formula