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Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Formula

GoVelocity Potential for Uniform Incompressible Flow Formula

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

ϕ = V ∞ \cdot r \cdot \cos (θ)

ϕ - Velocity Potential?V_∞ - Freestream Velocity?r - Radial Coordinate?θ - Polar Angle?

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Example

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

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

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

44.0549 = 6.4 \cdot 9 \cdot \cos (0.7)

44.0549m²/s = 6.4m/s \cdot 9m \cdot \cos (0.7rad)

44.0549 = 6.4 \cdot 9 \cdot \cos (0.7)

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Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Solution

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

FIRST Step Consider the formula

ϕ = V ∞ \cdot r \cdot \cos (θ)

Next Step Substitute values of Variables

∴

ϕ = 6.4m/s \cdot 9m \cdot \cos (0.7rad)

Next Step Prepare to Evaluate

∴

ϕ = 6.4 \cdot 9 \cdot \cos (0.7)

Next Step Evaluate

∴

ϕ = 44.0549099875865m²/s

LAST Step Rounding Answer

∴

ϕ = 44.0549m²/s

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Formula Elements

Variables

Functions

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

Radial Coordinate

Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Coordinate

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Velocity Potential

Go Velocity Potential for Uniform Incompressible Flow

ϕ = V ∞ \cdot x

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 in Polar Coordinates?

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates evaluator uses Velocity Potential = Freestream Velocity*Radial Coordinate*cos(Polar Angle) to evaluate the Velocity Potential, The Velocity Potential for Uniform Incompressible Flow in Polar Coordinates states that the function is directly proportional to the radial distance from the origin (r) and the cosine of the angular coordinate (θ), scaled by the velocity of the flow (U). This implies that the value of the velocity potential function increases linearly with radial distance from the origin and varies with the angle's cosine, reflecting the flow's uniform nature and its dependency on the angular direction. Velocity Potential is denoted by ϕ symbol.

How to evaluate Velocity Potential for Uniform Incompressible Flow in Polar Coordinates using this online evaluator? To use this online evaluator for Velocity Potential for Uniform Incompressible Flow in Polar Coordinates, enter Freestream Velocity (V_∞), Radial Coordinate (r) & Polar Angle (θ) and hit the calculate button.

FAQs on Velocity Potential for Uniform Incompressible Flow in Polar Coordinates

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

The formula of Velocity Potential for Uniform Incompressible Flow in Polar Coordinates is expressed as Velocity Potential = Freestream Velocity*Radial Coordinate*cos(Polar Angle). Here is an example- 468.0834 = 6.4*9*cos(0.7).

How to calculate Velocity Potential for Uniform Incompressible Flow in Polar Coordinates?

With Freestream Velocity (V_∞), Radial Coordinate (r) & Polar Angle (θ) we can find Velocity Potential for Uniform Incompressible Flow in Polar Coordinates using the formula - Velocity Potential = Freestream Velocity*Radial Coordinate*cos(Polar Angle). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Velocity Potential?

Here are the different ways to Calculate Velocity Potential-

Velocity Potential=Freestream Velocity*Distance on X-Axis

Can the Velocity Potential for Uniform Incompressible Flow in Polar Coordinates be negative?

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

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

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates 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 in Polar Coordinates can be measured.

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Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Formula

​GoVelocity Potential for Uniform Incompressible Flow Formula

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Example

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Solution

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates Formula Elements

Other Formulas to find Velocity Potential

Other formulas in Uniform Flow category

How to Evaluate Velocity Potential for Uniform Incompressible Flow in Polar Coordinates?

FAQs on Velocity Potential for Uniform Incompressible Flow in Polar Coordinates

Variable Name

GoVelocity Potential for Uniform Incompressible Flow Formula