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Stream Function for Uniform Incompressible Flow in Polar Coordinates Formula

GoStream Function for Uniform Incompressible Flow Formula

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The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line. Check FAQs

ψ = V ∞ \cdot r \cdot \sin (θ)

ψ - Stream Function?V_∞ - Freestream Velocity?r - Radial Coordinate?θ - Polar Angle?

Stream Function for Uniform Incompressible Flow in Polar Coordinates Example

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

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

Here is how the Stream Function for Uniform Incompressible Flow in Polar Coordinates equation looks like.

37.1069 = 6.4 \cdot 9 \cdot \sin (0.7)

37.1069m²/s = 6.4m/s \cdot 9m \cdot \sin (0.7rad)

37.1069 = 6.4 \cdot 9 \cdot \sin (0.7)

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Stream Function for Uniform Incompressible Flow in Polar Coordinates Solution

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

FIRST Step Consider the formula

ψ = V ∞ \cdot r \cdot \sin (θ)

Next Step Substitute values of Variables

∴

ψ = 6.4m/s \cdot 9m \cdot \sin (0.7rad)

Next Step Prepare to Evaluate

∴

ψ = 6.4 \cdot 9 \cdot \sin (0.7)

Next Step Evaluate

∴

ψ = 37.106938784891m²/s

LAST Step Rounding Answer

∴

ψ = 37.1069m²/s

Stream Function for Uniform Incompressible Flow in Polar Coordinates Formula Elements

Variables

Functions

Stream Function

The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.

Symbol: ψ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Stream Function

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Stream Function

Go Stream Function for Uniform Incompressible Flow

ψ = V ∞ \cdot y

Other formulas in Uniform Flow category

Go Velocity Potential for Uniform Incompressible Flow

ϕ = V ∞ \cdot x

Go Velocity Potential for Uniform Incompressible Flow in Polar Coordinates

ϕ = V ∞ \cdot r \cdot \cos (θ)

How to Evaluate Stream Function for Uniform Incompressible Flow in Polar Coordinates?

Stream Function for Uniform Incompressible Flow in Polar Coordinates evaluator uses Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle) to evaluate the Stream Function, The Stream Function for Uniform Incompressible Flow in Polar Coordinates represents a linear increase in the streamlines with radial distance from the origin, it characterizes the flow field where fluid particles move uniformly in one direction without rotation or swirl. Stream Function is denoted by ψ symbol.

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

FAQs on Stream Function for Uniform Incompressible Flow in Polar Coordinates

What is the formula to find Stream Function for Uniform Incompressible Flow in Polar Coordinates?

The formula of Stream Function for Uniform Incompressible Flow in Polar Coordinates is expressed as Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle). Here is an example- 394.2612 = 6.4*9*sin(0.7).

How to calculate Stream Function for Uniform Incompressible Flow in Polar Coordinates?

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

What are the other ways to Calculate Stream Function?

Here are the different ways to Calculate Stream Function-

Stream Function=Freestream Velocity*Distance on Y-Axis

Can the Stream Function for Uniform Incompressible Flow in Polar Coordinates be negative?

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

Which unit is used to measure Stream Function for Uniform Incompressible Flow in Polar Coordinates?

Stream Function 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 Stream Function for Uniform Incompressible Flow in Polar Coordinates can be measured.

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Stream Function for Uniform Incompressible Flow in Polar Coordinates Formula

​GoStream Function for Uniform Incompressible Flow Formula

Stream Function for Uniform Incompressible Flow in Polar Coordinates Example

Stream Function for Uniform Incompressible Flow in Polar Coordinates Solution

Stream Function for Uniform Incompressible Flow in Polar Coordinates Formula Elements

Other Formulas to find Stream Function

Other formulas in Uniform Flow category

How to Evaluate Stream Function for Uniform Incompressible Flow in Polar Coordinates?

FAQs on Stream Function for Uniform Incompressible Flow in Polar Coordinates

Variable Name

GoStream Function for Uniform Incompressible Flow Formula