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Stream Function for Uniform Incompressible Flow Formula

GoStream Function for Uniform Incompressible Flow in Polar Coordinates 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 y

ψ - Stream Function?V_∞ - Freestream Velocity?y - Distance on Y-Axis?

Stream Function for Uniform Incompressible Flow Example

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

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

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

37.12 = 6.4 \cdot 5.8

37.12m²/s = 6.4m/s \cdot 5.8m

37.12 = 6.4 \cdot 5.8

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Stream Function for Uniform Incompressible Flow Solution

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

FIRST Step Consider the formula

ψ = V ∞ \cdot y

Next Step Substitute values of Variables

∴

ψ = 6.4m/s \cdot 5.8m

Next Step Prepare to Evaluate

∴

ψ = 6.4 \cdot 5.8

LAST Step Evaluate

∴

ψ = 37.12m²/s

Stream Function for Uniform Incompressible Flow Formula Elements

Variables

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

Distance on Y-Axis

Distance on Y-Axis is the distance of point measured along y-axis from origin.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance on Y-Axis

Other Formulas to find Stream Function

Go Stream Function for Uniform Incompressible Flow in Polar Coordinates

ψ = V ∞ \cdot r \cdot \sin (θ)

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?

Stream Function for Uniform Incompressible Flow evaluator uses Stream Function = Freestream Velocity*Distance on Y-Axis to evaluate the Stream Function, The Stream Function for Uniform Incompressible Flow states that the stream function is directly proportional to the distance from the flow axis and the velocity of the flow, this implies that the value of the stream function increases linearly with distance from the flow axis, reflecting the uniform nature of the flow. Stream Function is denoted by ψ symbol.

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

FAQs on Stream Function for Uniform Incompressible Flow

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

The formula of Stream Function for Uniform Incompressible Flow is expressed as Stream Function = Freestream Velocity*Distance on Y-Axis. Here is an example- 394.4 = 6.4*5.8.

How to calculate Stream Function for Uniform Incompressible Flow?

With Freestream Velocity (V_∞) & Distance on Y-Axis (y) we can find Stream Function for Uniform Incompressible Flow using the formula - Stream Function = Freestream Velocity*Distance on Y-Axis.

What are the other ways to Calculate Stream Function?

Here are the different ways to Calculate Stream Function-

Stream Function=Freestream Velocity*Radial Coordinate*sin(Polar Angle)

Can the Stream Function for Uniform Incompressible Flow be negative?

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

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

Stream Function 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 Stream Function for Uniform Incompressible Flow can be measured.

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Stream Function for Uniform Incompressible Flow Formula

​GoStream Function for Uniform Incompressible Flow in Polar Coordinates Formula

Stream Function for Uniform Incompressible Flow Example

Stream Function for Uniform Incompressible Flow Solution

Stream Function for Uniform Incompressible Flow Formula Elements

Other Formulas to find Stream Function

Other formulas in Uniform Flow category

How to Evaluate Stream Function for Uniform Incompressible Flow?

FAQs on Stream Function for Uniform Incompressible Flow

Variable Name

GoStream Function for Uniform Incompressible Flow in Polar Coordinates Formula