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Stream Function for 2-D Incompressible Source Flow Formula

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

ψ source = \frac{Λ}{2 \cdot π} \cdot θ

ψ_source - Source Stream Function?Λ - Source Strength?θ - Polar Angle?π - Archimedes' constant?

Stream Function for 2-D Incompressible Source Flow Example

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Here is how the Stream Function for 2-D Incompressible Source Flow equation looks like with Values.

Here is how the Stream Function for 2-D Incompressible Source Flow equation looks like with Units.

Here is how the Stream Function for 2-D Incompressible Source Flow equation looks like.

14.9287 = \frac{134}{2 \cdot 3.1416} \cdot 0.7

14.9287m²/s = \frac{134m²/s}{2 \cdot 3.1416} \cdot 0.7rad

14.9287 = \frac{134}{2 \cdot 3.1416} \cdot 0.7

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Stream Function for 2-D Incompressible Source Flow Solution

Follow our step by step solution on how to calculate Stream Function for 2-D Incompressible Source Flow?

FIRST Step Consider the formula

ψ source = \frac{Λ}{2 \cdot π} \cdot θ

Next Step Substitute values of Variables

∴

ψ source = \frac{134m²/s}{2 \cdot π} \cdot 0.7rad

Next Step Substitute values of Constants

∴

ψ source = \frac{134m²/s}{2 \cdot 3.1416} \cdot 0.7rad

Next Step Prepare to Evaluate

∴

ψ source = \frac{134}{2 \cdot 3.1416} \cdot 0.7

Next Step Evaluate

∴

ψ source = 14.9287336620198m²/s

LAST Step Rounding Answer

∴

ψ source = 14.9287m²/s

Stream Function for 2-D Incompressible Source Flow Formula Elements

Variables

Constants

Source Stream Function

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

Symbol: ψ_source

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Source Stream Function

Source Strength

Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point.

Symbol: Λ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Source 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 Source Flow category

Go Velocity Potential for 2-D Source Flow

ϕ = \frac{Λ}{2 \cdot π} \cdot \ln (r)

Go Radial Velocity for 2-D Incompressible Source Flow

V r = \frac{Λ}{2 \cdot π \cdot r}

Go Source Strength for 2-D Incompressible Source Flow

Λ = 2 \cdot π \cdot r \cdot V r

Go Stagnation Streamline Equation for Flow over Semi-Infinite Body

ψ = 0.5 \cdot Λ

How to Evaluate Stream Function for 2-D Incompressible Source Flow?

Stream Function for 2-D Incompressible Source Flow evaluator uses Source Stream Function = Source Strength/(2*pi)*Polar Angle to evaluate the Source Stream Function, Stream Function for 2-D Incompressible Source Flow formula states that the function is directly proportional to the polar angle and the strength of the source, this implies that the streamlines, lines along which the stream function is constant, are radial lines emanating from the source point, with the density of streamlines increasing with strength of source. Source Stream Function is denoted by ψ_source symbol.

How to evaluate Stream Function for 2-D Incompressible Source Flow using this online evaluator? To use this online evaluator for Stream Function for 2-D Incompressible Source Flow, enter Source Strength (Λ) & Polar Angle (θ) and hit the calculate button.

FAQs on Stream Function for 2-D Incompressible Source Flow

What is the formula to find Stream Function for 2-D Incompressible Source Flow?

The formula of Stream Function for 2-D Incompressible Source Flow is expressed as Source Stream Function = Source Strength/(2*pi)*Polar Angle. Here is an example- 11.58648 = 134/(2*pi)*0.7.

How to calculate Stream Function for 2-D Incompressible Source Flow?

With Source Strength (Λ) & Polar Angle (θ) we can find Stream Function for 2-D Incompressible Source Flow using the formula - Source Stream Function = Source Strength/(2*pi)*Polar Angle. This formula also uses Archimedes' constant .

Can the Stream Function for 2-D Incompressible Source Flow be negative?

Yes, the Stream Function for 2-D Incompressible Source Flow, measured in Velocity Potential can be negative.

Which unit is used to measure Stream Function for 2-D Incompressible Source Flow?

Stream Function for 2-D Incompressible Source 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 2-D Incompressible Source Flow can be measured.

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Stream Function for 2-D Incompressible Source Flow Formula

Stream Function for 2-D Incompressible Source Flow Example

Stream Function for 2-D Incompressible Source Flow Solution

Stream Function for 2-D Incompressible Source Flow Formula Elements

Other formulas in Source Flow category

How to Evaluate Stream Function for 2-D Incompressible Source Flow?

FAQs on Stream Function for 2-D Incompressible Source Flow

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