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Stream Function for Semi-Infinite Body Formula

GoStagnation Streamline Equation for Flow over Semi-Infinite Body 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) + \frac{Λ}{2 \cdot π} \cdot θ

ψ - Stream Function?V_∞ - Freestream Velocity?r - Radial Coordinate?θ - Polar Angle?Λ - Source Strength?π - Archimedes' constant?

Stream Function for Semi-Infinite Body Example

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Here is how the Stream Function for Semi-Infinite Body equation looks like with Values.

Here is how the Stream Function for Semi-Infinite Body equation looks like with Units.

Here is how the Stream Function for Semi-Infinite Body equation looks like.

52.0357 = 6.4 \cdot 9 \cdot \sin (0.7) + \frac{134}{2 \cdot 3.1416} \cdot 0.7

52.0357m²/s = 6.4m/s \cdot 9m \cdot \sin (0.7rad) + \frac{134m²/s}{2 \cdot 3.1416} \cdot 0.7rad

52.0357 = 6.4 \cdot 9 \cdot \sin (0.7) + \frac{134}{2 \cdot 3.1416} \cdot 0.7

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Stream Function for Semi-Infinite Body Solution

Follow our step by step solution on how to calculate Stream Function for Semi-Infinite Body?

FIRST Step Consider the formula

ψ = V ∞ \cdot r \cdot \sin (θ) + \frac{Λ}{2 \cdot π} \cdot θ

Next Step Substitute values of Variables

∴

ψ = 6.4m/s \cdot 9m \cdot \sin (0.7rad) + \frac{134m²/s}{2 \cdot π} \cdot 0.7rad

Next Step Substitute values of Constants

∴

ψ = 6.4m/s \cdot 9m \cdot \sin (0.7rad) + \frac{134m²/s}{2 \cdot 3.1416} \cdot 0.7rad

Next Step Prepare to Evaluate

∴

ψ = 6.4 \cdot 9 \cdot \sin (0.7) + \frac{134}{2 \cdot 3.1416} \cdot 0.7

Next Step Evaluate

∴

ψ = 52.0356724469108m²/s

LAST Step Rounding Answer

∴

ψ = 52.0357m²/s

Stream Function for Semi-Infinite Body Formula Elements

Variables

Constants

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

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

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

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 Stagnation Streamline Equation for Flow over Semi-Infinite Body

ψ = 0.5 \cdot Λ

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 Stream Function for 2-D Incompressible Source Flow

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

How to Evaluate Stream Function for Semi-Infinite Body?

Stream Function for Semi-Infinite Body evaluator uses Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+Source Strength/(2*pi)*Polar Angle to evaluate the Stream Function, The Stream Function for Semi-Infinite Body is a scalar function that describes the flow field in potential flow theory, it provides a mathematical representation of the flow pattern particularly around solid bodies or obstacles. it captures the influence of the body's geometry and the incoming flow direction. Stream Function is denoted by ψ symbol.

How to evaluate Stream Function for Semi-Infinite Body using this online evaluator? To use this online evaluator for Stream Function for Semi-Infinite Body, enter Freestream Velocity (V_∞), Radial Coordinate (r), Polar Angle (θ) & Source Strength (Λ) and hit the calculate button.

FAQs on Stream Function for Semi-Infinite Body

What is the formula to find Stream Function for Semi-Infinite Body?

The formula of Stream Function for Semi-Infinite Body is expressed as Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+Source Strength/(2*pi)*Polar Angle. Here is an example- 409.19 = 6.4*9*sin(0.7)+134/(2*pi)*0.7.

How to calculate Stream Function for Semi-Infinite Body?

With Freestream Velocity (V_∞), Radial Coordinate (r), Polar Angle (θ) & Source Strength (Λ) we can find Stream Function for Semi-Infinite Body using the formula - Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+Source Strength/(2*pi)*Polar Angle. This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Stream Function?

Here are the different ways to Calculate Stream Function-

Stream Function=0.5*Source Strength

Can the Stream Function for Semi-Infinite Body be negative?

Yes, the Stream Function for Semi-Infinite Body, measured in Velocity Potential can be negative.

Which unit is used to measure Stream Function for Semi-Infinite Body?

Stream Function for Semi-Infinite Body is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Stream Function for Semi-Infinite Body can be measured.

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Stream Function for Semi-Infinite Body Formula

​GoStagnation Streamline Equation for Flow over Semi-Infinite Body Formula

Stream Function for Semi-Infinite Body Example

Stream Function for Semi-Infinite Body Solution

Stream Function for Semi-Infinite Body Formula Elements

Other Formulas to find Stream Function

Other formulas in Source Flow category

How to Evaluate Stream Function for Semi-Infinite Body?

FAQs on Stream Function for Semi-Infinite Body

Variable Name

GoStagnation Streamline Equation for Flow over Semi-Infinite Body Formula