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Stream function at point Formula

GoStream Function at Point in Combined Flow Formula

GoStream function in sink flow for angle Formula

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

ψ = - (\frac{µ}{2 \cdot π}) \cdot (\frac{y}{(x^{2}) + (y^{2})})

ψ - Stream Function?µ - Strength of Doublet?y - Length Y?x - Length X?π - Archimedes' constant?

Stream function at point Example

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Here is how the Stream function at point equation looks like with Values.

Here is how the Stream function at point equation looks like with Units.

Here is how the Stream function at point equation looks like.

-1.9922 = - (\frac{7}{2 \cdot 3.1416}) \cdot (\frac{0.095}{({0.21}^{2}) + ({0.095}^{2})})

-1.9922m²/s = - (\frac{7m²/s}{2 \cdot 3.1416}) \cdot (\frac{0.095m}{({0.21m}^{2}) + ({0.095m}^{2})})

-1.9922 = - (\frac{7}{2 \cdot 3.1416}) \cdot (\frac{0.095}{({0.21}^{2}) + ({0.095}^{2})})

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Stream function at point Solution

Follow our step by step solution on how to calculate Stream function at point?

FIRST Step Consider the formula

ψ = - (\frac{µ}{2 \cdot π}) \cdot (\frac{y}{(x^{2}) + (y^{2})})

Next Step Substitute values of Variables

∴

ψ = - (\frac{7m²/s}{2 \cdot π}) \cdot (\frac{0.095m}{({0.21m}^{2}) + ({0.095m}^{2})})

Next Step Substitute values of Constants

∴

ψ = - (\frac{7m²/s}{2 \cdot 3.1416}) \cdot (\frac{0.095m}{({0.21m}^{2}) + ({0.095m}^{2})})

Next Step Prepare to Evaluate

∴

ψ = - (\frac{7}{2 \cdot 3.1416}) \cdot (\frac{0.095}{({0.21}^{2}) + ({0.095}^{2})})

Next Step Evaluate

∴

ψ = -1.99224540529149m²/s

LAST Step Rounding Answer

∴

ψ = -1.9922m²/s

Stream function at point Formula Elements

Variables

Constants

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

Strength of Doublet

The Strength of doublet is considered in the potential flow.

Symbol: µ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Strength of Doublet

Length Y

Length Y is the vertical distance from the origin to the y coordinate.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length Y

Length X

Length X is simply the distance from the origin to the x coordinate.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length X

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 to find Stream Function

Go Stream Function at Point in Combined Flow

ψ = (U \cdot a' \cdot \sin (∠A)) + (\frac{q}{2 \cdot π} \cdot ∠A)

Go Stream function in sink flow for angle

ψ = \frac{q}{2 \cdot π} \cdot ∠A

Other formulas in Incompressible Flow Characteristics category

Go Radial velocity at any radius

V r = \frac{q}{2 \cdot π \cdot r 1}

Go Strength of source for radial velocity and at any radius

q = V r \cdot 2 \cdot π \cdot r 1

Go Radius at any point considering radial velocity

r 1 = \frac{q}{2 \cdot π \cdot V r}

Go Strength of doublet for stream function

µ = - \frac{ψ \cdot 2 \cdot π \cdot ((x^{2}) + (y^{2}))}{y}

How to Evaluate Stream function at point?

Stream function at point evaluator uses Stream Function = -(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2))) to evaluate the Stream Function, Stream function at point in a flow field provides a constant value along a streamline, helping to visualize the flow pattern without needing specific equations. Stream Function is denoted by ψ symbol.

How to evaluate Stream function at point using this online evaluator? To use this online evaluator for Stream function at point, enter Strength of Doublet (µ), Length Y (y) & Length X (x) and hit the calculate button.

FAQs on Stream function at point

What is the formula to find Stream function at point?

The formula of Stream function at point is expressed as Stream Function = -(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2))). Here is an example- -2.846065 = -(7/(2*pi))*(0.095/((0.21^2)+(0.095^2))).

How to calculate Stream function at point?

With Strength of Doublet (µ), Length Y (y) & Length X (x) we can find Stream function at point using the formula - Stream Function = -(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Stream Function?

Here are the different ways to Calculate Stream Function-

Stream Function=(Uniform Flow Velocity*Distance From End A*sin(Angle A))+(Strength of Source/(2*pi)*Angle A)
Stream Function=Strength of Source/(2*pi)*Angle A

Can the Stream function at point be negative?

Yes, the Stream function at point, measured in Velocity Potential can be negative.

Which unit is used to measure Stream function at point?

Stream function at point is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Stream function at point can be measured.

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Stream function at point Formula

​GoStream Function at Point in Combined Flow Formula

​GoStream function in sink flow for angle Formula

Stream function at point Example

Stream function at point Solution

Stream function at point Formula Elements

Other Formulas to find Stream Function

Other formulas in Incompressible Flow Characteristics category

How to Evaluate Stream function at point?

FAQs on Stream function at point

Variable Name

GoStream Function at Point in Combined Flow Formula

GoStream function in sink flow for angle Formula