Stream function at point Calculator

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✖The Strength of doublet is considered in the potential flow.ⓘ Strength of Doublet [µ]			+10% -10%
✖Length y is the vertical distance from the origin to the y coordinate.ⓘ Length y [y]			+10% -10%
✖Length x is simply the distance from the origin to the x coordinate.ⓘ Length x [x]			+10% -10%

✖The Stream function is defined as the quantity of fluid moving across some convenient imaginary line.ⓘ Stream function at point [ψ]

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Formula

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Stream function at point

Formula

`"ψ" = -("µ"/(2*pi))*("y"/(("x"^2)+("y"^2)))`

Example

`"-7.345613m²/s"=-("20m²/s"/(2*pi))*(("0.3m")/((("0.2m")^2)+(("0.3m")^2)))`

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Stream function at point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2)))
ψ = -(µ/(2*pi))*(y/((x^2)+(y^2)))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Stream function - (Measured in Square Meter per Second) - The Stream function is defined as the quantity of fluid moving across some convenient imaginary line.
Strength of Doublet - (Measured in Square Meter per Second) - The Strength of doublet is considered in the potential flow.
Length y - (Measured in Meter) - Length y is the vertical distance from the origin to the y coordinate.
Length x - (Measured in Meter) - Length x is simply the distance from the origin to the x coordinate.

STEP 1: Convert Input(s) to Base Unit

Strength of Doublet: 20 Square Meter per Second --> 20 Square Meter per Second No Conversion Required
Length y: 0.3 Meter --> 0.3 Meter No Conversion Required
Length x: 0.2 Meter --> 0.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = -(µ/(2*pi))*(y/((x^2)+(y^2))) --> -(20/(2*pi))*(0.3/((0.2^2)+(0.3^2)))

Evaluating ... ...

ψ = -7.34561275808748

STEP 3: Convert Result to Output's Unit

-7.34561275808748 Square Meter per Second --> No Conversion Required

FINAL ANSWER

-7.34561275808748 Square Meter per Second <-- Stream function

(Calculation completed in 00.000 seconds)

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Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 14 Ideal flow or Potential flow Calculators

Uniform flow velocity for stream function at point in combined flow

Go Uniform Flow Velocity = (Stream function-(Strength of Source/(2*pi*Angle A)))/(Distance from end A*sin(Angle A))

Stream Function at Point in Combined Flow

Go Stream function = (Uniform Flow Velocity*Distance from end A*sin(Angle A))+((Strength of Source/(2*pi))*Angle A)

Location of stagnation point on x-axis

Go Distance of Stagnation Point = Distance from end A*sqrt((1+(Strength of Source/(pi*Distance from end A*Uniform Flow Velocity))))

Stream function at point

Go Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2)))

Strength of doublet for stream function

Go Strength of Doublet = -(Stream function*2*pi*((Length x^2)+(Length y^2)))/Length y

Uniform flow velocity for Rankine half body

Go Uniform Flow Velocity = (Strength of Source/(2*Length y))*(1-(Angle A/pi))

Dimensions of Rankine half-body

Go Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi))

Strength of source for Rankine half body

Go Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi))

Radius of Rankine circle

Go Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))

Distance of stagnation point S from source in flow past half body

Go Radial Distance = Strength of Source/(2*pi*Uniform Flow Velocity)

Stream function in sink flow for angle

Go Stream function = (Strength of Source/(2*pi))*(Angle A)

Radius at any point considering radial velocity

Go Radius 1 = Strength of Source/(2*pi*Radial Velocity)

Radial velocity at any radius

Go Radial Velocity = Strength of Source/(2*pi*Radius 1)

Strength of source for radial velocity and at any radius

Go Strength of Source = Radial Velocity*2*pi*Radius 1

Stream function at point Formula

Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2)))
ψ = -(µ/(2*pi))*(y/((x^2)+(y^2)))

What is stream function?

A family of curves ψ = constant represents "streamlines," hence, the stream function remains constant along a streamline. The stream function represents a particular case of a vector potential of velocity, related to velocity by the equality.

What is doublet?

The doublet consists of a source and sink of momentum located in close proximity to one another. The analytical solution to the doublet was shown to be: where φ is the velocity potential and ψ is the stream function.

How to Calculate Stream function at point?

Stream function at point calculator uses Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2))) to calculate the Stream function, Stream function at point formula is known in considering strength of doublet and point situated in fluid flow. Stream function is denoted by ψ symbol.

How to calculate Stream function at point using this online calculator? To use this online calculator for Stream function at point, enter Strength of Doublet (µ), Length y (y) & Length x (x) and hit the calculate button. Here is how the Stream function at point calculation can be explained with given input values -> -7.345613 = -(20/(2*pi))*(0.3/((0.2^2)+(0.3^2))).

FAQ

What is Stream function at point?

Stream function at point formula is known in considering strength of doublet and point situated in fluid flow and is represented as ψ = -(µ/(2*pi))*(y/((x^2)+(y^2))) or Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2))). The Strength of doublet is considered in the potential flow, Length y is the vertical distance from the origin to the y coordinate & Length x is simply the distance from the origin to the x coordinate.

How to calculate Stream function at point?

Stream function at point formula is known in considering strength of doublet and point situated in fluid flow is calculated using Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2))). To calculate Stream function at point, you need Strength of Doublet (µ), Length y (y) & Length x (x). With our tool, you need to enter the respective value for Strength of Doublet, Length y & Length x and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stream function?

In this formula, Stream function uses Strength of Doublet, Length y & Length x. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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