## 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
-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
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## < 14 Ideal flow or Potential flow Calculators

Uniform flow velocity for stream function at point in combined flow
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
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
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
Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2)))
Strength of doublet for stream function
Strength of Doublet = -(Stream function*2*pi*((Length x^2)+(Length y^2)))/Length y
Uniform flow velocity for Rankine half body
Uniform Flow Velocity = (Strength of Source/(2*Length y))*(1-(Angle A/pi))
Dimensions of Rankine half-body
Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi))
Strength of source for Rankine half body
Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi))
Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))
Distance of stagnation point S from source in flow past half body
Radial Distance = Strength of Source/(2*pi*Uniform Flow Velocity)
Stream function in sink flow for angle
Stream function = (Strength of Source/(2*pi))*(Angle A)

## 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) Let Others Know