Strength of doublet for stream function Calculator

✖The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.ⓘ Stream Function [ψ]			+10% -10%
✖Length X is simply the distance from the origin to the x coordinate.ⓘ Length X [x]			+10% -10%
✖Length Y is the vertical distance from the origin to the y coordinate.ⓘ Length Y [y]			+10% -10%

✖The Strength of doublet is considered in the potential flow.ⓘ Strength of doublet for stream function [µ]

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Formula

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Strength of doublet for stream function

Formula

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

Example

7.027247 m²/s = - \frac{-2.00 m²/s \cdot 2 \cdot π \cdot (({0.21 m}^{2}) + ({0.095 m}^{2}))}{0.095 m}

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Strength of doublet for stream function Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Stream Function: -2 Square Meter per Second --> -2 Square Meter per Second No Conversion Required
Length X: 0.21 Meter --> 0.21 Meter No Conversion Required
Length Y: 0.095 Meter --> 0.095 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

µ = -(ψ*2*pi*((x^2)+(y^2)))/y --> -((-2)*2*pi*((0.21^2)+(0.095^2)))/0.095

Evaluating ... ...

µ = 7.02724672513506

STEP 3: Convert Result to Output's Unit

7.02724672513506 Square Meter per Second --> No Conversion Required

FINAL ANSWER

7.02724672513506 ≈ 7.027247 Square Meter per Second <-- Strength of Doublet

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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

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< Incompressible Flow Characteristics Calculators

Stream function at point

Go Stream Function = -(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2)))

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

Strength of doublet for stream function Formula

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

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 Strength of doublet for stream function?

Strength of doublet for stream function calculator uses Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length Y^2)))/Length Y to calculate the Strength of Doublet, Strength of doublet for stream function represents the magnitude or intensity of the doublet source or sink. It determines how strong the doublet is in terms of its effect on the flow field, particularly in generating or influencing streamlines around itself. Strength of Doublet is denoted by µ symbol.

How to calculate Strength of doublet for stream function using this online calculator? To use this online calculator for Strength of doublet for stream function, enter Stream Function (ψ), Length X (x) & Length Y (y) and hit the calculate button. Here is how the Strength of doublet for stream function calculation can be explained with given input values -> 7.027247 = -((-2)*2*pi*((0.21^2)+(0.095^2)))/0.095.

FAQ

What is Strength of doublet for stream function?

Strength of doublet for stream function represents the magnitude or intensity of the doublet source or sink. It determines how strong the doublet is in terms of its effect on the flow field, particularly in generating or influencing streamlines around itself and is represented as µ = -(ψ*2*pi*((x^2)+(y^2)))/y or Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length Y^2)))/Length Y. The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line, Length X is simply the distance from the origin to the x coordinate & Length Y is the vertical distance from the origin to the y coordinate.

How to calculate Strength of doublet for stream function?

Strength of doublet for stream function represents the magnitude or intensity of the doublet source or sink. It determines how strong the doublet is in terms of its effect on the flow field, particularly in generating or influencing streamlines around itself is calculated using Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length Y^2)))/Length Y. To calculate Strength of doublet for stream function, you need Stream Function (ψ), Length X (x) & Length Y (y). With our tool, you need to enter the respective value for Stream Function, Length X & Length Y and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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