Stagnation Streamline Equation for Flow over Semi-Infinite Body Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stream Function = 0.5*Source Strength
ψ = 0.5*Λ
This formula uses 2 Variables
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.
Source Strength - (Measured in Square Meter per Second) - Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point.
STEP 1: Convert Input(s) to Base Unit
Source Strength: 134 Square Meter per Second --> 134 Square Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ψ = 0.5*Λ --> 0.5*134
Evaluating ... ...
ψ = 67
STEP 3: Convert Result to Output's Unit
67 Square Meter per Second --> No Conversion Required
FINAL ANSWER
67 Square Meter per Second <-- Stream Function
(Calculation completed in 00.006 seconds)

Credits

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Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Source Flow Calculators

Velocity Potential for 2-D Source Flow
​ LaTeX ​ Go Velocity Potential = Source Strength/(2*pi)*ln(Radial Coordinate)
Radial Velocity for 2-D Incompressible Source Flow
​ LaTeX ​ Go Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate)
Stream Function for 2-D Incompressible Source Flow
​ LaTeX ​ Go Source Stream Function = Source Strength/(2*pi)*Polar Angle
Source Strength for 2-D Incompressible Source Flow
​ LaTeX ​ Go Source Strength = 2*pi*Radial Coordinate*Radial Velocity

Stagnation Streamline Equation for Flow over Semi-Infinite Body Formula

​LaTeX ​Go
Stream Function = 0.5*Source Strength
ψ = 0.5*Λ

What is stagnation streamline?

The stagnation streamline is the streamline that passes through the stagnation point and it is obtained by substituting the stagnation point coordinate into the stream function.

How to Calculate Stagnation Streamline Equation for Flow over Semi-Infinite Body?

Stagnation Streamline Equation for Flow over Semi-Infinite Body calculator uses Stream Function = 0.5*Source Strength to calculate the Stream Function, The Stagnation Streamline Equation for Flow over Semi-Infinite Body is the streamline where the flow velocity becomes zero (stagnates) due to the presence of the body, this streamline is often of particular interest because it indicates the point of maximum pressure on the body's surface. Stream Function is denoted by ψ symbol.

How to calculate Stagnation Streamline Equation for Flow over Semi-Infinite Body using this online calculator? To use this online calculator for Stagnation Streamline Equation for Flow over Semi-Infinite Body, enter Source Strength (Λ) and hit the calculate button. Here is how the Stagnation Streamline Equation for Flow over Semi-Infinite Body calculation can be explained with given input values -> 67 = 0.5*134.

FAQ

What is Stagnation Streamline Equation for Flow over Semi-Infinite Body?
The Stagnation Streamline Equation for Flow over Semi-Infinite Body is the streamline where the flow velocity becomes zero (stagnates) due to the presence of the body, this streamline is often of particular interest because it indicates the point of maximum pressure on the body's surface and is represented as ψ = 0.5*Λ or Stream Function = 0.5*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.
How to calculate Stagnation Streamline Equation for Flow over Semi-Infinite Body?
The Stagnation Streamline Equation for Flow over Semi-Infinite Body is the streamline where the flow velocity becomes zero (stagnates) due to the presence of the body, this streamline is often of particular interest because it indicates the point of maximum pressure on the body's surface is calculated using Stream Function = 0.5*Source Strength. To calculate Stagnation Streamline Equation for Flow over Semi-Infinite Body, you need Source Strength (Λ). With our tool, you need to enter the respective value for Source Strength 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 Source Strength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+Source Strength/(2*pi)*Polar Angle
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