Source Strength for 2-D Incompressible Source Flow Calculator

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Two-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

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Elementary Flows

Flow and Lift Distribution

Flow over Airfoils and Wings

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✖Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.ⓘ Radial Coordinate [r]			+10% -10%
✖The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.ⓘ Radial Velocity [V_r]			+10% -10%

✖Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point.ⓘ Source Strength for 2-D Incompressible Source Flow [Λ]

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Formula

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Source Strength for 2-D Incompressible Source Flow

Formula

`"Λ" = 2*pi*"r"*"V"_{"r"}`

Example

`"133.4549m²/s"=2*pi*"9m"*"2.36m/s"`

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Source Strength for 2-D Incompressible Source Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Strength = 2*pi*Radial Coordinate*Radial Velocity
Λ = 2*pi*r*V_r
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Radial Coordinate - (Measured in Meter) - Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.
Radial Velocity - (Measured in Meter per Second) - The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

STEP 1: Convert Input(s) to Base Unit

Radial Coordinate: 9 Meter --> 9 Meter No Conversion Required
Radial Velocity: 2.36 Meter per Second --> 2.36 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ = 2*pi*r*V_r --> 2*pi*9*2.36

Evaluating ... ...

Λ = 133.454855924494

STEP 3: Convert Result to Output's Unit

133.454855924494 Square Meter per Second --> No Conversion Required

FINAL ANSWER

133.454855924494 ≈ 133.4549 Square Meter per Second <-- Source Strength

(Calculation completed in 00.004 seconds)

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Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

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

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< 7 Source Flow Calculators

Stream Function for Flow over Rankine Oval

Go Rankine Oval Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+(Source Strength/(2*pi))*(Polar Angle from Source-Polar Angle from Sink)

Stream Function for Semi-Infinite Body

Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+Source Strength/(2*pi)*Polar Angle

Velocity Potential for 2-D Source Flow

Go Velocity Potential = Source Strength/(2*pi)*ln(Radial Coordinate)

Radial Velocity for 2-D Incompressible Source Flow

Go Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate)

Stream Function for 2-D Incompressible Source Flow

Go Source Stream Function = Source Strength/(2*pi)*Polar Angle

Source Strength for 2-D Incompressible Source Flow

Go Source Strength = 2*pi*Radial Coordinate*Radial Velocity

Stagnation Streamline Equation for Flow over Semi-Infinite Body

Go Stream Function = 0.5*Source Strength

Source Strength for 2-D Incompressible Source Flow Formula

Source Strength = 2*pi*Radial Coordinate*Radial Velocity
Λ = 2*pi*r*V_r

What is source flow?

A two-dimensional, incompressible flow where all the streamlines are straight lines emanating from a central point and the velocity along each of the streamlines vary inversely with
distance from the central point. Such a flow is called a source flow. In a source flow, the streamlines are directed away from the origin and tangential velocity is zero.

What is source strength?

Source strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page.

How to Calculate Source Strength for 2-D Incompressible Source Flow?

Source Strength for 2-D Incompressible Source Flow calculator uses Source Strength = 2*pi*Radial Coordinate*Radial Velocity to calculate the Source Strength, The Source Strength for 2-D Incompressible Source Flow represents the rate at which fluid is emanating from the source per unit length in two dimensions, it's a measure of the flow rate per unit length along the line source. Source Strength is denoted by Λ symbol.

How to calculate Source Strength for 2-D Incompressible Source Flow using this online calculator? To use this online calculator for Source Strength for 2-D Incompressible Source Flow, enter Radial Coordinate (r) & Radial Velocity (V_r) and hit the calculate button. Here is how the Source Strength for 2-D Incompressible Source Flow calculation can be explained with given input values -> 133.4549 = 2*pi*9*2.36.

FAQ

What is Source Strength for 2-D Incompressible Source Flow?

The Source Strength for 2-D Incompressible Source Flow represents the rate at which fluid is emanating from the source per unit length in two dimensions, it's a measure of the flow rate per unit length along the line source and is represented as Λ = 2*pi*r*V_r or Source Strength = 2*pi*Radial Coordinate*Radial Velocity. Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin & The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

How to calculate Source Strength for 2-D Incompressible Source Flow?

The Source Strength for 2-D Incompressible Source Flow represents the rate at which fluid is emanating from the source per unit length in two dimensions, it's a measure of the flow rate per unit length along the line source is calculated using Source Strength = 2*pi*Radial Coordinate*Radial Velocity. To calculate Source Strength for 2-D Incompressible Source Flow, you need Radial Coordinate (r) & Radial Velocity (V_r). With our tool, you need to enter the respective value for Radial Coordinate & Radial Velocity 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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