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Source Strength for 2-D Incompressible Source Flow Formula

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Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point. Check FAQs

Λ = 2 \cdot π \cdot r \cdot V r

Λ - Source Strength?r - Radial Coordinate?V_r - Radial Velocity?π - Archimedes' constant?

Source Strength for 2-D Incompressible Source Flow Example

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Here is how the Source Strength for 2-D Incompressible Source Flow equation looks like with Values.

Here is how the Source Strength for 2-D Incompressible Source Flow equation looks like with Units.

Here is how the Source Strength for 2-D Incompressible Source Flow equation looks like.

133.4549 = 2 \cdot 3.1416 \cdot 9 \cdot 2.36

133.4549m²/s = 2 \cdot 3.1416 \cdot 9m \cdot 2.36m/s

133.4549 = 2 \cdot 3.1416 \cdot 9 \cdot 2.36

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Source Strength for 2-D Incompressible Source Flow Solution

Follow our step by step solution on how to calculate Source Strength for 2-D Incompressible Source Flow?

FIRST Step Consider the formula

Λ = 2 \cdot π \cdot r \cdot V r

Next Step Substitute values of Variables

∴

Λ = 2 \cdot π \cdot 9m \cdot 2.36m/s

Next Step Substitute values of Constants

∴

Λ = 2 \cdot 3.1416 \cdot 9m \cdot 2.36m/s

Next Step Prepare to Evaluate

∴

Λ = 2 \cdot 3.1416 \cdot 9 \cdot 2.36

Next Step Evaluate

∴

Λ = 133.454855924494m²/s

LAST Step Rounding Answer

∴

Λ = 133.4549m²/s

Source Strength for 2-D Incompressible Source Flow Formula Elements

Variables

Constants

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.

Symbol: Λ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Source Strength

Radial Coordinate

Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Coordinate

Radial Velocity

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.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Radial Velocity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Source Flow category

Go Velocity Potential for 2-D Source Flow

ϕ = \frac{Λ}{2 \cdot π} \cdot \ln (r)

Go Radial Velocity for 2-D Incompressible Source Flow

V r = \frac{Λ}{2 \cdot π \cdot r}

Go Stream Function for 2-D Incompressible Source Flow

ψ source = \frac{Λ}{2 \cdot π} \cdot θ

Go Stagnation Streamline Equation for Flow over Semi-Infinite Body

ψ = 0.5 \cdot Λ

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

Source Strength for 2-D Incompressible Source Flow evaluator uses Source Strength = 2*pi*Radial Coordinate*Radial Velocity to evaluate 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 evaluate Source Strength for 2-D Incompressible Source Flow using this online evaluator? To use this online evaluator for Source Strength for 2-D Incompressible Source Flow, enter Radial Coordinate (r) & Radial Velocity (V_r) and hit the calculate button.

FAQs on Source Strength for 2-D Incompressible Source Flow

What is the formula to find Source Strength for 2-D Incompressible Source Flow?

The formula of Source Strength for 2-D Incompressible Source Flow is expressed as Source Strength = 2*pi*Radial Coordinate*Radial Velocity. Here is an example- 133.4549 = 2*pi*9*2.36.

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

With Radial Coordinate (r) & Radial Velocity (V_r) we can find Source Strength for 2-D Incompressible Source Flow using the formula - Source Strength = 2*pi*Radial Coordinate*Radial Velocity. This formula also uses Archimedes' constant .

Can the Source Strength for 2-D Incompressible Source Flow be negative?

Yes, the Source Strength for 2-D Incompressible Source Flow, measured in Velocity Potential can be negative.

Which unit is used to measure Source Strength for 2-D Incompressible Source Flow?

Source Strength for 2-D Incompressible Source Flow is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Source Strength for 2-D Incompressible Source Flow can be measured.

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