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Source Strength for 3D Incompressible Source Flow given Radial Velocity Formula

GoSource Strength for 3D Incompressible Source Flow given Velocity Potential Formula

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

Λ = 4 \cdot π \cdot V r \cdot r^{2}

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

Source Strength for 3D Incompressible Source Flow given Radial Velocity Example

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Here is how the Source Strength for 3D Incompressible Source Flow given Radial Velocity equation looks like with Values.

Here is how the Source Strength for 3D Incompressible Source Flow given Radial Velocity equation looks like with Units.

Here is how the Source Strength for 3D Incompressible Source Flow given Radial Velocity equation looks like.

277.202 = 4 \cdot 3.1416 \cdot 2.9 \cdot {2.758}^{2}

277.202m²/s = 4 \cdot 3.1416 \cdot 2.9m/s \cdot {2.758m}^{2}

277.202 = 4 \cdot 3.1416 \cdot 2.9 \cdot {2.758}^{2}

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Source Strength for 3D Incompressible Source Flow given Radial Velocity Solution

Follow our step by step solution on how to calculate Source Strength for 3D Incompressible Source Flow given Radial Velocity?

FIRST Step Consider the formula

Λ = 4 \cdot π \cdot V r \cdot r^{2}

Next Step Substitute values of Variables

∴

Λ = 4 \cdot π \cdot 2.9m/s \cdot {2.758m}^{2}

Next Step Substitute values of Constants

∴

Λ = 4 \cdot 3.1416 \cdot 2.9m/s \cdot {2.758m}^{2}

Next Step Prepare to Evaluate

∴

Λ = 4 \cdot 3.1416 \cdot 2.9 \cdot {2.758}^{2}

Next Step Evaluate

∴

Λ = 277.202016744943m²/s

LAST Step Rounding Answer

∴

Λ = 277.202m²/s

Source Strength for 3D Incompressible Source Flow given Radial Velocity Formula Elements

Variables

Constants

Source Strength

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

Symbol: Λ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Source Strength

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

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

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 to find Source Strength

Go Source Strength for 3D Incompressible Source Flow given Velocity Potential

Λ = - 4 \cdot π \cdot ϕ s \cdot r

Other formulas in 3D Elementry Flows category

Go Radial Velocity for 3D Incompressible Source Flow

V r = \frac{Λ}{4 \cdot π \cdot r^{2}}

Go Radial Coordinate for 3D Source Flow given Radial Velocity

r = \sqrt{\frac{Λ}{4 \cdot π \cdot V r}}

Go Velocity Potential for 3D Incompressible Source Flow

ϕ s = - \frac{Λ}{4 \cdot π \cdot r}

Go Radial Coordinate for 3D Source Flow given Velocity Potential

r = - \frac{Λ}{4 \cdot π \cdot ϕ s}

How to Evaluate Source Strength for 3D Incompressible Source Flow given Radial Velocity?

Source Strength for 3D Incompressible Source Flow given Radial Velocity evaluator uses Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2 to evaluate the Source Strength, The Source Strength for 3D Incompressible Source Flow given Radial Velocity formula calculates the strength of the source when the radial velocity of the 3D incompressible flow is given. Source Strength is denoted by Λ symbol.

How to evaluate Source Strength for 3D Incompressible Source Flow given Radial Velocity using this online evaluator? To use this online evaluator for Source Strength for 3D Incompressible Source Flow given Radial Velocity, enter Radial Velocity (V_r) & Radial Coordinate (r) and hit the calculate button.

FAQs on Source Strength for 3D Incompressible Source Flow given Radial Velocity

What is the formula to find Source Strength for 3D Incompressible Source Flow given Radial Velocity?

The formula of Source Strength for 3D Incompressible Source Flow given Radial Velocity is expressed as Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2. Here is an example- 277.202 = 4*pi*2.9*2.758^2.

How to calculate Source Strength for 3D Incompressible Source Flow given Radial Velocity?

With Radial Velocity (V_r) & Radial Coordinate (r) we can find Source Strength for 3D Incompressible Source Flow given Radial Velocity using the formula - Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Source Strength?

Here are the different ways to Calculate Source Strength-

Source Strength=-4*pi*Source Velocity Potential*Radial Coordinate

Can the Source Strength for 3D Incompressible Source Flow given Radial Velocity be negative?

Yes, the Source Strength for 3D Incompressible Source Flow given Radial Velocity, measured in Velocity Potential can be negative.

Which unit is used to measure Source Strength for 3D Incompressible Source Flow given Radial Velocity?

Source Strength for 3D Incompressible Source Flow given Radial Velocity is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Source Strength for 3D Incompressible Source Flow given Radial Velocity can be measured.

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