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

GoSource Strength for 3D Incompressible Source Flow given Radial Velocity 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 ϕ s \cdot r

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

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

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

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

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

277.2644 = - 4 \cdot 3.1416 \cdot -8 \cdot 2.758

277.2644m²/s = - 4 \cdot 3.1416 \cdot -8m²/s \cdot 2.758m

277.2644 = - 4 \cdot 3.1416 \cdot -8 \cdot 2.758

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

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

FIRST Step Consider the formula

Λ = - 4 \cdot π \cdot ϕ s \cdot r

Next Step Substitute values of Variables

∴

Λ = - 4 \cdot π \cdot -8m²/s \cdot 2.758m

Next Step Substitute values of Constants

∴

Λ = - 4 \cdot 3.1416 \cdot -8m²/s \cdot 2.758m

Next Step Prepare to Evaluate

∴

Λ = - 4 \cdot 3.1416 \cdot -8 \cdot 2.758

Next Step Evaluate

∴

Λ = 277.264401235221m²/s

LAST Step Rounding Answer

∴

Λ = 277.2644m²/s

Source Strength for 3D Incompressible Source Flow given Velocity Potential 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

Source Velocity Potential

Source Velocity Potential is the potential of a source, which is a scalar function whose gradient gives velocity.

Symbol: ϕ_s

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Source Velocity Potential

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 Radial Velocity

Λ = 4 \cdot π \cdot V r \cdot r^{2}

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 Velocity Potential?

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

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

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

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

The formula of Source Strength for 3D Incompressible Source Flow given Velocity Potential is expressed as Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate. Here is an example- 277.2644 = -4*pi*(-8)*2.758.

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

With Source Velocity Potential (ϕ_s) & Radial Coordinate (r) we can find Source Strength for 3D Incompressible Source Flow given Velocity Potential using the formula - Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate. 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*Radial Velocity*Radial Coordinate^2

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

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

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

Source Strength for 3D Incompressible Source Flow given Velocity Potential 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 Velocity Potential can be measured.

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