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Velocity Potential for 3D Incompressible Source Flow Formula

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

ϕ s = - \frac{Λ}{4 \cdot π \cdot r}

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

Velocity Potential for 3D Incompressible Source Flow Example

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

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

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

-7.9924 = - \frac{277}{4 \cdot 3.1416 \cdot 2.758}

-7.9924m²/s = - \frac{277m²/s}{4 \cdot 3.1416 \cdot 2.758m}

-7.9924 = - \frac{277}{4 \cdot 3.1416 \cdot 2.758}

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Velocity Potential for 3D Incompressible Source Flow Solution

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

FIRST Step Consider the formula

ϕ s = - \frac{Λ}{4 \cdot π \cdot r}

Next Step Substitute values of Variables

∴

ϕ s = - \frac{277m²/s}{4 \cdot π \cdot 2.758m}

Next Step Substitute values of Constants

∴

ϕ s = - \frac{277m²/s}{4 \cdot 3.1416 \cdot 2.758m}

Next Step Prepare to Evaluate

∴

ϕ s = - \frac{277}{4 \cdot 3.1416 \cdot 2.758}

Next Step Evaluate

∴

ϕ s = -7.99237114511512m²/s

LAST Step Rounding Answer

∴

ϕ s = -7.9924m²/s

Velocity Potential for 3D Incompressible Source Flow Formula Elements

Variables

Constants

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

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 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 in 3D Elementry Flows category

Go Radial Velocity for 3D Incompressible Source Flow

V r = \frac{Λ}{4 \cdot π \cdot r^{2}}

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

Λ = 4 \cdot π \cdot V r \cdot r^{2}

Go Radial Coordinate for 3D Source Flow given Radial Velocity

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

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

Λ = - 4 \cdot π \cdot ϕ s \cdot r

How to Evaluate Velocity Potential for 3D Incompressible Source Flow?

Velocity Potential for 3D Incompressible Source Flow evaluator uses Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate) to evaluate the Source Velocity Potential, The Velocity Potential for 3D Incompressible Source Flow formula is defined as the function of source strength and radial distance for three-dimensional source flow. Source Velocity Potential is denoted by ϕ_s symbol.

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

FAQs on Velocity Potential for 3D Incompressible Source Flow

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

The formula of Velocity Potential for 3D Incompressible Source Flow is expressed as Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate). Here is an example- -7.992371 = -277/(4*pi*2.758).

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

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

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

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

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

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

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