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Radial Coordinate for 3D Source Flow given Velocity Potential Formula

GoRadial Coordinate for 3D Source Flow given Radial Velocity Formula

GoRadial Coordinate for 3D Doublet Flow given Velocity Potential Formula

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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. Check FAQs

r = - \frac{Λ}{4 \cdot π \cdot ϕ s}

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

Radial Coordinate for 3D Source Flow given Velocity Potential Example

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

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

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

2.7554 = - \frac{277}{4 \cdot 3.1416 \cdot -8}

2.7554m = - \frac{277m²/s}{4 \cdot 3.1416 \cdot -8m²/s}

2.7554 = - \frac{277}{4 \cdot 3.1416 \cdot -8}

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Radial Coordinate for 3D Source Flow given Velocity Potential Solution

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

FIRST Step Consider the formula

r = - \frac{Λ}{4 \cdot π \cdot ϕ s}

Next Step Substitute values of Variables

∴

r = - \frac{277m²/s}{4 \cdot π \cdot -8m²/s}

Next Step Substitute values of Constants

∴

r = - \frac{277m²/s}{4 \cdot 3.1416 \cdot -8m²/s}

Next Step Prepare to Evaluate

∴

r = - \frac{277}{4 \cdot 3.1416 \cdot -8}

Next Step Evaluate

∴

r = 2.75536995227844m

LAST Step Rounding Answer

∴

r = 2.7554m

Radial Coordinate for 3D Source Flow given Velocity Potential Formula Elements

Variables

Constants

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

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

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 Radial Coordinate

Go Radial Coordinate for 3D Source Flow given Radial Velocity

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

Go Radial Coordinate for 3D Doublet Flow given Velocity Potential

r = \sqrt{\frac{mod \underset{̲}{u} s (μ) \cdot \cos (θ)}{4 \cdot π \cdot mod \underset{̲}{u} s (ϕ s)}}

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 Velocity Potential for 3D Incompressible Source Flow

ϕ s = - \frac{Λ}{4 \cdot π \cdot r}

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

Λ = - 4 \cdot π \cdot ϕ s \cdot r

How to Evaluate Radial Coordinate for 3D Source Flow given Velocity Potential?

Radial Coordinate for 3D Source Flow given Velocity Potential evaluator uses Radial Coordinate = -Source Strength/(4*pi*Source Velocity Potential) to evaluate the Radial Coordinate, The Radial Coordinate for 3D Source Flow given Velocity Potential formula calculates the radial coordinate for the 3D incompressible source flow at where the velocity potential is given. Radial Coordinate is denoted by r symbol.

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

FAQs on Radial Coordinate for 3D Source Flow given Velocity Potential

What is the formula to find Radial Coordinate for 3D Source Flow given Velocity Potential?

The formula of Radial Coordinate for 3D Source Flow given Velocity Potential is expressed as Radial Coordinate = -Source Strength/(4*pi*Source Velocity Potential). Here is an example- 2.75537 = -277/(4*pi*(-8)).

How to calculate Radial Coordinate for 3D Source Flow given Velocity Potential?

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

What are the other ways to Calculate Radial Coordinate?

Here are the different ways to Calculate Radial Coordinate-

Radial Coordinate=sqrt(Source Strength/(4*pi*Radial Velocity))
Radial Coordinate=sqrt((modulus(Doublet Strength)*cos(Polar Angle))/(4*pi*modulus(Source Velocity Potential)))

Can the Radial Coordinate for 3D Source Flow given Velocity Potential be negative?

No, the Radial Coordinate for 3D Source Flow given Velocity Potential, measured in Length cannot be negative.

Which unit is used to measure Radial Coordinate for 3D Source Flow given Velocity Potential?

Radial Coordinate for 3D Source Flow given Velocity Potential is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Coordinate for 3D Source Flow given Velocity Potential can be measured.

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