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Radial Coordinate for 3D Doublet Flow given Velocity Potential Formula

GoRadial Coordinate for 3D Source Flow given Radial Velocity Formula

GoRadial Coordinate for 3D Source 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 = \sqrt{\frac{mod \underset{̲}{u} s (μ) \cdot \cos (θ)}{4 \cdot π \cdot mod \underset{̲}{u} s (ϕ s)}}

r - Radial Coordinate?μ - Doublet Strength?θ - Polar Angle?ϕ_s - Source Velocity Potential?π - Archimedes' constant?

Radial Coordinate for 3D Doublet Flow given Velocity Potential Example

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

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

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

8.485 = \sqrt{\frac{mod \underset{̲}{u} s (9463) \cdot \cos (0.7)}{4 \cdot 3.1416 \cdot mod \underset{̲}{u} s (-8)}}

8.485m = \sqrt{\frac{mod \underset{̲}{u} s (9463m³/s) \cdot \cos (0.7rad)}{4 \cdot 3.1416 \cdot mod \underset{̲}{u} s (-8m²/s)}}

8.485 = \sqrt{\frac{mod \underset{̲}{u} s (9463) \cdot \cos (0.7)}{4 \cdot 3.1416 \cdot mod \underset{̲}{u} s (-8)}}

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Radial Coordinate for 3D Doublet Flow given Velocity Potential Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{mod \underset{̲}{u} s (9463m³/s) \cdot \cos (0.7rad)}{4 \cdot π \cdot mod \underset{̲}{u} s (-8m²/s)}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{mod \underset{̲}{u} s (9463m³/s) \cdot \cos (0.7rad)}{4 \cdot 3.1416 \cdot mod \underset{̲}{u} s (-8m²/s)}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{mod \underset{̲}{u} s (9463) \cdot \cos (0.7)}{4 \cdot 3.1416 \cdot mod \underset{̲}{u} s (-8)}}

Next Step Evaluate

∴

r = 8.48497196950429m

LAST Step Rounding Answer

∴

r = 8.485m

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

Variables

Constants

Functions

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

Doublet Strength

Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.

Symbol: μ

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Doublet Strength

Polar Angle

Polar Angle is the angular position of a point from a reference direction.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Polar Angle

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

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 Source Flow given Velocity Potential

r = - \frac{Λ}{4 \cdot π \cdot 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 Doublet Flow given Velocity Potential?

Radial Coordinate for 3D Doublet Flow given Velocity Potential evaluator uses Radial Coordinate = sqrt((modulus(Doublet Strength)*cos(Polar Angle))/(4*pi*modulus(Source Velocity Potential))) to evaluate the Radial Coordinate, The Radial Coordinate for 3D Doublet Flow given Velocity Potential formula calculates the radial coordinate to the position of where the velocity potential of the three-dimensional incompressible doublet flow has been provided. Radial Coordinate is denoted by r symbol.

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

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

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

The formula of Radial Coordinate for 3D Doublet Flow given Velocity Potential is expressed as Radial Coordinate = sqrt((modulus(Doublet Strength)*cos(Polar Angle))/(4*pi*modulus(Source Velocity Potential))). Here is an example- 8.484972 = sqrt((modulus(9463)*cos(0.7))/(4*pi*modulus((-8)))).

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

With Doublet Strength (μ), Polar Angle (θ) & Source Velocity Potential (ϕ_s) we can find Radial Coordinate for 3D Doublet Flow given Velocity Potential using the formula - Radial Coordinate = sqrt((modulus(Doublet Strength)*cos(Polar Angle))/(4*pi*modulus(Source Velocity Potential))). This formula also uses Archimedes' constant and , Cosine (cos), Square Root (sqrt), Modulus (modulus) function(s).

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=-Source Strength/(4*pi*Source Velocity Potential)

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

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

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

Radial Coordinate for 3D Doublet 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 Doublet Flow given Velocity Potential can be measured.

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