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Velocity Potential for 3D Incompressible Doublet Flow Formula

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Velocity Potential is a scalar function whose gradient gives velocity. Check FAQs

ϕ = - \frac{μ \cdot \cos (θ)}{4 \cdot π \cdot r^{2}}

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

Velocity Potential for 3D Incompressible Doublet Flow Example

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

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

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

-75.7185 = - \frac{9463 \cdot \cos (0.7)}{4 \cdot 3.1416 \cdot {2.758}^{2}}

-75.7185m²/s = - \frac{9463m³/s \cdot \cos (0.7rad)}{4 \cdot 3.1416 \cdot {2.758m}^{2}}

-75.7185 = - \frac{9463 \cdot \cos (0.7)}{4 \cdot 3.1416 \cdot {2.758}^{2}}

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Velocity Potential for 3D Incompressible Doublet Flow Solution

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

FIRST Step Consider the formula

ϕ = - \frac{μ \cdot \cos (θ)}{4 \cdot π \cdot r^{2}}

Next Step Substitute values of Variables

∴

ϕ = - \frac{9463m³/s \cdot \cos (0.7rad)}{4 \cdot π \cdot {2.758m}^{2}}

Next Step Substitute values of Constants

∴

ϕ = - \frac{9463m³/s \cdot \cos (0.7rad)}{4 \cdot 3.1416 \cdot {2.758m}^{2}}

Next Step Prepare to Evaluate

∴

ϕ = - \frac{9463 \cdot \cos (0.7)}{4 \cdot 3.1416 \cdot {2.758}^{2}}

Next Step Evaluate

∴

ϕ = -75.7185497402228m²/s

LAST Step Rounding Answer

∴

ϕ = -75.7185m²/s

Velocity Potential for 3D Incompressible Doublet Flow Formula Elements

Variables

Constants

Functions

Velocity Potential

Velocity Potential is a scalar function whose gradient gives velocity.

Symbol: ϕ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Velocity Potential

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

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

cos

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

Syntax: cos(Angle)

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 Velocity Potential for 3D Incompressible Source Flow

ϕ s = - \frac{Λ}{4 \cdot π \cdot r}

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

Velocity Potential for 3D Incompressible Doublet Flow evaluator uses Velocity Potential = -(Doublet Strength*cos(Polar Angle))/(4*pi*Radial Coordinate^2) to evaluate the Velocity Potential, The Velocity Potential for 3D Incompressible Doublet Flow formula calculates the velocity potential which is a function of the strength of the doublet, radial, and polar coordinate for the three-dimensional incompressible doublet flow. Velocity Potential is denoted by ϕ symbol.

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

FAQs on Velocity Potential for 3D Incompressible Doublet Flow

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

The formula of Velocity Potential for 3D Incompressible Doublet Flow is expressed as Velocity Potential = -(Doublet Strength*cos(Polar Angle))/(4*pi*Radial Coordinate^2). Here is an example- -75.71855 = -(9463*cos(0.7))/(4*pi*2.758^2).

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

With Doublet Strength (μ), Polar Angle (θ) & Radial Coordinate (r) we can find Velocity Potential for 3D Incompressible Doublet Flow using the formula - Velocity Potential = -(Doublet Strength*cos(Polar Angle))/(4*pi*Radial Coordinate^2). This formula also uses Archimedes' constant and Cosine function(s).

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

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

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

Velocity Potential for 3D Incompressible Doublet 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 Doublet Flow can be measured.

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