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Doublet Strength for 3D Incompressible Flow Formula

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

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

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

Doublet Strength for 3D Incompressible Flow Example

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

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

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

9463.1812 = - \frac{4 \cdot 3.1416 \cdot -75.72 \cdot {2.758}^{2}}{\cos (0.7)}

9463.1812m³/s = - \frac{4 \cdot 3.1416 \cdot -75.72m²/s \cdot {2.758m}^{2}}{\cos (0.7rad)}

9463.1812 = - \frac{4 \cdot 3.1416 \cdot -75.72 \cdot {2.758}^{2}}{\cos (0.7)}

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Doublet Strength for 3D Incompressible Flow Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = - \frac{4 \cdot π \cdot -75.72m²/s \cdot {2.758m}^{2}}{\cos (0.7rad)}

Next Step Substitute values of Constants

∴

μ = - \frac{4 \cdot 3.1416 \cdot -75.72m²/s \cdot {2.758m}^{2}}{\cos (0.7rad)}

Next Step Prepare to Evaluate

∴

μ = - \frac{4 \cdot 3.1416 \cdot -75.72 \cdot {2.758}^{2}}{\cos (0.7)}

Next Step Evaluate

∴

μ = 9463.18124763771m³/s

LAST Step Rounding Answer

∴

μ = 9463.1812m³/s

Doublet Strength for 3D Incompressible Flow Formula Elements

Variables

Constants

Functions

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

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

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

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

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 Doublet Strength for 3D Incompressible Flow?

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

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

FAQs on Doublet Strength for 3D Incompressible Flow

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

The formula of Doublet Strength for 3D Incompressible Flow is expressed as Doublet Strength = -(4*pi*Velocity Potential*Radial Coordinate^2)/cos(Polar Angle). Here is an example- 9463.181 = -(4*pi*(-75.72)*2.758^2)/cos(0.7).

How to calculate Doublet Strength for 3D Incompressible Flow?

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

Can the Doublet Strength for 3D Incompressible Flow be negative?

No, the Doublet Strength for 3D Incompressible Flow, measured in Volumetric Flow Rate cannot be negative.

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

Doublet Strength for 3D Incompressible Flow is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Doublet Strength for 3D Incompressible Flow can be measured.

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