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Doublet Strength given Tangential Velocity 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 = 4 \cdot π \cdot r^{3} \cdot (\frac{V θ}{\sin (θ)} - V ∞)

μ - Doublet Strength?r - Radial Coordinate?V_θ - Tangential Velocity?θ - Polar Angle?V_∞ - Freestream Velocity?π - Archimedes' constant?

Doublet Strength given Tangential Velocity Example

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Here is how the Doublet Strength given Tangential Velocity equation looks like with Values.

Here is how the Doublet Strength given Tangential Velocity equation looks like with Units.

Here is how the Doublet Strength given Tangential Velocity equation looks like.

9081.9661 = 4 \cdot 3.1416 \cdot {2.758}^{3} \cdot (\frac{66}{\sin (0.7)} - 68)

9081.9661m³/s = 4 \cdot 3.1416 \cdot {2.758m}^{3} \cdot (\frac{66m/s}{\sin (0.7rad)} - 68m/s)

9081.9661 = 4 \cdot 3.1416 \cdot {2.758}^{3} \cdot (\frac{66}{\sin (0.7)} - 68)

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Doublet Strength given Tangential Velocity Solution

Follow our step by step solution on how to calculate Doublet Strength given Tangential Velocity?

FIRST Step Consider the formula

μ = 4 \cdot π \cdot r^{3} \cdot (\frac{V θ}{\sin (θ)} - V ∞)

Next Step Substitute values of Variables

∴

μ = 4 \cdot π \cdot {2.758m}^{3} \cdot (\frac{66m/s}{\sin (0.7rad)} - 68m/s)

Next Step Substitute values of Constants

∴

μ = 4 \cdot 3.1416 \cdot {2.758m}^{3} \cdot (\frac{66m/s}{\sin (0.7rad)} - 68m/s)

Next Step Prepare to Evaluate

∴

μ = 4 \cdot 3.1416 \cdot {2.758}^{3} \cdot (\frac{66}{\sin (0.7)} - 68)

Next Step Evaluate

∴

μ = 9081.96614510143m³/s

LAST Step Rounding Answer

∴

μ = 9081.9661m³/s

Doublet Strength given Tangential Velocity 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

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

Tangential Velocity

Tangential Velocity is the component of velocity in the tangential direction.

Symbol: V_θ

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Tangential Velocity

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

Freestream Velocity

The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Tangential Velocity category

Go Tangential Velocity for Flow over Sphere

V θ = (V ∞ + \frac{μ}{4 \cdot π \cdot r^{3}}) \cdot \sin (θ)

Go Freestream Velocity given Tangential Velocity

V ∞ = \frac{V θ}{\sin (θ)} - \frac{μ}{4 \cdot π \cdot r^{3}}

Go Polar Coordinate given Tangential Velocity

θ = a \sin (\frac{V θ}{V ∞ + \frac{μ}{4 \cdot π \cdot r^{3}}})

Go Radial Coordinate given Tangential Velocity

r = {(\frac{μ}{4 \cdot π \cdot (\frac{V θ}{\sin (θ)} - V ∞)})}^{\frac{1}{3}}

How to Evaluate Doublet Strength given Tangential Velocity?

Doublet Strength given Tangential Velocity evaluator uses Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity) to evaluate the Doublet Strength, The Doublet Strength given Tangential Velocity formula calculates the strength of the doublet which induces the flow with the uniform velocity field in a particular direction by using the given tangential velocity at a particular location. Doublet Strength is denoted by μ symbol.

How to evaluate Doublet Strength given Tangential Velocity using this online evaluator? To use this online evaluator for Doublet Strength given Tangential Velocity, enter Radial Coordinate (r), Tangential Velocity (V_θ), Polar Angle (θ) & Freestream Velocity (V_∞) and hit the calculate button.

FAQs on Doublet Strength given Tangential Velocity

What is the formula to find Doublet Strength given Tangential Velocity?

The formula of Doublet Strength given Tangential Velocity is expressed as Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity). Here is an example- 5808.182 = 4*pi*2.758^3*(66/sin(0.7)-68).

How to calculate Doublet Strength given Tangential Velocity?

With Radial Coordinate (r), Tangential Velocity (V_θ), Polar Angle (θ) & Freestream Velocity (V_∞) we can find Doublet Strength given Tangential Velocity using the formula - Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Doublet Strength given Tangential Velocity be negative?

No, the Doublet Strength given Tangential Velocity, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Doublet Strength given Tangential Velocity?

Doublet Strength given Tangential Velocity 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 given Tangential Velocity can be measured.

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Doublet Strength given Tangential Velocity Formula

Doublet Strength given Tangential Velocity Example

Doublet Strength given Tangential Velocity Solution

Doublet Strength given Tangential Velocity Formula Elements

Other formulas in Tangential Velocity category

How to Evaluate Doublet Strength given Tangential Velocity?

FAQs on Doublet Strength given Tangential Velocity

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