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Doublet Strength given Radial 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 = 2 \cdot π \cdot r^{3} \cdot (V ∞ + \frac{V r}{\cos (θ)})

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

Doublet Strength given Radial Velocity Example

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

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

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

9463.1664 = 2 \cdot 3.1416 \cdot {2.758}^{3} \cdot (68 + \frac{2.9}{\cos (0.7)})

9463.1664m³/s = 2 \cdot 3.1416 \cdot {2.758m}^{3} \cdot (68m/s + \frac{2.9m/s}{\cos (0.7rad)})

9463.1664 = 2 \cdot 3.1416 \cdot {2.758}^{3} \cdot (68 + \frac{2.9}{\cos (0.7)})

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Doublet Strength given Radial Velocity Solution

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

FIRST Step Consider the formula

μ = 2 \cdot π \cdot r^{3} \cdot (V ∞ + \frac{V r}{\cos (θ)})

Next Step Substitute values of Variables

∴

μ = 2 \cdot π \cdot {2.758m}^{3} \cdot (68m/s + \frac{2.9m/s}{\cos (0.7rad)})

Next Step Substitute values of Constants

∴

μ = 2 \cdot 3.1416 \cdot {2.758m}^{3} \cdot (68m/s + \frac{2.9m/s}{\cos (0.7rad)})

Next Step Prepare to Evaluate

∴

μ = 2 \cdot 3.1416 \cdot {2.758}^{3} \cdot (68 + \frac{2.9}{\cos (0.7)})

Next Step Evaluate

∴

μ = 9463.16644873708m³/s

LAST Step Rounding Answer

∴

μ = 9463.1664m³/s

Doublet Strength given Radial 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

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

Radial Velocity

The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Radial 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

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 Radial Velocity category

Go Radial Velocity for Flow over Sphere

V r = - (V ∞ - \frac{μ}{2 \cdot π \cdot r^{3}}) \cdot \cos (θ)

Go Freestream Velocity given Radial Velocity

V ∞ = \frac{μ}{2 \cdot π \cdot r^{3}} - \frac{V r}{\cos (θ)}

Go Polar Coordinate given Radial Velocity

θ = a \cos (\frac{V r}{\frac{μ}{2 \cdot π \cdot r^{3}} - V ∞})

Go Radial Coordinate given Radial Velocity

r = {(\frac{μ}{2 \cdot π \cdot (V ∞ + \frac{V r}{\cos (θ)})})}^{\frac{1}{3}}

How to Evaluate Doublet Strength given Radial Velocity?

Doublet Strength given Radial Velocity evaluator uses Doublet Strength = 2*pi*Radial Coordinate^3*(Freestream Velocity+Radial Velocity/cos(Polar Angle)) to evaluate the Doublet Strength, The Doublet Strength given Radial 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 radial velocity at a particular location. Doublet Strength is denoted by μ symbol.

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

FAQs on Doublet Strength given Radial Velocity

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

The formula of Doublet Strength given Radial Velocity is expressed as Doublet Strength = 2*pi*Radial Coordinate^3*(Freestream Velocity+Radial Velocity/cos(Polar Angle)). Here is an example- 9463.166 = 2*pi*2.758^3*(68+2.9/cos(0.7)).

How to calculate Doublet Strength given Radial Velocity?

With Radial Coordinate (r), Freestream Velocity (V_∞), Radial Velocity (V_r) & Polar Angle (θ) we can find Doublet Strength given Radial Velocity using the formula - Doublet Strength = 2*pi*Radial Coordinate^3*(Freestream Velocity+Radial Velocity/cos(Polar Angle)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the Doublet Strength given Radial Velocity be negative?

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

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

Doublet Strength given Radial 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 Radial Velocity can be measured.

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Doublet Strength given Radial Velocity Formula

Doublet Strength given Radial Velocity Example

Doublet Strength given Radial Velocity Solution

Doublet Strength given Radial Velocity Formula Elements

Other formulas in Radial Velocity category

How to Evaluate Doublet Strength given Radial Velocity?

FAQs on Doublet Strength given Radial Velocity

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