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Tangential Velocity for Flow over Sphere Formula

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

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

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

Tangential Velocity for Flow over Sphere Example

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Here is how the Tangential Velocity for Flow over Sphere equation looks like with Values.

Here is how the Tangential Velocity for Flow over Sphere equation looks like with Units.

Here is how the Tangential Velocity for Flow over Sphere equation looks like.

66.9311 = (68 + \frac{9463}{4 \cdot 3.1416 \cdot {2.758}^{3}}) \cdot \sin (0.7)

66.9311m/s = (68m/s + \frac{9463m³/s}{4 \cdot 3.1416 \cdot {2.758m}^{3}}) \cdot \sin (0.7rad)

66.9311 = (68 + \frac{9463}{4 \cdot 3.1416 \cdot {2.758}^{3}}) \cdot \sin (0.7)

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Tangential Velocity for Flow over Sphere Solution

Follow our step by step solution on how to calculate Tangential Velocity for Flow over Sphere?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V θ = (68m/s + \frac{9463m³/s}{4 \cdot π \cdot {2.758m}^{3}}) \cdot \sin (0.7rad)

Next Step Substitute values of Constants

∴

V θ = (68m/s + \frac{9463m³/s}{4 \cdot 3.1416 \cdot {2.758m}^{3}}) \cdot \sin (0.7rad)

Next Step Prepare to Evaluate

∴

V θ = (68 + \frac{9463}{4 \cdot 3.1416 \cdot {2.758}^{3}}) \cdot \sin (0.7)

Next Step Evaluate

∴

V θ = 66.9311155065304m/s

LAST Step Rounding Answer

∴

V θ = 66.9311m/s

Tangential Velocity for Flow over Sphere Formula Elements

Variables

Constants

Functions

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

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

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

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

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 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}}

Go Doublet Strength given Tangential Velocity

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

How to Evaluate Tangential Velocity for Flow over Sphere?

Tangential Velocity for Flow over Sphere evaluator uses Tangential Velocity = (Freestream Velocity+Doublet Strength/(4*pi*Radial Coordinate^3))*sin(Polar Angle) to evaluate the Tangential Velocity, The Tangential Velocity for Flow over Sphere formula calculates the tangential velocity at the desired location when the three-dimensional doublet flow with a uniform velocity field takes over a sphere. Tangential Velocity is denoted by V_θ symbol.

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

FAQs on Tangential Velocity for Flow over Sphere

What is the formula to find Tangential Velocity for Flow over Sphere?

The formula of Tangential Velocity for Flow over Sphere is expressed as Tangential Velocity = (Freestream Velocity+Doublet Strength/(4*pi*Radial Coordinate^3))*sin(Polar Angle). Here is an example- 66.93112 = (68+9463/(4*pi*2.758^3))*sin(0.7).

How to calculate Tangential Velocity for Flow over Sphere?

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

Can the Tangential Velocity for Flow over Sphere be negative?

Yes, the Tangential Velocity for Flow over Sphere, measured in Speed can be negative.

Which unit is used to measure Tangential Velocity for Flow over Sphere?

Tangential Velocity for Flow over Sphere is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Tangential Velocity for Flow over Sphere can be measured.

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Tangential Velocity for Flow over Sphere Formula

Tangential Velocity for Flow over Sphere Example

Tangential Velocity for Flow over Sphere Solution

Tangential Velocity for Flow over Sphere Formula Elements

Other formulas in Tangential Velocity category

How to Evaluate Tangential Velocity for Flow over Sphere?

FAQs on Tangential Velocity for Flow over Sphere

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