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Freestream Velocity given Surface Velocity for Flow over Sphere Formula

GoFreestream Velocity given Maximum Surface Velocity Formula

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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. Check FAQs

V ∞ = \frac{2}{3} \cdot \frac{V θ}{\sin (θ)}

V_∞ - Freestream Velocity?V_θ - Tangential Velocity?θ - Polar Angle?

Freestream Velocity given Surface Velocity for Flow over Sphere Example

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Here is how the Freestream Velocity given Surface Velocity for Flow over Sphere equation looks like with Values.

Here is how the Freestream Velocity given Surface Velocity for Flow over Sphere equation looks like with Units.

Here is how the Freestream Velocity given Surface Velocity for Flow over Sphere equation looks like.

68.2999 = \frac{2}{3} \cdot \frac{66}{\sin (0.7)}

68.2999m/s = \frac{2}{3} \cdot \frac{66m/s}{\sin (0.7rad)}

68.2999 = \frac{2}{3} \cdot \frac{66}{\sin (0.7)}

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Freestream Velocity given Surface Velocity for Flow over Sphere Solution

Follow our step by step solution on how to calculate Freestream Velocity given Surface Velocity for Flow over Sphere?

FIRST Step Consider the formula

V ∞ = \frac{2}{3} \cdot \frac{V θ}{\sin (θ)}

Next Step Substitute values of Variables

∴

V ∞ = \frac{2}{3} \cdot \frac{66m/s}{\sin (0.7rad)}

Next Step Prepare to Evaluate

∴

V ∞ = \frac{2}{3} \cdot \frac{66}{\sin (0.7)}

Next Step Evaluate

∴

V ∞ = 68.2998943861126m/s

LAST Step Rounding Answer

∴

V ∞ = 68.2999m/s

Freestream Velocity given Surface Velocity for Flow over Sphere Formula Elements

Variables

Functions

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

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

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 to find Freestream Velocity

Go Freestream Velocity given Maximum Surface Velocity

V ∞ = \frac{2}{3} \cdot V s,max

Other formulas in Surface Velocity category

Go Surface Velocity for Incompressible Flow over Sphere

V θ = \frac{3}{2} \cdot V ∞ \cdot \sin (θ)

Go Maximum Surface Velocity for Flow over Sphere

V s,max = \frac{3}{2} \cdot V ∞

Go Polar Coordinate given Surface Velocity for Flow over Sphere

θ = a \sin (\frac{2}{3} \cdot \frac{V θ}{V ∞})

How to Evaluate Freestream Velocity given Surface Velocity for Flow over Sphere?

Freestream Velocity given Surface Velocity for Flow over Sphere evaluator uses Freestream Velocity = 2/3*Tangential Velocity/sin(Polar Angle) to evaluate the Freestream Velocity, The Freestream Velocity given Surface Velocity for Flow over Sphere formula calculates the uniform velocity of the fluid flowing over a sphere called freestream velocity when the velocity over the surface of the sphere is given. Freestream Velocity is denoted by V_∞ symbol.

How to evaluate Freestream Velocity given Surface Velocity for Flow over Sphere using this online evaluator? To use this online evaluator for Freestream Velocity given Surface Velocity for Flow over Sphere, enter Tangential Velocity (V_θ) & Polar Angle (θ) and hit the calculate button.

FAQs on Freestream Velocity given Surface Velocity for Flow over Sphere

What is the formula to find Freestream Velocity given Surface Velocity for Flow over Sphere?

The formula of Freestream Velocity given Surface Velocity for Flow over Sphere is expressed as Freestream Velocity = 2/3*Tangential Velocity/sin(Polar Angle). Here is an example- 60.02112 = 2/3*66/sin(0.7).

How to calculate Freestream Velocity given Surface Velocity for Flow over Sphere?

With Tangential Velocity (V_θ) & Polar Angle (θ) we can find Freestream Velocity given Surface Velocity for Flow over Sphere using the formula - Freestream Velocity = 2/3*Tangential Velocity/sin(Polar Angle). This formula also uses Sine function(s).

What are the other ways to Calculate Freestream Velocity?

Here are the different ways to Calculate Freestream Velocity-

Freestream Velocity=2/3*Maximum Surface Velocity

Can the Freestream Velocity given Surface Velocity for Flow over Sphere be negative?

Yes, the Freestream Velocity given Surface Velocity for Flow over Sphere, measured in Speed can be negative.

Which unit is used to measure Freestream Velocity given Surface Velocity for Flow over Sphere?

Freestream Velocity given Surface 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 Freestream Velocity given Surface Velocity for Flow over Sphere can be measured.

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Freestream Velocity given Surface Velocity for Flow over Sphere Formula

​GoFreestream Velocity given Maximum Surface Velocity Formula

Freestream Velocity given Surface Velocity for Flow over Sphere Example

Freestream Velocity given Surface Velocity for Flow over Sphere Solution

Freestream Velocity given Surface Velocity for Flow over Sphere Formula Elements

Other Formulas to find Freestream Velocity

Other formulas in Surface Velocity category

How to Evaluate Freestream Velocity given Surface Velocity for Flow over Sphere?

FAQs on Freestream Velocity given Surface Velocity for Flow over Sphere

Variable Name

GoFreestream Velocity given Maximum Surface Velocity Formula