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Freestream Velocity at Stagnation Point for Flow over Sphere 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{μ}{2 \cdot π \cdot {R s}^{3}}

V_∞ - Freestream Velocity?μ - Doublet Strength?R_s - Radius of Sphere?π - Archimedes' constant?

Freestream Velocity at Stagnation Point for Flow over Sphere Example

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Here is how the Freestream Velocity at Stagnation Point for Flow over Sphere equation looks like with Values.

Here is how the Freestream Velocity at Stagnation Point for Flow over Sphere equation looks like with Units.

Here is how the Freestream Velocity at Stagnation Point for Flow over Sphere equation looks like.

67.9507 = \frac{9463}{2 \cdot 3.1416 \cdot {2.809}^{3}}

67.9507m/s = \frac{9463m³/s}{2 \cdot 3.1416 \cdot {2.809m}^{3}}

67.9507 = \frac{9463}{2 \cdot 3.1416 \cdot {2.809}^{3}}

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Freestream Velocity at Stagnation Point for Flow over Sphere Solution

Follow our step by step solution on how to calculate Freestream Velocity at Stagnation Point for Flow over Sphere?

FIRST Step Consider the formula

V ∞ = \frac{μ}{2 \cdot π \cdot {R s}^{3}}

Next Step Substitute values of Variables

∴

V ∞ = \frac{9463m³/s}{2 \cdot π \cdot {2.809m}^{3}}

Next Step Substitute values of Constants

∴

V ∞ = \frac{9463m³/s}{2 \cdot 3.1416 \cdot {2.809m}^{3}}

Next Step Prepare to Evaluate

∴

V ∞ = \frac{9463}{2 \cdot 3.1416 \cdot {2.809}^{3}}

Next Step Evaluate

∴

V ∞ = 67.9506716982713m/s

LAST Step Rounding Answer

∴

V ∞ = 67.9507m/s

Freestream Velocity at Stagnation Point for Flow over Sphere Formula Elements

Variables

Constants

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

Radius of Sphere

Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

Symbol: R_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Sphere

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

Other formulas in Stagnation Point category

Go Radial Coordinate of Stagnation Point for Flow over Sphere

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

Go Doublet Strength given Radial Coordinate of Stagnation Point

μ = 2 \cdot π \cdot V ∞ \cdot {R s}^{3}

How to Evaluate Freestream Velocity at Stagnation Point for Flow over Sphere?

Freestream Velocity at Stagnation Point for Flow over Sphere evaluator uses Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3) to evaluate the Freestream Velocity, The Freestream Velocity at Stagnation Point for Flow over Sphere formula calculates the uniform velocity of the fluid flowing over a sphere called freestream velocity when the location of stagnation point is known or we can say the radius of the sphere. Freestream Velocity is denoted by V_∞ symbol.

How to evaluate Freestream Velocity at Stagnation Point for Flow over Sphere using this online evaluator? To use this online evaluator for Freestream Velocity at Stagnation Point for Flow over Sphere, enter Doublet Strength (μ) & Radius of Sphere (R_s) and hit the calculate button.

FAQs on Freestream Velocity at Stagnation Point for Flow over Sphere

What is the formula to find Freestream Velocity at Stagnation Point for Flow over Sphere?

The formula of Freestream Velocity at Stagnation Point for Flow over Sphere is expressed as Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3). Here is an example- 67.95067 = 9463/(2*pi*2.809^3).

How to calculate Freestream Velocity at Stagnation Point for Flow over Sphere?

With Doublet Strength (μ) & Radius of Sphere (R_s) we can find Freestream Velocity at Stagnation Point for Flow over Sphere using the formula - Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3). This formula also uses Archimedes' constant .

Can the Freestream Velocity at Stagnation Point for Flow over Sphere be negative?

Yes, the Freestream Velocity at Stagnation Point for Flow over Sphere, measured in Speed can be negative.

Which unit is used to measure Freestream Velocity at Stagnation Point for Flow over Sphere?

Freestream Velocity at Stagnation Point 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 at Stagnation Point for Flow over Sphere can be measured.

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