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Radial Coordinate of Stagnation Point for Flow over Sphere Formula

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Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin. Check FAQs

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

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

Radial Coordinate of Stagnation Point for Flow over Sphere Example

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Here is how the Radial Coordinate of Stagnation Point for Flow over Sphere equation looks like with Values.

Here is how the Radial Coordinate of Stagnation Point for Flow over Sphere equation looks like with Units.

Here is how the Radial Coordinate of Stagnation Point for Flow over Sphere equation looks like.

2.8083 = {(\frac{9463}{2 \cdot 3.1416 \cdot 68})}^{\frac{1}{3}}

2.8083m = {(\frac{9463m³/s}{2 \cdot 3.1416 \cdot 68m/s})}^{\frac{1}{3}}

2.8083 = {(\frac{9463}{2 \cdot 3.1416 \cdot 68})}^{\frac{1}{3}}

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Radial Coordinate of Stagnation Point for Flow over Sphere Solution

Follow our step by step solution on how to calculate Radial Coordinate of Stagnation Point for Flow over Sphere?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = {(\frac{9463m³/s}{2 \cdot π \cdot 68m/s})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

r = {(\frac{9463m³/s}{2 \cdot 3.1416 \cdot 68m/s})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r = {(\frac{9463}{2 \cdot 3.1416 \cdot 68})}^{\frac{1}{3}}

Next Step Evaluate

∴

r = 2.80832060432159m

LAST Step Rounding Answer

∴

r = 2.8083m

Radial Coordinate of Stagnation Point for Flow over Sphere Formula Elements

Variables

Constants

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

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

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

Other formulas in Stagnation Point category

Go Freestream Velocity at Stagnation Point for Flow over Sphere

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

Go Doublet Strength given Radial Coordinate of Stagnation Point

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

How to Evaluate Radial Coordinate of Stagnation Point for Flow over Sphere?

Radial Coordinate of Stagnation Point for Flow over Sphere evaluator uses Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3) to evaluate the Radial Coordinate, The Radial Coordinate of Stagnation Point for Flow over Sphere formula calculates the radial coordinate for the point at which the fluid velocity becomes zero or we can say stagnation point for the 3D incompressible flow over a sphere. Radial Coordinate is denoted by r symbol.

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

FAQs on Radial Coordinate of Stagnation Point for Flow over Sphere

What is the formula to find Radial Coordinate of Stagnation Point for Flow over Sphere?

The formula of Radial Coordinate of Stagnation Point for Flow over Sphere is expressed as Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3). Here is an example- 2.808321 = (9463/(2*pi*68))^(1/3).

How to calculate Radial Coordinate of Stagnation Point for Flow over Sphere?

With Doublet Strength (μ) & Freestream Velocity (V_∞) we can find Radial Coordinate of Stagnation Point for Flow over Sphere using the formula - Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3). This formula also uses Archimedes' constant .

Can the Radial Coordinate of Stagnation Point for Flow over Sphere be negative?

No, the Radial Coordinate of Stagnation Point for Flow over Sphere, measured in Length cannot be negative.

Which unit is used to measure Radial Coordinate of Stagnation Point for Flow over Sphere?

Radial Coordinate of Stagnation Point for Flow over Sphere is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Coordinate of Stagnation Point for Flow over Sphere can be measured.

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