Radial Velocity for Flow over Sphere Formula

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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. Check FAQs
Vr=-(V-μ2πr3)cos(θ)
Vr - Radial Velocity?V - Freestream Velocity?μ - Doublet Strength?r - Radial Coordinate?θ - Polar Angle?π - Archimedes' constant?

Radial Velocity for Flow over Sphere Example

With values
With units
Only example

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

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

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

2.899Edit=-(68Edit-9463Edit23.14162.758Edit3)cos(0.7Edit)
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Radial Velocity for Flow over Sphere Solution

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

FIRST Step Consider the formula
Vr=-(V-μ2πr3)cos(θ)
Next Step Substitute values of Variables
Vr=-(68m/s-9463m³/s2π2.758m3)cos(0.7rad)
Next Step Substitute values of Constants
Vr=-(68m/s-9463m³/s23.14162.758m3)cos(0.7rad)
Next Step Prepare to Evaluate
Vr=-(68-946323.14162.7583)cos(0.7)
Next Step Evaluate
Vr=2.89903419447553m/s
LAST Step Rounding Answer
Vr=2.899m/s

Radial Velocity for Flow over Sphere Formula Elements

Variables
Constants
Functions
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: Vr
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
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.
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.
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.
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.
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 Freestream Velocity given Radial Velocity
V=μ2πr3-Vrcos(θ)
​Go Polar Coordinate given Radial Velocity
θ=acos(Vrμ2πr3-V)
​Go Radial Coordinate given Radial Velocity
r=(μ2π(V+Vrcos(θ)))13
​Go Doublet Strength given Radial Velocity
μ=2πr3(V+Vrcos(θ))

How to Evaluate Radial Velocity for Flow over Sphere?

Radial Velocity for Flow over Sphere evaluator uses Radial Velocity = -(Freestream Velocity-Doublet Strength/(2*pi*Radial Coordinate^3))*cos(Polar Angle) to evaluate the Radial Velocity, The Radial Velocity for Flow over Sphere formula calculates the radial velocity at the desired location when the three-dimensional doublet flow with a uniform velocity field takes over a sphere. Radial Velocity is denoted by Vr symbol.

How to evaluate Radial Velocity for Flow over Sphere using this online evaluator? To use this online evaluator for Radial 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 Radial Velocity for Flow over Sphere

What is the formula to find Radial Velocity for Flow over Sphere?
The formula of Radial Velocity for Flow over Sphere is expressed as Radial Velocity = -(Freestream Velocity-Doublet Strength/(2*pi*Radial Coordinate^3))*cos(Polar Angle). Here is an example- 2.899034 = -(68-9463/(2*pi*2.758^3))*cos(0.7).
How to calculate Radial Velocity for Flow over Sphere?
With Freestream Velocity (V), Doublet Strength (μ), Radial Coordinate (r) & Polar Angle (θ) we can find Radial Velocity for Flow over Sphere using the formula - Radial Velocity = -(Freestream Velocity-Doublet Strength/(2*pi*Radial Coordinate^3))*cos(Polar Angle). This formula also uses Archimedes' constant and Cosine (cos) function(s).
Can the Radial Velocity for Flow over Sphere be negative?
Yes, the Radial Velocity for Flow over Sphere, measured in Speed can be negative.
Which unit is used to measure Radial Velocity for Flow over Sphere?
Radial 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 Radial Velocity for Flow over Sphere can be measured.
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