Freestream Velocity at Stagnation Point for Flow over Sphere Calculator

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Three-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Two-Dimensional Incompressible Flow

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✖Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength [μ]			+10% -10%
✖Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.ⓘ Radius of Sphere [R_s]			+10% -10%

✖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.ⓘ Freestream Velocity at Stagnation Point for Flow over Sphere [V_∞]

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Formula

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Freestream Velocity at Stagnation Point for Flow over Sphere

Formula

`"V"_{"∞"} = "μ"/(2*pi*"R"_{"s"}^3)`

Example

`"67.95067m/s"="9463m³/s"/(2*pi*("2.809m")^3)`

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Freestream Velocity at Stagnation Point for Flow over Sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3)
V_∞ = μ/(2*pi*R_s^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Freestream Velocity - (Measured in Meter per Second) - 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.
Doublet Strength - (Measured in Cubic Meter per Second) - Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.
Radius of Sphere - (Measured in Meter) - Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

STEP 1: Convert Input(s) to Base Unit

Doublet Strength: 9463 Cubic Meter per Second --> 9463 Cubic Meter per Second No Conversion Required
Radius of Sphere: 2.809 Meter --> 2.809 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = μ/(2*pi*R_s^3) --> 9463/(2*pi*2.809^3)

Evaluating ... ...

V_∞ = 67.9506716982713

STEP 3: Convert Result to Output's Unit

67.9506716982713 Meter per Second --> No Conversion Required

FINAL ANSWER

67.9506716982713 ≈ 67.95067 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Aerodynamics » Three-Dimensional Incompressible Flow » Flow over Sphere » Stagnation Point » Freestream Velocity at Stagnation Point for Flow over Sphere

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< 3 Stagnation Point Calculators

Radial Coordinate of Stagnation Point for Flow over Sphere

Go Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3)

Freestream Velocity at Stagnation Point for Flow over Sphere

Go Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3)

Doublet Strength given Radial Coordinate of Stagnation Point

Go Doublet Strength = 2*pi*Freestream Velocity*Radius of Sphere^3

Freestream Velocity at Stagnation Point for Flow over Sphere Formula

Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3)
V_∞ = μ/(2*pi*R_s^3)

What do you mean by stagnation properties?

Stagnation Properties of fluid are defined as "When a flowing fluid past an immersed body, and at a point on the body if the resultant velocity becomes zero, then the values of pressure, temperature, and density at that point", are called stagnation properties.

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

Freestream Velocity at Stagnation Point for Flow over Sphere calculator uses Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3) to calculate 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 calculate Freestream Velocity at Stagnation Point for Flow over Sphere using this online calculator? To use this online calculator for Freestream Velocity at Stagnation Point for Flow over Sphere, enter Doublet Strength (μ) & Radius of Sphere (R_s) and hit the calculate button. Here is how the Freestream Velocity at Stagnation Point for Flow over Sphere calculation can be explained with given input values -> 67.95067 = 9463/(2*pi*2.809^3).

FAQ

What is Freestream Velocity at Stagnation Point for Flow over Sphere?

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 and is represented as V_∞ = μ/(2*pi*R_s^3) or Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3). Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength & Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

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

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 is calculated using Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3). To calculate Freestream Velocity at Stagnation Point for Flow over Sphere, you need Doublet Strength (μ) & Radius of Sphere (R_s). With our tool, you need to enter the respective value for Doublet Strength & Radius of Sphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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