Freestream Velocity given Maximum Surface Velocity 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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✖Maximum Surface Velocity is the velocity the fluid can reach when it is flowing over the surface of the body.ⓘ Maximum Surface Velocity [V_s,max]

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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.ⓘ Freestream Velocity given Maximum Surface Velocity [V_∞]

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Formula

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Freestream Velocity given Maximum Surface Velocity

Formula

`"V"_{"∞"} = 2/3*"V"_{"s,max"}`

Example

`"68m/s"=2/3*"102m/s"`

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Freestream Velocity given Maximum Surface Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Velocity = 2/3*Maximum Surface Velocity
V_∞ = 2/3*V_s,max
This formula uses 2 Variables

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.
Maximum Surface Velocity - (Measured in Meter per Second) - Maximum Surface Velocity is the velocity the fluid can reach when it is flowing over the surface of the body.

STEP 1: Convert Input(s) to Base Unit

Maximum Surface Velocity: 102 Meter per Second --> 102 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = 2/3*V_s,max --> 2/3*102

Evaluating ... ...

V_∞ = 68

STEP 3: Convert Result to Output's Unit

68 Meter per Second --> No Conversion Required

FINAL ANSWER

68 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.004 seconds)

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< 5 Surface Velocity Calculators

Polar Coordinate given Surface Velocity for Flow over Sphere

Go Polar Angle = asin(2/3*Tangential Velocity/Freestream Velocity)

Freestream Velocity given Surface Velocity for Flow over Sphere

Go Freestream Velocity = 2/3*Tangential Velocity/sin(Polar Angle)

Surface Velocity for Incompressible Flow over Sphere

Go Tangential Velocity = 3/2*Freestream Velocity*sin(Polar Angle)

Freestream Velocity given Maximum Surface Velocity

Go Freestream Velocity = 2/3*Maximum Surface Velocity

Maximum Surface Velocity for Flow over Sphere

Go Maximum Surface Velocity = 3/2*Freestream Velocity

Freestream Velocity given Maximum Surface Velocity Formula

Freestream Velocity = 2/3*Maximum Surface Velocity
V_∞ = 2/3*V_s,max

What are the characteristics of the flow field near and far from the sphere?

The flow lines are straight and uniform in the free stream far in front of the sphere, but they are deflected as they pass around the sphere. For a large distance away from the sphere the flow lines become somewhat more widely spaced, indicating that the fluid velocity is less than the free-stream velocity.

How to Calculate Freestream Velocity given Maximum Surface Velocity?

Freestream Velocity given Maximum Surface Velocity calculator uses Freestream Velocity = 2/3*Maximum Surface Velocity to calculate the Freestream Velocity, The Freestream Velocity given Maximum Surface Velocity formula calculates the uniform velocity of the fluid flowing over a sphere called freestream velocity when the maximum velocity at the surface of the sphere is known. Freestream Velocity is denoted by V_∞ symbol.

How to calculate Freestream Velocity given Maximum Surface Velocity using this online calculator? To use this online calculator for Freestream Velocity given Maximum Surface Velocity, enter Maximum Surface Velocity (V_s,max) and hit the calculate button. Here is how the Freestream Velocity given Maximum Surface Velocity calculation can be explained with given input values -> 16.66667 = 2/3*102.

FAQ

What is Freestream Velocity given Maximum Surface Velocity?

The Freestream Velocity given Maximum Surface Velocity formula calculates the uniform velocity of the fluid flowing over a sphere called freestream velocity when the maximum velocity at the surface of the sphere is known and is represented as V_∞ = 2/3*V_s,max or Freestream Velocity = 2/3*Maximum Surface Velocity. Maximum Surface Velocity is the velocity the fluid can reach when it is flowing over the surface of the body.

How to calculate Freestream Velocity given Maximum Surface Velocity?

The Freestream Velocity given Maximum Surface Velocity formula calculates the uniform velocity of the fluid flowing over a sphere called freestream velocity when the maximum velocity at the surface of the sphere is known is calculated using Freestream Velocity = 2/3*Maximum Surface Velocity. To calculate Freestream Velocity given Maximum Surface Velocity, you need Maximum Surface Velocity (V_s,max). With our tool, you need to enter the respective value for Maximum Surface Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Freestream Velocity?

In this formula, Freestream Velocity uses Maximum Surface Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Freestream Velocity = 2/3*Tangential Velocity/sin(Polar Angle)

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