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Free Stream Velocity over Flat Plate with Freestream Conditions Formula

GoFreestream Velocity over Flat Plate using Stanton Number Formula

GoFree Stream Velocity over Flat Plate using Drag Force 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 ∞ = \sqrt{2 \cdot (h 0 - h ∞)}

V_∞ - Freestream Velocity?h₀ - Total Specific Enthalpy?h_∞ - Freestream Specific Enthalpy?

Free Stream Velocity over Flat Plate with Freestream Conditions Example

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Here is how the Free Stream Velocity over Flat Plate with Freestream Conditions equation looks like with Values.

Here is how the Free Stream Velocity over Flat Plate with Freestream Conditions equation looks like with Units.

Here is how the Free Stream Velocity over Flat Plate with Freestream Conditions equation looks like.

12.5698 = \sqrt{2 \cdot (200 - 121)}

12.5698m/s = \sqrt{2 \cdot (200J/kg - 121J/kg)}

12.5698 = \sqrt{2 \cdot (200 - 121)}

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Free Stream Velocity over Flat Plate with Freestream Conditions Solution

Follow our step by step solution on how to calculate Free Stream Velocity over Flat Plate with Freestream Conditions?

FIRST Step Consider the formula

V ∞ = \sqrt{2 \cdot (h 0 - h ∞)}

Next Step Substitute values of Variables

∴

V ∞ = \sqrt{2 \cdot (200J/kg - 121J/kg)}

Next Step Prepare to Evaluate

∴

V ∞ = \sqrt{2 \cdot (200 - 121)}

Next Step Evaluate

∴

V ∞ = 12.5698050899765m/s

LAST Step Rounding Answer

∴

V ∞ = 12.5698m/s

Free Stream Velocity over Flat Plate with Freestream Conditions Formula Elements

Variables

Functions

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

Total Specific Enthalpy

Total Specific Enthalpy defined to be the sum of the internal energy E plus the product of the pressure p and volume V.

Symbol: h₀

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Total Specific Enthalpy

Freestream Specific Enthalpy

Freestream specific enthalpy is the enthalpy of the continuous flow of fluid and the sum of the internal energy E plus the product of the pressure p and volume V.

Symbol: h_∞

Measurement: Specific EnergyUnit: J/kg

Note: Value can be positive or negative.

Formulas to find Freestream Specific Enthalpy

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Freestream Velocity

Go Freestream Velocity over Flat Plate using Stanton Number

V ∞ = \frac{q w}{St \cdot ρ ∞ \cdot (h aw - h w)}

Go Free Stream Velocity over Flat Plate using Drag Force

V ∞ = \sqrt{\frac{F D}{0.5 \cdot ρ ∞ \cdot S \cdot C D}}

Other formulas in Approximate Results Applied to Hypersonic Vehicles category

Go Freestream Stanton Number for Flat Plate

St = \frac{q w}{ρ ∞ \cdot V ∞ \cdot (h aw - h w)}

Go Local Heat Transfer over Flat Plate using Stanton Number

q w = St \cdot ρ ∞ \cdot V ∞ \cdot (h aw - h w)

Go Freestream Density over Flat Plate using Stanton Number

ρ ∞ = \frac{q w}{St \cdot V ∞ \cdot (h aw - h w)}

Go Adiabatic Wall Enthalpy over Flat Plate using Stanton Number

h aw = \frac{q w}{ρ ∞ \cdot V ∞ \cdot St} + h w

How to Evaluate Free Stream Velocity over Flat Plate with Freestream Conditions?

Free Stream Velocity over Flat Plate with Freestream Conditions evaluator uses Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy)) to evaluate the Freestream Velocity, The Free stream velocity over flat plate with freestream conditions formula is defined as the square root of double the difference in total enthalpy and freestream enthalpy. Freestream Velocity is denoted by V_∞ symbol.

How to evaluate Free Stream Velocity over Flat Plate with Freestream Conditions using this online evaluator? To use this online evaluator for Free Stream Velocity over Flat Plate with Freestream Conditions, enter Total Specific Enthalpy (h₀) & Freestream Specific Enthalpy (h_∞) and hit the calculate button.

FAQs on Free Stream Velocity over Flat Plate with Freestream Conditions

What is the formula to find Free Stream Velocity over Flat Plate with Freestream Conditions?

The formula of Free Stream Velocity over Flat Plate with Freestream Conditions is expressed as Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy)). Here is an example- 12.56981 = sqrt(2*(200-121)).

How to calculate Free Stream Velocity over Flat Plate with Freestream Conditions?

With Total Specific Enthalpy (h₀) & Freestream Specific Enthalpy (h_∞) we can find Free Stream Velocity over Flat Plate with Freestream Conditions using the formula - Freestream Velocity = sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Freestream Velocity?

Here are the different ways to Calculate Freestream Velocity-

Freestream Velocity=Local Heat Transfer Rate/(Stanton Number*Freestream density*(Adiabatic Wall Enthalpy-Wall Enthalpy))
Freestream Velocity=sqrt(Drag Force/(0.5*Freestream density*Reference Area*Drag Coefficient))

Can the Free Stream Velocity over Flat Plate with Freestream Conditions be negative?

Yes, the Free Stream Velocity over Flat Plate with Freestream Conditions, measured in Speed can be negative.

Which unit is used to measure Free Stream Velocity over Flat Plate with Freestream Conditions?

Free Stream Velocity over Flat Plate with Freestream Conditions 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 Free Stream Velocity over Flat Plate with Freestream Conditions can be measured.

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