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Freestream Velocity over Flat Plate using Stanton Number Formula

GoFree Stream Velocity over Flat Plate with Freestream Conditions Formula

GoFree Stream Velocity over Flat Plate using Drag Force Formula

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The Freestream Velocity is the speed of fluid flow far away from any influence of objects, crucial for analyzing hypersonic vehicle performance and aerodynamic characteristics. Check FAQs

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

V_∞ - Freestream Velocity?q_w - Local Heat Transfer Rate?St - Stanton Number?ρ_∞ - Freestream Density?h_aw - Adiabatic Wall Enthalpy?h_w - Wall Enthalpy?

Freestream Velocity over Flat Plate using Stanton Number Example

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Here is how the Freestream Velocity over Flat Plate using Stanton Number equation looks like with Values.

Here is how the Freestream Velocity over Flat Plate using Stanton Number equation looks like with Units.

Here is how the Freestream Velocity over Flat Plate using Stanton Number equation looks like.

100.0001 = \frac{12000}{2 \cdot 2.1 \cdot (127.7714 - 99.2)}

100.0001m/s = \frac{12000W/m²}{2 \cdot 2.1kg/m³ \cdot (127.7714J/kg - 99.2J/kg)}

100.0001 = \frac{12000}{2 \cdot 2.1 \cdot (127.7714 - 99.2)}

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Freestream Velocity over Flat Plate using Stanton Number Solution

Follow our step by step solution on how to calculate Freestream Velocity over Flat Plate using Stanton Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V ∞ = \frac{12000W/m²}{2 \cdot 2.1kg/m³ \cdot (127.7714J/kg - 99.2J/kg)}

Next Step Prepare to Evaluate

∴

V ∞ = \frac{12000}{2 \cdot 2.1 \cdot (127.7714 - 99.2)}

Next Step Evaluate

∴

V ∞ = 100.0001000001m/s

LAST Step Rounding Answer

∴

V ∞ = 100.0001m/s

Freestream Velocity over Flat Plate using Stanton Number Formula Elements

Variables

Freestream Velocity

The Freestream Velocity is the speed of fluid flow far away from any influence of objects, crucial for analyzing hypersonic vehicle performance and aerodynamic characteristics.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Local Heat Transfer Rate

The Local Heat Transfer Rate is the measure of heat energy transfer per unit area in hypersonic vehicles, crucial for understanding thermal management and material performance.

Symbol: q_w

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Local Heat Transfer Rate

Stanton Number

The Stanton Number is a dimensionless quantity that characterizes the heat transfer between a fluid and a surface, particularly in the context of hypersonic vehicles.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stanton Number

Freestream Density

The Freestream Density is the mass per unit volume of air in the flow field surrounding a hypersonic vehicle, crucial for understanding aerodynamic performance.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Adiabatic Wall Enthalpy

The Adiabatic Wall Enthalpy is the heat content of a system under adiabatic conditions, relevant for understanding thermal dynamics in hypersonic vehicles.

Symbol: h_aw

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Enthalpy

Wall Enthalpy

The Wall Enthalpy is the measure of energy transfer at the surface of hypersonic vehicles, reflecting the thermal conditions experienced during high-speed flight.

Symbol: h_w

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Wall Enthalpy

Other Formulas to find Freestream Velocity

Go Free Stream Velocity over Flat Plate with Freestream Conditions

V ∞ = \sqrt{2 \cdot (h 0 - h ∞)}

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 Freestream Velocity over Flat Plate using Stanton Number?

Freestream Velocity over Flat Plate using Stanton Number evaluator uses Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to evaluate the Freestream Velocity, Freestream Velocity over Flat Plate using Stanton Number formula is defined as a measure of the velocity of the fluid approaching the flat plate in a viscous flow case, which is essential in understanding the heat transfer and fluid flow characteristics over the plate. Freestream Velocity is denoted by V_∞ symbol.

How to evaluate Freestream Velocity over Flat Plate using Stanton Number using this online evaluator? To use this online evaluator for Freestream Velocity over Flat Plate using Stanton Number, enter Local Heat Transfer Rate (q_w), Stanton Number (St), Freestream Density (ρ_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button.

FAQs on Freestream Velocity over Flat Plate using Stanton Number

What is the formula to find Freestream Velocity over Flat Plate using Stanton Number?

The formula of Freestream Velocity over Flat Plate using Stanton Number is expressed as Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Here is an example- 1020.408 = 12000/(2*2.1*(127.7714-99.2)).

How to calculate Freestream Velocity over Flat Plate using Stanton Number?

With Local Heat Transfer Rate (q_w), Stanton Number (St), Freestream Density (ρ_∞), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) we can find Freestream Velocity over Flat Plate using Stanton Number using the formula - Freestream Velocity = Local Heat Transfer Rate/(Stanton Number*Freestream Density*(Adiabatic Wall Enthalpy-Wall Enthalpy)).

What are the other ways to Calculate Freestream Velocity?

Here are the different ways to Calculate Freestream Velocity-

Freestream Velocity=sqrt(2*(Total Specific Enthalpy-Freestream Specific Enthalpy))
Freestream Velocity=sqrt(Drag Force/(0.5*Freestream Density*Reference Area*Drag Coefficient))

Can the Freestream Velocity over Flat Plate using Stanton Number be negative?

Yes, the Freestream Velocity over Flat Plate using Stanton Number, measured in Speed can be negative.

Which unit is used to measure Freestream Velocity over Flat Plate using Stanton Number?

Freestream Velocity over Flat Plate using Stanton Number 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 Freestream Velocity over Flat Plate using Stanton Number can be measured.

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Freestream Velocity over Flat Plate using Stanton Number Formula

​GoFree Stream Velocity over Flat Plate with Freestream Conditions Formula

​GoFree Stream Velocity over Flat Plate using Drag Force Formula

Freestream Velocity over Flat Plate using Stanton Number Example

Freestream Velocity over Flat Plate using Stanton Number Solution

Freestream Velocity over Flat Plate using Stanton Number Formula Elements

Other Formulas to find Freestream Velocity

Other formulas in Approximate Results Applied to Hypersonic Vehicles category

How to Evaluate Freestream Velocity over Flat Plate using Stanton Number?

FAQs on Freestream Velocity over Flat Plate using Stanton Number

Variable Name

GoFree Stream Velocity over Flat Plate with Freestream Conditions Formula

GoFree Stream Velocity over Flat Plate using Drag Force Formula