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Freestream Stanton Number for Flat Plate Formula

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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. Check FAQs

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

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

Freestream Stanton Number for Flat Plate Example

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Here is how the Freestream Stanton Number for Flat Plate equation looks like with Values.

Here is how the Freestream Stanton Number for Flat Plate equation looks like with Units.

Here is how the Freestream Stanton Number for Flat Plate equation looks like.

2 = \frac{12000}{2.1 \cdot 100 \cdot (127.7714 - 99.2)}

2 = \frac{12000W/m²}{2.1kg/m³ \cdot 100m/s \cdot (127.7714J/kg - 99.2J/kg)}

2 = \frac{12000}{2.1 \cdot 100 \cdot (127.7714 - 99.2)}

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Freestream Stanton Number for Flat Plate Solution

Follow our step by step solution on how to calculate Freestream Stanton Number for Flat Plate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

St = \frac{12000W/m²}{2.1kg/m³ \cdot 100m/s \cdot (127.7714J/kg - 99.2J/kg)}

Next Step Prepare to Evaluate

∴

St = \frac{12000}{2.1 \cdot 100 \cdot (127.7714 - 99.2)}

Next Step Evaluate

∴

St = 2.000002000002

LAST Step Rounding Answer

∴

St = 2

Freestream Stanton Number for Flat Plate Formula Elements

Variables

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

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

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

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

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 in Approximate Results Applied to Hypersonic Vehicles category

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 Freestream Velocity over Flat Plate using Stanton Number

V ∞ = \frac{q w}{St \cdot ρ ∞ \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 Stanton Number for Flat Plate?

Freestream Stanton Number for Flat Plate evaluator uses Stanton Number = Local Heat Transfer Rate/(Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to evaluate the Stanton Number, Freestream Stanton Number for Flat Plate formula is defined as a dimensionless quantity that characterizes the heat transfer between a flat plate and a fluid flowing over it, providing a measure of the convective heat transfer coefficient under viscous flow conditions. Stanton Number is denoted by St symbol.

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

FAQs on Freestream Stanton Number for Flat Plate

What is the formula to find Freestream Stanton Number for Flat Plate?

The formula of Freestream Stanton Number for Flat Plate is expressed as Stanton Number = Local Heat Transfer Rate/(Freestream Density*Freestream Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Here is an example- 20.40816 = 12000/(2.1*100*(127.7714-99.2)).

How to calculate Freestream Stanton Number for Flat Plate?

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

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Freestream Stanton Number for Flat Plate Formula

Freestream Stanton Number for Flat Plate Example

Freestream Stanton Number for Flat Plate Solution

Freestream Stanton Number for Flat Plate Formula Elements

Other formulas in Approximate Results Applied to Hypersonic Vehicles category

How to Evaluate Freestream Stanton Number for Flat Plate?

FAQs on Freestream Stanton Number for Flat Plate

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