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Freestream Stanton Number for Flat Plate Formula

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The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid. 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.

20.4082 = \frac{12000}{2.1 \cdot 100 \cdot (102 - 99.2)}

20.4082 = \frac{12000W/m²}{2.1kg/m³ \cdot 100m/s \cdot (102J/kg - 99.2J/kg)}

20.4082 = \frac{12000}{2.1 \cdot 100 \cdot (102 - 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 (102J/kg - 99.2J/kg)}

Next Step Prepare to Evaluate

∴

St = \frac{12000}{2.1 \cdot 100 \cdot (102 - 99.2)}

Next Step Evaluate

∴

St = 20.4081632653061

LAST Step Rounding Answer

∴

St = 20.4082

Freestream Stanton Number for Flat Plate Formula Elements

Variables

Stanton Number

The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stanton Number

Local Heat Transfer Rate

Local Heat Transfer Rate, is that energy per second per unit area.

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

Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

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 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

Adiabatic Wall Enthalpy

Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

Symbol: h_aw

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Enthalpy

Wall Enthalpy

Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

Symbol: h_w

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Wall Enthalpy

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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 the interrelation between, local heat transfer rate, freestream density, freestream velocity, adiabatic wall enthalpy, and wall enthalpy. 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- 0.70809 = 12000/(2.1*100*(102-99.2)).

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

Variable Name