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Wall Enthalpy over Flat Plate using Stanton Number Formula

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

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

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

Wall Enthalpy over Flat Plate using Stanton Number Example

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

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

Here is how the Wall Enthalpy over Flat Plate using Stanton Number equation looks like.

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

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

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

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Wall Enthalpy over Flat Plate using Stanton Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

h w = 127.7714 - \frac{12000}{2.1 \cdot 100 \cdot 2}

Next Step Evaluate

∴

h w = 99.1999714285714J/kg

LAST Step Rounding Answer

∴

h w = 99.2J/kg

Wall Enthalpy over Flat Plate using Stanton Number Formula Elements

Variables

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

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

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

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

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 Freestream Velocity over Flat Plate using Stanton Number

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

How to Evaluate Wall Enthalpy over Flat Plate using Stanton Number?

Wall Enthalpy over Flat Plate using Stanton Number evaluator uses Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Freestream Density*Freestream Velocity*Stanton Number) to evaluate the Wall Enthalpy, Wall Enthalpy over Flat Plate using Stanton Number formula is defined as a measure of the total heat transfer coefficient that takes into account the heat transfer due to convection and radiation over a flat plate in a viscous flow case, providing a comprehensive understanding of the heat transfer phenomenon. Wall Enthalpy is denoted by h_w symbol.

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

FAQs on Wall Enthalpy over Flat Plate using Stanton Number

What is the formula to find Wall Enthalpy over Flat Plate using Stanton Number?

The formula of Wall Enthalpy over Flat Plate using Stanton Number is expressed as Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Freestream Density*Freestream Velocity*Stanton Number). Here is an example- 73.42857 = 127.7714-12000/(2.1*100*2).

How to calculate Wall Enthalpy over Flat Plate using Stanton Number?

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

Can the Wall Enthalpy over Flat Plate using Stanton Number be negative?

No, the Wall Enthalpy over Flat Plate using Stanton Number, measured in Specific Energy cannot be negative.

Which unit is used to measure Wall Enthalpy over Flat Plate using Stanton Number?

Wall Enthalpy over Flat Plate using Stanton Number is usually measured using the Joule per Kilogram[J/kg] for Specific Energy. Joule per Gram[J/kg], Joule per Centigram[J/kg], Square Meter per Square Second[J/kg] are the few other units in which Wall Enthalpy over Flat Plate using Stanton Number can be measured.

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Wall Enthalpy over Flat Plate using Stanton Number Formula

Wall Enthalpy over Flat Plate using Stanton Number Example

Wall Enthalpy over Flat Plate using Stanton Number Solution

Wall Enthalpy over Flat Plate using Stanton Number Formula Elements

Other formulas in Approximate Results Applied to Hypersonic Vehicles category

How to Evaluate Wall Enthalpy over Flat Plate using Stanton Number?

FAQs on Wall Enthalpy over Flat Plate using Stanton Number

Variable Name