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Adiabatic Wall Enthalpy using Stanton Number Formula

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The Adiabatic Wall Enthalpy is the total enthalpy of a gas at the wall of a hypersonic vehicle, considering the heat transfer and friction effects. Check FAQs

h aw = \frac{q w}{ρ e \cdot u e \cdot St} + h w

h_aw - Adiabatic Wall Enthalpy?q_w - Local Heat Transfer Rate?ρ_e - Static Density?u_e - Static Velocity?St - Stanton Number?h_w - Wall Enthalpy?

Adiabatic Wall Enthalpy using Stanton Number Example

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Here is how the Adiabatic Wall Enthalpy using Stanton Number equation looks like with Values.

Here is how the Adiabatic Wall Enthalpy using Stanton Number equation looks like with Units.

Here is how the Adiabatic Wall Enthalpy using Stanton Number equation looks like.

102.0409 = \frac{12000}{1200 \cdot 8.8 \cdot 0.4} + 99.2

102.0409J/kg = \frac{12000W/m²}{1200kg/m³ \cdot 8.8m/s \cdot 0.4} + 99.2J/kg

102.0409 = \frac{12000}{1200 \cdot 8.8 \cdot 0.4} + 99.2

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Adiabatic Wall Enthalpy using Stanton Number Solution

Follow our step by step solution on how to calculate Adiabatic Wall Enthalpy using Stanton Number?

FIRST Step Consider the formula

h aw = \frac{q w}{ρ e \cdot u e \cdot St} + h w

Next Step Substitute values of Variables

∴

h aw = \frac{12000W/m²}{1200kg/m³ \cdot 8.8m/s \cdot 0.4} + 99.2J/kg

Next Step Prepare to Evaluate

∴

h aw = \frac{12000}{1200 \cdot 8.8 \cdot 0.4} + 99.2

Next Step Evaluate

∴

h aw = 102.040909090909J/kg

LAST Step Rounding Answer

∴

h aw = 102.0409J/kg

Adiabatic Wall Enthalpy using Stanton Number Formula Elements

Variables

Adiabatic Wall Enthalpy

The Adiabatic Wall Enthalpy is the total enthalpy of a gas at the wall of a hypersonic vehicle, considering the heat transfer and friction effects.

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 amount of heat transferred per unit area per unit time from the surface to the fluid in a hypersonic boundary layer.

Symbol: q_w

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Local Heat Transfer Rate

Static Density

The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Static Velocity

The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Stanton Number

The Stanton Number is a dimensionless quantity used to characterize heat transfer and frictional drag in the boundary layer of hypersonic flow.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

Wall Enthalpy

The Wall Enthalpy is the total heat content of the wall boundary layer in a hypersonic flow, including both sensible and latent heat components.

Symbol: h_w

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Wall Enthalpy

Other formulas in Local Heat Transfer for Hypersonic Flow category

Go Nusselt Number for Hypersonic Vehicle

N u = \frac{q w \cdot x d}{k \cdot (T wall - Tw)}

Go Local Heat Transfer Rate using Nusselt's Number

q w = \frac{N u \cdot k \cdot (T wall - Tw)}{x d}

Go Thermal Conductivity at Edge of Boundary Layer Equation using Nusselt's Number

k = \frac{q w \cdot x d}{N u \cdot (T wall - Tw)}

Go Stanton Number for Hypersonic Vehicle

St = \frac{q w}{ρ e \cdot u e \cdot (h aw - h w)}

How to Evaluate Adiabatic Wall Enthalpy using Stanton Number?

Adiabatic Wall Enthalpy using Stanton Number evaluator uses Adiabatic Wall Enthalpy = Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number)+Wall Enthalpy to evaluate the Adiabatic Wall Enthalpy, Adiabatic Wall Enthalpy using Stanton Number formula is defined as a measure of the total heat transfer between the wall and the fluid in a hypersonic flow, which is a critical parameter in understanding the heat shield design and thermal protection of spacecraft during re-entry into the Earth's atmosphere. Adiabatic Wall Enthalpy is denoted by h_aw symbol.

How to evaluate Adiabatic Wall Enthalpy using Stanton Number using this online evaluator? To use this online evaluator for Adiabatic Wall Enthalpy using Stanton Number, enter Local Heat Transfer Rate (q_w), Static Density (ρ_e), Static Velocity (u_e), Stanton Number (St) & Wall Enthalpy (h_w) and hit the calculate button.

FAQs on Adiabatic Wall Enthalpy using Stanton Number

What is the formula to find Adiabatic Wall Enthalpy using Stanton Number?

The formula of Adiabatic Wall Enthalpy using Stanton Number is expressed as Adiabatic Wall Enthalpy = Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number)+Wall Enthalpy. Here is an example- 102.0409 = 12000/(1200*8.8*0.4)+99.2.

How to calculate Adiabatic Wall Enthalpy using Stanton Number?

With Local Heat Transfer Rate (q_w), Static Density (ρ_e), Static Velocity (u_e), Stanton Number (St) & Wall Enthalpy (h_w) we can find Adiabatic Wall Enthalpy using Stanton Number using the formula - Adiabatic Wall Enthalpy = Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number)+Wall Enthalpy.

Can the Adiabatic Wall Enthalpy using Stanton Number be negative?

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

Which unit is used to measure Adiabatic Wall Enthalpy using Stanton Number?

Adiabatic Wall Enthalpy 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 Adiabatic Wall Enthalpy using Stanton Number can be measured.

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Adiabatic Wall Enthalpy using Stanton Number Formula

Adiabatic Wall Enthalpy using Stanton Number Example

Adiabatic Wall Enthalpy using Stanton Number Solution

Adiabatic Wall Enthalpy using Stanton Number Formula Elements

Other formulas in Local Heat Transfer for Hypersonic Flow category

How to Evaluate Adiabatic Wall Enthalpy using Stanton Number?

FAQs on Adiabatic Wall Enthalpy using Stanton Number

Variable Name