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Enthalpy of Wall using Stanton Number Formula

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

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

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

Enthalpy of Wall using Stanton Number Example

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

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

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

99.1591 = 102 - \frac{12000}{1200 \cdot 8.8 \cdot 0.4}

99.1591J/kg = 102J/kg - \frac{12000W/m²}{1200kg/m³ \cdot 8.8m/s \cdot 0.4}

99.1591 = 102 - \frac{12000}{1200 \cdot 8.8 \cdot 0.4}

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Enthalpy of Wall using Stanton Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h w = 102J/kg - \frac{12000W/m²}{1200kg/m³ \cdot 8.8m/s \cdot 0.4}

Next Step Prepare to Evaluate

∴

h w = 102 - \frac{12000}{1200 \cdot 8.8 \cdot 0.4}

Next Step Evaluate

∴

h w = 99.1590909090909J/kg

LAST Step Rounding Answer

∴

h w = 99.1591J/kg

Enthalpy of Wall using Stanton Number Formula Elements

Variables

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

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

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 Enthalpy of Wall using Stanton Number?

Enthalpy of Wall using Stanton Number evaluator uses Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number) to evaluate the Wall Enthalpy, Enthalpy of Wall using Stanton Number formula is defined as a measure of the total energy of the wall in a hypersonic flow boundary layer, which is a critical parameter in understanding heat transfer and fluid dynamics in high-speed flows. Wall Enthalpy is denoted by h_w symbol.

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

FAQs on Enthalpy of Wall using Stanton Number

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

The formula of Enthalpy of Wall using Stanton Number is expressed as Wall Enthalpy = Adiabatic Wall Enthalpy-Local Heat Transfer Rate/(Static Density*Static Velocity*Stanton Number). Here is an example- 99.15909 = 102-12000/(1200*8.8*0.4).

How to calculate Enthalpy of Wall using Stanton Number?

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

Can the Enthalpy of Wall using Stanton Number be negative?

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

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

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

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Enthalpy of Wall using Stanton Number Formula

Enthalpy of Wall using Stanton Number Example

Enthalpy of Wall using Stanton Number Solution

Enthalpy of Wall using Stanton Number Formula Elements

Other formulas in Local Heat Transfer for Hypersonic Flow category

How to Evaluate Enthalpy of Wall using Stanton Number?

FAQs on Enthalpy of Wall using Stanton Number

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