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Aerodynamic Heating to Surface Formula

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The Local Heat Transfer Rate is the measure of heat energy transfer per unit area at a specific location within a fluid flow, crucial for thermal management in engineering applications. Check FAQs

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

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

Aerodynamic Heating to Surface Example

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Here is how the Aerodynamic Heating to Surface equation looks like with Values.

Here is how the Aerodynamic Heating to Surface equation looks like with Units.

Here is how the Aerodynamic Heating to Surface equation looks like.

14.4261 = 98.3 \cdot 8.8 \cdot 0.006 \cdot (102 - 99.2)

14.4261W/m² = 98.3kg/m³ \cdot 8.8m/s \cdot 0.006 \cdot (102J/kg - 99.2J/kg)

14.4261 = 98.3 \cdot 8.8 \cdot 0.006 \cdot (102 - 99.2)

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Aerodynamic Heating to Surface Solution

Follow our step by step solution on how to calculate Aerodynamic Heating to Surface?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q w = 98.3kg/m³ \cdot 8.8m/s \cdot 0.006 \cdot (102J/kg - 99.2J/kg)

Next Step Prepare to Evaluate

∴

q w = 98.3 \cdot 8.8 \cdot 0.006 \cdot (102 - 99.2)

Next Step Evaluate

∴

q w = 14.426099072W/m²

LAST Step Rounding Answer

∴

q w = 14.4261W/m²

Aerodynamic Heating to Surface Formula Elements

Variables

Local Heat Transfer Rate

The Local Heat Transfer Rate is the measure of heat energy transfer per unit area at a specific location within a fluid flow, crucial for thermal management in engineering applications.

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 mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various engineering applications, especially in hypersonic flow dynamics.

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 a fluid at a specific point in a flow field, measured relative to the surrounding fluid conditions.

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 that characterizes the heat transfer in fluid flow, indicating the relationship between heat transfer and fluid dynamics.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

Adiabatic Wall Enthalpy

The Adiabatic Wall Enthalpy is the total heat content of a fluid in contact with an adiabatic wall, reflecting energy transfer during viscous flow in hypersonic conditions.

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 thermal energy per unit mass at the wall interface in fluid mechanics, particularly in hypersonic and viscous flow scenarios.

Symbol: h_w

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Wall Enthalpy

Other formulas in Aero Thermal Dynamics category

Go Non Dimensional Internal Energy Parameter

e' = \frac{U}{C p \cdot T}

Go Non Dimensional Internal Energy Parameter using Wall-to-Freestream Temperature Ratio

e' = \frac{Tw}{T ∞}

Go Wall Temperature Calculation using Internal Energy Change

Tw = e' \cdot T ∞

Go Internal Energy for Hypersonic Flow

U = H + \frac{P}{ρ}

How to Evaluate Aerodynamic Heating to Surface?

Aerodynamic Heating to Surface evaluator uses Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy) to evaluate the Local Heat Transfer Rate, Aerodynamic Heating to Surface formula is defined as a measure of the heat transfer rate per unit area from the surrounding air to the surface of an object, typically an aircraft or spacecraft, due to friction and air resistance during high-speed flight. Local Heat Transfer Rate is denoted by q_w symbol.

How to evaluate Aerodynamic Heating to Surface using this online evaluator? To use this online evaluator for Aerodynamic Heating to Surface, enter Static Density (ρ_e), Static Velocity (u_e), Stanton Number (St), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button.

FAQs on Aerodynamic Heating to Surface

What is the formula to find Aerodynamic Heating to Surface?

The formula of Aerodynamic Heating to Surface is expressed as Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy). Here is an example- 14.4261 = 98.3*8.8*0.005956*(102-99.2).

How to calculate Aerodynamic Heating to Surface?

With Static Density (ρ_e), Static Velocity (u_e), Stanton Number (St), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) we can find Aerodynamic Heating to Surface using the formula - Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy).

Can the Aerodynamic Heating to Surface be negative?

No, the Aerodynamic Heating to Surface, measured in Heat Flux Density cannot be negative.

Which unit is used to measure Aerodynamic Heating to Surface?

Aerodynamic Heating to Surface is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Aerodynamic Heating to Surface can be measured.

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Aerodynamic Heating to Surface Formula

Aerodynamic Heating to Surface Example

Aerodynamic Heating to Surface Solution

Aerodynamic Heating to Surface Formula Elements

Other formulas in Aero Thermal Dynamics category

How to Evaluate Aerodynamic Heating to Surface?

FAQs on Aerodynamic Heating to Surface

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