Aerodynamic Heating to Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)
qw = ρe*ue*St*(haw-hw)
This formula uses 6 Variables
Variables Used
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - 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.
Static Density - (Measured in Kilogram per Cubic Meter) - 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.
Static Velocity - (Measured in Meter per Second) - The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid conditions.
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.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - 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.
Wall Enthalpy - (Measured in Joule per Kilogram) - 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.
STEP 1: Convert Input(s) to Base Unit
Static Density: 98.3 Kilogram per Cubic Meter --> 98.3 Kilogram per Cubic Meter No Conversion Required
Static Velocity: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required
Stanton Number: 0.005956 --> No Conversion Required
Adiabatic Wall Enthalpy: 102 Joule per Kilogram --> 102 Joule per Kilogram No Conversion Required
Wall Enthalpy: 99.2 Joule per Kilogram --> 99.2 Joule per Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qw = ρe*ue*St*(haw-hw) --> 98.3*8.8*0.005956*(102-99.2)
Evaluating ... ...
qw = 14.426099072
STEP 3: Convert Result to Output's Unit
14.426099072 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
14.426099072 14.4261 Watt per Square Meter <-- Local Heat Transfer Rate
(Calculation completed in 00.004 seconds)

Credits

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
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Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Aero Thermal Dynamics Calculators

Aerodynamic Heating to Surface
​ LaTeX ​ Go Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)
Non Dimensional Internal Energy Parameter
​ LaTeX ​ Go Non-Dimensional Internal Energy = Internal Energy/(Specific Heat Capacity at Constant Pressure*Temperature)
Non Dimensional Internal Energy Parameter using Wall-to-Freestream Temperature Ratio
​ LaTeX ​ Go Non-Dimensional Internal Energy = Wall Temperature/Free Stream Temperature
Wall Temperature Calculation using Internal Energy Change
​ LaTeX ​ Go Wall Temperature = Non-Dimensional Internal Energy*Free Stream Temperature

Aerodynamic Heating to Surface Formula

​LaTeX ​Go
Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)
qw = ρe*ue*St*(haw-hw)

What is Stanton number?

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

How to Calculate Aerodynamic Heating to Surface?

Aerodynamic Heating to Surface calculator uses Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy) to calculate 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 qw symbol.

How to calculate Aerodynamic Heating to Surface using this online calculator? To use this online calculator for Aerodynamic Heating to Surface, enter Static Density e), Static Velocity (ue), Stanton Number (St), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw) and hit the calculate button. Here is how the Aerodynamic Heating to Surface calculation can be explained with given input values -> 14.4261 = 98.3*8.8*0.005956*(102-99.2).

FAQ

What is Aerodynamic Heating to Surface?
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 and is represented as qw = ρe*ue*St*(haw-hw) or Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy). 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, The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid conditions, The Stanton Number is a dimensionless quantity that characterizes the heat transfer in fluid flow, indicating the relationship between heat transfer and fluid dynamics, 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 & 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.
How to calculate Aerodynamic Heating to Surface?
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 is calculated using Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy). To calculate Aerodynamic Heating to Surface, you need Static Density e), Static Velocity (ue), Stanton Number (St), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw). With our tool, you need to enter the respective value for Static Density, Static Velocity, Stanton Number, Adiabatic Wall Enthalpy & Wall Enthalpy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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