Aerodynamic Heating Equation for Stanton number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))
St = qw/(ρe*ue*(haw-hw))
This formula uses 6 Variables
Variables Used
Stanton Number - The Stanton Number is a dimensionless quantity that measures the heat transfer efficiency in fluid flow over a surface, particularly in hypersonic flow scenarios.
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 on a surface in a fluid flow.
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 mechanical and engineering applications.
Static Velocity - (Measured in Meter per Second) - The Static Velocity is the speed of a fluid at a specific point in a flow field, unaffected by the motion of the surrounding fluid.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - The Adiabatic Wall Enthalpy is the heat content of a fluid in contact with an adiabatic wall, reflecting energy transfer during viscous flow conditions.
Wall Enthalpy - (Measured in Joule per Kilogram) - The Wall Enthalpy is the measure of thermal energy per unit mass at the wall surface in viscous flow, influencing heat transfer and fluid behavior.
STEP 1: Convert Input(s) to Base Unit
Local Heat Transfer Rate: 12000 Watt per Square Meter --> 12000 Watt per Square Meter No Conversion Required
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
Adiabatic Wall Enthalpy: 144.544 Joule per Kilogram --> 144.544 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
St = qw/(ρe*ue*(haw-hw)) --> 12000/(98.3*8.8*(144.544-99.2))
Evaluating ... ...
St = 0.305932226564629
STEP 3: Convert Result to Output's Unit
0.305932226564629 --> No Conversion Required
FINAL ANSWER
0.305932226564629 0.305932 <-- Stanton Number
(Calculation completed in 00.020 seconds)

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Viscous Flow Calculators

Aerodynamic Heating Equation for Stanton number
​ LaTeX ​ Go Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))
Adiabatic Wall Enthalpy for Flat Plate
​ LaTeX ​ Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Total Specific Enthalpy-Static Enthalpy)
Adiabatic Wall Enthalpy using Recovery Factor
​ LaTeX ​ Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Static Velocity^2)/2
Coefficient of Friction using Stanton Number for Flat Plate Case
​ LaTeX ​ Go Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3))

Aerodynamic Heating Equation for Stanton number Formula

​LaTeX ​Go
Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))
St = qw/(ρe*ue*(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 Equation for Stanton number?

Aerodynamic Heating Equation for Stanton number calculator uses Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to calculate the Stanton Number, Aerodynamic Heating Equation for Stanton number formula is defined as a measure of heat transfer between a surface and a fluid, typically air, during high-speed flow, commonly used to analyze and predict heat loads on aircraft and spacecraft during re-entry into the Earth's atmosphere. Stanton Number is denoted by St symbol.

How to calculate Aerodynamic Heating Equation for Stanton number using this online calculator? To use this online calculator for Aerodynamic Heating Equation for Stanton number, enter Local Heat Transfer Rate (qw), Static Density e), Static Velocity (ue), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw) and hit the calculate button. Here is how the Aerodynamic Heating Equation for Stanton number calculation can be explained with given input values -> 0.305932 = 12000/(98.3*8.8*(144.544-99.2)).

FAQ

What is Aerodynamic Heating Equation for Stanton number?
Aerodynamic Heating Equation for Stanton number formula is defined as a measure of heat transfer between a surface and a fluid, typically air, during high-speed flow, commonly used to analyze and predict heat loads on aircraft and spacecraft during re-entry into the Earth's atmosphere and is represented as St = qw/(ρe*ue*(haw-hw)) or Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)). The Local Heat Transfer Rate is the measure of heat energy transfer per unit area at a specific location on a surface in a fluid flow, The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various mechanical and engineering applications, The Static Velocity is the speed of a fluid at a specific point in a flow field, unaffected by the motion of the surrounding fluid, The Adiabatic Wall Enthalpy is the heat content of a fluid in contact with an adiabatic wall, reflecting energy transfer during viscous flow conditions & The Wall Enthalpy is the measure of thermal energy per unit mass at the wall surface in viscous flow, influencing heat transfer and fluid behavior.
How to calculate Aerodynamic Heating Equation for Stanton number?
Aerodynamic Heating Equation for Stanton number formula is defined as a measure of heat transfer between a surface and a fluid, typically air, during high-speed flow, commonly used to analyze and predict heat loads on aircraft and spacecraft during re-entry into the Earth's atmosphere is calculated using Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)). To calculate Aerodynamic Heating Equation for Stanton number, you need Local Heat Transfer Rate (qw), Static Density e), Static Velocity (ue), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw). With our tool, you need to enter the respective value for Local Heat Transfer Rate, Static Density, Static Velocity, 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.
How many ways are there to calculate Stanton Number?
In this formula, Stanton Number uses Local Heat Transfer Rate, Static Density, Static Velocity, Adiabatic Wall Enthalpy & Wall Enthalpy. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Stanton Number = 0.5*Coefficient of Friction*Prandtl Number^(-2/3)
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