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Aerodynamic Heating Equation for Stanton number Formula

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GoStanton Number with Coefficient of Friction Formula

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The Stanton Number is a dimensionless quantity that measures the heat transfer efficiency in fluid flow over a surface, particularly in hypersonic flow scenarios. Check FAQs

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

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

Aerodynamic Heating Equation for Stanton number Example

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Here is how the Aerodynamic Heating Equation for Stanton number equation looks like with Values.

Here is how the Aerodynamic Heating Equation for Stanton number equation looks like with Units.

Here is how the Aerodynamic Heating Equation for Stanton number equation looks like.

0.3059 = \frac{12000}{98.3 \cdot 8.8 \cdot (144.544 - 99.2)}

0.3059 = \frac{12000W/m²}{98.3kg/m³ \cdot 8.8m/s \cdot (144.544J/kg - 99.2J/kg)}

0.3059 = \frac{12000}{98.3 \cdot 8.8 \cdot (144.544 - 99.2)}

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Fluid Mechanics » fx Aerodynamic Heating Equation for Stanton number

Aerodynamic Heating Equation for Stanton number Solution

Follow our step by step solution on how to calculate Aerodynamic Heating Equation for Stanton number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

St = \frac{12000W/m²}{98.3kg/m³ \cdot 8.8m/s \cdot (144.544J/kg - 99.2J/kg)}

Next Step Prepare to Evaluate

∴

St = \frac{12000}{98.3 \cdot 8.8 \cdot (144.544 - 99.2)}

Next Step Evaluate

∴

St = 0.305932226564629

LAST Step Rounding Answer

∴

St = 0.3059

Aerodynamic Heating Equation for Stanton number Formula Elements

Variables

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.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

Open Variable

Local Heat Transfer Rate

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.

Symbol: q_w

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Local Heat Transfer Rate

Open Variable

Static Density

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.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Open Variable

Static Velocity

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.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Open Variable

Adiabatic Wall Enthalpy

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

Symbol: h_aw

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Adiabatic Wall Enthalpy

Open Variable

Wall Enthalpy

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.

Symbol: h_w

Measurement: Specific EnergyUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Wall Enthalpy

Open Variable

Other Formulas to find Stanton Number

Go Stanton Number with Coefficient of Friction

St = 0.5 \cdot μ friction \cdot {Pr}^{- \frac{2}{3}}

Other formulas in Viscous Flow category

Go Adiabatic Wall Enthalpy for Flat Plate

h aw = he + r \cdot (h 0 - he)

Go Adiabatic Wall Enthalpy using Recovery Factor

h aw = he + r \cdot \frac{{u e}^{2}}{2}

Go Coefficient of Friction using Stanton Number for Flat Plate Case

μ friction = \frac{2 \cdot St}{{Pr}^{- \frac{2}{3}}}

Go Drag per Unit Span

F D = \frac{0.86 \cdot q \cdot x L}{\sqrt{Re}}

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How to Evaluate Aerodynamic Heating Equation for Stanton number?

Aerodynamic Heating Equation for Stanton number evaluator uses Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to evaluate 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 evaluate Aerodynamic Heating Equation for Stanton number using this online evaluator? To use this online evaluator for Aerodynamic Heating Equation for Stanton number, enter Local Heat Transfer Rate (q_w), Static Density (ρ_e), Static Velocity (u_e), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button.

FAQs on Aerodynamic Heating Equation for Stanton number

What is the formula to find Aerodynamic Heating Equation for Stanton number?

The formula of Aerodynamic Heating Equation for Stanton number is expressed as Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Here is an example- 0.305932 = 12000/(98.3*8.8*(144.544-99.2)).

How to calculate Aerodynamic Heating Equation for Stanton number?

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

What are the other ways to Calculate Stanton Number?

Here are the different ways to Calculate Stanton Number-

Stanton Number=0.5*Coefficient of Friction*Prandtl Number^(-2/3)

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