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Static Velocity Equation using Aerodynamic Heating Equation Formula

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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. Check FAQs

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

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

Static Velocity Equation using Aerodynamic Heating Equation Example

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Here is how the Static Velocity Equation using Aerodynamic Heating Equation equation looks like with Values.

Here is how the Static Velocity Equation using Aerodynamic Heating Equation equation looks like with Units.

Here is how the Static Velocity Equation using Aerodynamic Heating Equation equation looks like.

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

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

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

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Static Velocity Equation using Aerodynamic Heating Equation Solution

Follow our step by step solution on how to calculate Static Velocity Equation using Aerodynamic Heating Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

u e = 8.80000651703232m/s

LAST Step Rounding Answer

∴

u e = 8.8m/s

Static Velocity Equation using Aerodynamic Heating Equation Formula Elements

Variables

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

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

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

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

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

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

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 Aerodynamic Heating Equation for Stanton number

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

Go Coefficient of Friction using Stanton Number for Flat Plate Case

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

How to Evaluate Static Velocity Equation using Aerodynamic Heating Equation?

Static Velocity Equation using Aerodynamic Heating Equation evaluator uses Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to evaluate the Static Velocity, Static Velocity Equation using Aerodynamic Heating Equation formula is defined as a measure of the velocity of a fluid in a flat plate for viscous flow case, taking into account the heat transfer and frictional forces, which is crucial in understanding the aerodynamic characteristics of an object. Static Velocity is denoted by u_e symbol.

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

FAQs on Static Velocity Equation using Aerodynamic Heating Equation

What is the formula to find Static Velocity Equation using Aerodynamic Heating Equation?

The formula of Static Velocity Equation using Aerodynamic Heating Equation is expressed as Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Here is an example- 72.34967 = 12000/(98.3*0.305932*(144.544-99.2)).

How to calculate Static Velocity Equation using Aerodynamic Heating Equation?

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

Can the Static Velocity Equation using Aerodynamic Heating Equation be negative?

No, the Static Velocity Equation using Aerodynamic Heating Equation, measured in Speed cannot be negative.

Which unit is used to measure Static Velocity Equation using Aerodynamic Heating Equation?

Static Velocity Equation using Aerodynamic Heating Equation is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Static Velocity Equation using Aerodynamic Heating Equation can be measured.

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Static Velocity Equation using Aerodynamic Heating Equation Formula

Static Velocity Equation using Aerodynamic Heating Equation Example

Static Velocity Equation using Aerodynamic Heating Equation Solution

Static Velocity Equation using Aerodynamic Heating Equation Formula Elements

Other formulas in Viscous Flow category

How to Evaluate Static Velocity Equation using Aerodynamic Heating Equation?

FAQs on Static Velocity Equation using Aerodynamic Heating Equation

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