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Static Density Equation using Aerodynamic Equation Formula

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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. Check FAQs

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

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

Static Density Equation using Aerodynamic Equation Example

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

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

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

98.3001 = \frac{12000}{8.8 \cdot 0.3059 \cdot (144.544 - 99.2)}

98.3001kg/m³ = \frac{12000W/m²}{8.8m/s \cdot 0.3059 \cdot (144.544J/kg - 99.2J/kg)}

98.3001 = \frac{12000}{8.8 \cdot 0.3059 \cdot (144.544 - 99.2)}

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Static Density Equation using Aerodynamic Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

ρ e = 98.3000727982133kg/m³

LAST Step Rounding Answer

∴

ρ e = 98.3001kg/m³

Static Density Equation using Aerodynamic Equation Formula Elements

Variables

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

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 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

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 Density Equation using Aerodynamic Equation?

Static Density Equation using Aerodynamic Equation evaluator uses Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to evaluate the Static Density, Static Density Equation using Aerodynamic Equation formula is defined as a measure of the effective air density in a flat plate for viscous flow case, which is a critical parameter in aerodynamics and fluid mechanics, used to analyze the behavior of air and its interaction with solid objects. Static Density is denoted by ρ_e symbol.

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

FAQs on Static Density Equation using Aerodynamic Equation

What is the formula to find Static Density Equation using Aerodynamic Equation?

The formula of Static Density Equation using Aerodynamic Equation is expressed as Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Here is an example- 808.1787 = 12000/(8.8*0.305932*(144.544-99.2)).

How to calculate Static Density Equation using Aerodynamic Equation?

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

Can the Static Density Equation using Aerodynamic Equation be negative?

No, the Static Density Equation using Aerodynamic Equation, measured in Density cannot be negative.

Which unit is used to measure Static Density Equation using Aerodynamic Equation?

Static Density Equation using Aerodynamic Equation is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Static Density Equation using Aerodynamic Equation can be measured.

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Static Density Equation using Aerodynamic Equation Formula

Static Density Equation using Aerodynamic Equation Example

Static Density Equation using Aerodynamic Equation Solution

Static Density Equation using Aerodynamic Equation Formula Elements

Other formulas in Viscous Flow category

How to Evaluate Static Density Equation using Aerodynamic Equation?

FAQs on Static Density Equation using Aerodynamic Equation

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