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Doty and Rasmussen- Normal Force Coefficient Formula

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Coefficient of Force is the force acting on the reference area with dynamic pressure in the case of hypersonic flow. Check FAQs

μ = 2 \cdot \frac{Fn}{ρ fluid \cdot {U ∞}^{2} \cdot A}

μ - Coefficient of Force?Fn - Normal Force?ρ_fluid - Density of Fluid?U_∞ - Freestream Velocity Normal?A - Area?

Doty and Rasmussen- Normal Force Coefficient Example

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Here is how the Doty and Rasmussen- Normal Force Coefficient equation looks like with Values.

Here is how the Doty and Rasmussen- Normal Force Coefficient equation looks like with Units.

Here is how the Doty and Rasmussen- Normal Force Coefficient equation looks like.

0.4171 = 2 \cdot \frac{57.3}{13.9 \cdot 102^{2} \cdot 0.0019}

0.4171 = 2 \cdot \frac{57.3N}{13.9kg/m³ \cdot {102m/s}^{2} \cdot 0.0019m²}

0.4171 = 2 \cdot \frac{57.3}{13.9 \cdot 102^{2} \cdot 0.0019}

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Doty and Rasmussen- Normal Force Coefficient Solution

Follow our step by step solution on how to calculate Doty and Rasmussen- Normal Force Coefficient?

FIRST Step Consider the formula

μ = 2 \cdot \frac{Fn}{ρ fluid \cdot {U ∞}^{2} \cdot A}

Next Step Substitute values of Variables

∴

μ = 2 \cdot \frac{57.3N}{13.9kg/m³ \cdot {102m/s}^{2} \cdot 0.0019m²}

Next Step Prepare to Evaluate

∴

μ = 2 \cdot \frac{57.3}{13.9 \cdot 102^{2} \cdot 0.0019}

Next Step Evaluate

∴

μ = 0.417076646459194

LAST Step Rounding Answer

∴

μ = 0.4171

Doty and Rasmussen- Normal Force Coefficient Formula Elements

Variables

Coefficient of Force

Coefficient of Force is the force acting on the reference area with dynamic pressure in the case of hypersonic flow.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Force

Normal Force

Normal Force is the force which is normal to the shear force.

Symbol: Fn

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal Force

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Freestream Velocity Normal

Freestream Velocity Normal is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

Symbol: U_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity Normal

Area

The Area is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Other formulas in Hypersonic Flow and Disturbances category

Go Change in Velocity for Hypersonic Flow in X Direction

u' = v fluid - U ∞

Go Similarity Constant Equation with Slenderness Ratio

K = M \cdot λ

Go Density Ratio with Similarity Constant having Slenderness Ratio

ρ ratio = (\frac{γ + 1}{γ - 1}) \cdot (\frac{1}{1 + \frac{2}{(γ - 1) \cdot K^{2}}})

Go Coefficient of Pressure with Slenderness Ratio

C p = \frac{2}{γ} \cdot M^{2} \cdot (p - \cdot γ \cdot M^{2} \cdot λ^{2} - 1)

How to Evaluate Doty and Rasmussen- Normal Force Coefficient?

Doty and Rasmussen- Normal Force Coefficient evaluator uses Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area) to evaluate the Coefficient of Force, Doty and Rasmussen- Normal Force Coefficient is defined as the ratio of double the normal force acting on the body to the product of density, the square of the velocity of freestream, and reference area. Coefficient of Force is denoted by μ symbol.

How to evaluate Doty and Rasmussen- Normal Force Coefficient using this online evaluator? To use this online evaluator for Doty and Rasmussen- Normal Force Coefficient, enter Normal Force (Fn), Density of Fluid (ρ_fluid), Freestream Velocity Normal (U_∞) & Area (A) and hit the calculate button.

FAQs on Doty and Rasmussen- Normal Force Coefficient

What is the formula to find Doty and Rasmussen- Normal Force Coefficient?

The formula of Doty and Rasmussen- Normal Force Coefficient is expressed as Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area). Here is an example- 1.5E-5 = 2*57.3/(13.9*102^2*0.0019).

How to calculate Doty and Rasmussen- Normal Force Coefficient?

With Normal Force (Fn), Density of Fluid (ρ_fluid), Freestream Velocity Normal (U_∞) & Area (A) we can find Doty and Rasmussen- Normal Force Coefficient using the formula - Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area).

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Doty and Rasmussen- Normal Force Coefficient Formula

Doty and Rasmussen- Normal Force Coefficient Example

Doty and Rasmussen- Normal Force Coefficient Solution

Doty and Rasmussen- Normal Force Coefficient Formula Elements

Other formulas in Hypersonic Flow and Disturbances category

How to Evaluate Doty and Rasmussen- Normal Force Coefficient?

FAQs on Doty and Rasmussen- Normal Force Coefficient

Variable Name