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Similarity Constant Equation using Wave Angle Formula

GoRasmussen Closed Form Expression for Shock Wave Angle Formula

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Wave Angle Similarity Parameter is used by Rasmussen to obtained the closed-form expression for the shock-wave angle. Check FAQs

K β = M \cdot β \cdot \frac{180}{π}

K_β - Wave Angle Similarity Parameter?M - Mach Number?β - Wave Angle?π - Archimedes' constant?

Similarity Constant Equation using Wave Angle Example

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Here is how the Similarity Constant Equation using Wave Angle equation looks like with Values.

Here is how the Similarity Constant Equation using Wave Angle equation looks like with Units.

Here is how the Similarity Constant Equation using Wave Angle equation looks like.

88.4876 = 5.4 \cdot 0.286 \cdot \frac{180}{3.1416}

88.4876 = 5.4 \cdot 0.286rad \cdot \frac{180}{3.1416}

88.4876 = 5.4 \cdot 0.286 \cdot \frac{180}{3.1416}

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Similarity Constant Equation using Wave Angle Solution

Follow our step by step solution on how to calculate Similarity Constant Equation using Wave Angle?

FIRST Step Consider the formula

K β = M \cdot β \cdot \frac{180}{π}

Next Step Substitute values of Variables

∴

K β = 5.4 \cdot 0.286rad \cdot \frac{180}{π}

Next Step Substitute values of Constants

∴

K β = 5.4 \cdot 0.286rad \cdot \frac{180}{3.1416}

Next Step Prepare to Evaluate

∴

K β = 5.4 \cdot 0.286 \cdot \frac{180}{3.1416}

Next Step Evaluate

∴

K β = 88.4876018800043

LAST Step Rounding Answer

∴

K β = 88.4876

Similarity Constant Equation using Wave Angle Formula Elements

Variables

Constants

Wave Angle Similarity Parameter

Wave Angle Similarity Parameter is used by Rasmussen to obtained the closed-form expression for the shock-wave angle.

Symbol: K_β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Angle Similarity Parameter

Mach Number

Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Wave Angle

Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.

Symbol: β

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Wave Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Wave Angle Similarity Parameter

Go Rasmussen Closed Form Expression for Shock Wave Angle

K β = K \cdot \sqrt{\frac{γ + 1}{2} + \frac{1}{K^{2}}}

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 Similarity Constant Equation using Wave Angle?

Similarity Constant Equation using Wave Angle evaluator uses Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi to evaluate the Wave Angle Similarity Parameter, Similarity constant equation using wave angle formula is defined as the product of mach number at infinite and wave angle of the shock. Wave Angle Similarity Parameter is denoted by K_β symbol.

How to evaluate Similarity Constant Equation using Wave Angle using this online evaluator? To use this online evaluator for Similarity Constant Equation using Wave Angle, enter Mach Number (M) & Wave Angle (β) and hit the calculate button.

FAQs on Similarity Constant Equation using Wave Angle

What is the formula to find Similarity Constant Equation using Wave Angle?

The formula of Similarity Constant Equation using Wave Angle is expressed as Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi. Here is an example- 88.56 = 5.4*0.286*180/pi.

How to calculate Similarity Constant Equation using Wave Angle?

With Mach Number (M) & Wave Angle (β) we can find Similarity Constant Equation using Wave Angle using the formula - Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi. This formula also uses Archimedes' constant .

What are the other ways to Calculate Wave Angle Similarity Parameter?

Here are the different ways to Calculate Wave Angle Similarity Parameter-

Wave Angle Similarity Parameter=Hypersonic Similarity Parameter*sqrt((Specific Heat Ratio+1)/2+1/Hypersonic Similarity Parameter^2)

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Similarity Constant Equation using Wave Angle Formula

​GoRasmussen Closed Form Expression for Shock Wave Angle Formula

Similarity Constant Equation using Wave Angle Example

Similarity Constant Equation using Wave Angle Solution

Similarity Constant Equation using Wave Angle Formula Elements

Other Formulas to find Wave Angle Similarity Parameter

Other formulas in Hypersonic Flow and Disturbances category

How to Evaluate Similarity Constant Equation using Wave Angle?

FAQs on Similarity Constant Equation using Wave Angle

Variable Name

GoRasmussen Closed Form Expression for Shock Wave Angle Formula