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Similarity Constant Equation with Slenderness Ratio Formula

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Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations. Check FAQs

K = M \cdot λ

K - Hypersonic Similarity Parameter?M - Mach Number?λ - Slenderness Ratio?

Similarity Constant Equation with Slenderness Ratio Example

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Here is how the Similarity Constant Equation with Slenderness Ratio equation looks like with Values.

Here is how the Similarity Constant Equation with Slenderness Ratio equation looks like with Units.

Here is how the Similarity Constant Equation with Slenderness Ratio equation looks like.

1.08 = 5.4 \cdot 0.2

1.08rad = 5.4 \cdot 0.2

1.08 = 5.4 \cdot 0.2

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Similarity Constant Equation with Slenderness Ratio Solution

Follow our step by step solution on how to calculate Similarity Constant Equation with Slenderness Ratio?

FIRST Step Consider the formula

K = M \cdot λ

Next Step Substitute values of Variables

∴

K = 5.4 \cdot 0.2

Next Step Prepare to Evaluate

∴

K = 5.4 \cdot 0.2

LAST Step Evaluate

∴

K = 1.08rad

Similarity Constant Equation with Slenderness Ratio Formula Elements

Variables

Hypersonic Similarity Parameter

Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.

Symbol: K

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Hypersonic 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

Slenderness Ratio

The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slenderness Ratio

Other formulas in Hypersonic Flow and Disturbances category

Go Change in Velocity for Hypersonic Flow in X Direction

u' = v fluid - U ∞

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)

Go Coefficient of Pressure with Slenderness Ratio and Similarity Constant

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

How to Evaluate Similarity Constant Equation with Slenderness Ratio?

Similarity Constant Equation with Slenderness Ratio evaluator uses Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio to evaluate the Hypersonic Similarity Parameter, The Similarity constant equation with slenderness ratio formula is defined as the product of mach number at infinity and the slenderness ratio of the body. Hypersonic Similarity Parameter is denoted by K symbol.

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

FAQs on Similarity Constant Equation with Slenderness Ratio

What is the formula to find Similarity Constant Equation with Slenderness Ratio?

The formula of Similarity Constant Equation with Slenderness Ratio is expressed as Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio. Here is an example- 3545.431 = 5.4*0.2.

How to calculate Similarity Constant Equation with Slenderness Ratio?

With Mach Number (M) & Slenderness Ratio (λ) we can find Similarity Constant Equation with Slenderness Ratio using the formula - Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio.

Can the Similarity Constant Equation with Slenderness Ratio be negative?

No, the Similarity Constant Equation with Slenderness Ratio, measured in Angle cannot be negative.

Which unit is used to measure Similarity Constant Equation with Slenderness Ratio?

Similarity Constant Equation with Slenderness Ratio is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Similarity Constant Equation with Slenderness Ratio can be measured.

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