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Hypersonic Similarity Parameter 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 θ

K - Hypersonic Similarity Parameter?M - Mach Number?θ - Flow Deflection angle?

Hypersonic Similarity Parameter Example

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Here is how the Hypersonic Similarity Parameter equation looks like with Values.

Here is how the Hypersonic Similarity Parameter equation looks like with Units.

Here is how the Hypersonic Similarity Parameter equation looks like.

2.0034 = 3.78 \cdot 0.53

2.0034rad = 3.78 \cdot 0.53rad

2.0034 = 3.78 \cdot 0.53

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Hypersonic Similarity Parameter Solution

Follow our step by step solution on how to calculate Hypersonic Similarity Parameter?

FIRST Step Consider the formula

K = M \cdot θ

Next Step Substitute values of Variables

∴

K = 3.78 \cdot 0.53rad

Next Step Prepare to Evaluate

∴

K = 3.78 \cdot 0.53

LAST Step Evaluate

∴

K = 2.0034rad

Hypersonic Similarity Parameter 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 can be positive or negative.

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

Flow Deflection angle

Flow Deflection angle is defined as the angle by which the flow turns towards the oblique shock.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Flow Deflection angle

Other formulas in Hypersonic Flow Parameters category

Go Axial Force Coefficient

μ = \frac{F}{q \cdot A}

Go Coefficient of Drag

C D = \frac{F D}{q \cdot A}

Go Coefficient of Pressure with Similarity Parameters

C p = 2 \cdot θ^{2} \cdot (\frac{Y + 1}{4} + \sqrt{{(\frac{Y + 1}{4})}^{2} + \frac{1}{K^{2}}})

Go Deflection Angle

θ d = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

How to Evaluate Hypersonic Similarity Parameter?

Hypersonic Similarity Parameter evaluator uses Hypersonic Similarity Parameter = Mach Number*Flow Deflection angle to evaluate the Hypersonic Similarity Parameter, Hypersonic Similarity Parameter formula is defined as a dimensionless quantity used to characterize the hypersonic flow regime, providing a measure of the similarity between different flow fields, and is essential in the study of high-speed aerodynamics and aerospace engineering. Hypersonic Similarity Parameter is denoted by K symbol.

How to evaluate Hypersonic Similarity Parameter using this online evaluator? To use this online evaluator for Hypersonic Similarity Parameter, enter Mach Number (M) & Flow Deflection angle (θ) and hit the calculate button.

FAQs on Hypersonic Similarity Parameter

What is the formula to find Hypersonic Similarity Parameter?

The formula of Hypersonic Similarity Parameter is expressed as Hypersonic Similarity Parameter = Mach Number*Flow Deflection angle. Here is an example- 4.24 = 3.78*0.53.

How to calculate Hypersonic Similarity Parameter?

With Mach Number (M) & Flow Deflection angle (θ) we can find Hypersonic Similarity Parameter using the formula - Hypersonic Similarity Parameter = Mach Number*Flow Deflection angle.

Can the Hypersonic Similarity Parameter be negative?

Yes, the Hypersonic Similarity Parameter, measured in Angle can be negative.

Which unit is used to measure Hypersonic Similarity Parameter?

Hypersonic Similarity Parameter is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Hypersonic Similarity Parameter can be measured.

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