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Mach Ratio at High Mach Number Formula

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Mach Ratio is the ratio of Mach numbers before and after the shock. Check FAQs

Ma = 1 - K \cdot (\frac{Y - 1}{2})

Ma - Mach Ratio?K - Hypersonic Similarity Parameter?Y - Specific Heat Ratio?

Mach Ratio at High Mach Number Example

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Here is how the Mach Ratio at High Mach Number equation looks like with Values.

Here is how the Mach Ratio at High Mach Number equation looks like with Units.

Here is how the Mach Ratio at High Mach Number equation looks like.

0.4 = 1 - 2 \cdot (\frac{1.6 - 1}{2})

0.4 = 1 - 2rad \cdot (\frac{1.6 - 1}{2})

0.4 = 1 - 2 \cdot (\frac{1.6 - 1}{2})

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Mach Ratio at High Mach Number Solution

Follow our step by step solution on how to calculate Mach Ratio at High Mach Number?

FIRST Step Consider the formula

Ma = 1 - K \cdot (\frac{Y - 1}{2})

Next Step Substitute values of Variables

∴

Ma = 1 - 2rad \cdot (\frac{1.6 - 1}{2})

Next Step Prepare to Evaluate

∴

Ma = 1 - 2 \cdot (\frac{1.6 - 1}{2})

LAST Step Evaluate

∴

Ma = 0.4

Mach Ratio at High Mach Number Formula Elements

Variables

Mach Ratio

Mach Ratio is the ratio of Mach numbers before and after the shock.

Symbol: Ma

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Ratio

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

Specific Heat Ratio

The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

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 Mach Ratio at High Mach Number?

Mach Ratio at High Mach Number evaluator uses Mach Ratio = 1-Hypersonic Similarity Parameter*((Specific Heat Ratio-1)/2) to evaluate the Mach Ratio, Mach Ratio at High Mach Number formula is defined as a dimensionless quantity used to describe the speed of an object moving at hypersonic velocities, typically above Mach 5, where the flow characteristics change significantly, and it plays a crucial role in the study of hypersonic flow parameters. Mach Ratio is denoted by Ma symbol.

How to evaluate Mach Ratio at High Mach Number using this online evaluator? To use this online evaluator for Mach Ratio at High Mach Number, enter Hypersonic Similarity Parameter (K) & Specific Heat Ratio (Y) and hit the calculate button.

FAQs on Mach Ratio at High Mach Number

What is the formula to find Mach Ratio at High Mach Number?

The formula of Mach Ratio at High Mach Number is expressed as Mach Ratio = 1-Hypersonic Similarity Parameter*((Specific Heat Ratio-1)/2). Here is an example- 0.4 = 1-2*((1.6-1)/2).

How to calculate Mach Ratio at High Mach Number?

With Hypersonic Similarity Parameter (K) & Specific Heat Ratio (Y) we can find Mach Ratio at High Mach Number using the formula - Mach Ratio = 1-Hypersonic Similarity Parameter*((Specific Heat Ratio-1)/2).

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