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Mach Wave behind Shock Formula

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Mach Number behind shock is the Mach number over the body after a shockwave has occurred. Check FAQs

M 2 = \frac{V ∞ - W mach}{c speed}

M₂ - Mach Number behind shock?V_∞ - Freestream Velocity?W_mach - Local Shock Velocity for Mach Wave?c_speed - Speed of Sound?

Mach Wave behind Shock Example

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Here is how the Mach Wave behind Shock equation looks like with Values.

Here is how the Mach Wave behind Shock equation looks like with Units.

Here is how the Mach Wave behind Shock equation looks like.

0.0175 = \frac{98 - 92}{343}

0.0175 = \frac{98m/s - 92m/s}{343m/s}

0.0175 = \frac{98 - 92}{343}

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Mach Wave behind Shock Solution

Follow our step by step solution on how to calculate Mach Wave behind Shock?

FIRST Step Consider the formula

M 2 = \frac{V ∞ - W mach}{c speed}

Next Step Substitute values of Variables

∴

M 2 = \frac{98m/s - 92m/s}{343m/s}

Next Step Prepare to Evaluate

∴

M 2 = \frac{98 - 92}{343}

Next Step Evaluate

∴

M 2 = 0.0174927113702624

LAST Step Rounding Answer

∴

M 2 = 0.0175

Mach Wave behind Shock Formula Elements

Variables

Mach Number behind shock

Mach Number behind shock is the Mach number over the body after a shockwave has occurred.

Symbol: M₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number behind shock

Freestream Velocity

The Freestream Velocity 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: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Local Shock Velocity for Mach Wave

Local shock velocity for Mach Wave, is the shock velocity after the shock wave.

Symbol: W_mach

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Local Shock Velocity for Mach Wave

Speed of Sound

The speed of sound is defined as the dynamic propagation of sound waves.

Symbol: c_speed

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Sound

Other formulas in Shock Dynamics and Aerodynamic Shape category

Go Grid Point Calculation for Shock Waves

ζ = \frac{y - b}{𝛿}

Go Mach Wave behind Shock with Mach Infinity

M 1 = M - \frac{W}{c speed}

Go Local Shock Velocity Equation

W = c speed \cdot (M - M 1)

Go Pressure Ratio for Unsteady Waves

r p = {(1 + (\frac{γ - 1}{2}) \cdot (\frac{u'}{c speed}))}^{2 \cdot \frac{γ}{γ - 1}}

How to Evaluate Mach Wave behind Shock?

Mach Wave behind Shock evaluator uses Mach Number behind shock = (Freestream Velocity-Local Shock Velocity for Mach Wave)/Speed of Sound to evaluate the Mach Number behind shock, The Mach wave behind shock formula is defined as the ratio of freestream velocity minus the local shock velocity to the speed of sound. Mach Number behind shock is denoted by M₂ symbol.

How to evaluate Mach Wave behind Shock using this online evaluator? To use this online evaluator for Mach Wave behind Shock, enter Freestream Velocity (V_∞), Local Shock Velocity for Mach Wave (W_mach) & Speed of Sound (c_speed) and hit the calculate button.

FAQs on Mach Wave behind Shock

What is the formula to find Mach Wave behind Shock?

The formula of Mach Wave behind Shock is expressed as Mach Number behind shock = (Freestream Velocity-Local Shock Velocity for Mach Wave)/Speed of Sound. Here is an example- -2.577259 = (98-92)/343.

How to calculate Mach Wave behind Shock?

With Freestream Velocity (V_∞), Local Shock Velocity for Mach Wave (W_mach) & Speed of Sound (c_speed) we can find Mach Wave behind Shock using the formula - Mach Number behind shock = (Freestream Velocity-Local Shock Velocity for Mach Wave)/Speed of Sound.

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Mach Wave behind Shock Formula

Mach Wave behind Shock Example

Mach Wave behind Shock Solution

Mach Wave behind Shock Formula Elements

Other formulas in Shock Dynamics and Aerodynamic Shape category

How to Evaluate Mach Wave behind Shock?

FAQs on Mach Wave behind Shock

Variable Name