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Characteristic Mach Number behind Shock Formula

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Characteristic Mach number behind shock is the speed of an object to speed of sound at the sonic condition after passing through the shockwave. Check FAQs

M2 cr = \frac{1}{M1 cr}

M2_cr - Characteristic Mach Number Behind Shock?M1_cr - Characteristic Mach Number Ahead of Shock?

Characteristic Mach Number behind Shock Example

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

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

Here is how the Characteristic Mach Number behind Shock equation looks like.

0.3333 = \frac{1}{3}

0.3333 = \frac{1}{3}

0.3333 = \frac{1}{3}

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Characteristic Mach Number behind Shock Solution

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

FIRST Step Consider the formula

M2 cr = \frac{1}{M1 cr}

Next Step Substitute values of Variables

∴

M2 cr = \frac{1}{3}

Next Step Prepare to Evaluate

∴

M2 cr = \frac{1}{3}

Next Step Evaluate

∴

M2 cr = 0.333333333333333

LAST Step Rounding Answer

∴

M2 cr = 0.3333

Characteristic Mach Number behind Shock Formula Elements

Variables

Characteristic Mach Number Behind Shock

Characteristic Mach number behind shock is the speed of an object to speed of sound at the sonic condition after passing through the shockwave.

Symbol: M2_cr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Characteristic Mach Number Behind Shock

Characteristic Mach Number Ahead of Shock

Characteristic Mach Number Ahead of Shock is the speed of an object relative to speed of sound at the sonic condition before the shockwave has occurred.

Symbol: M1_cr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Characteristic Mach Number Ahead of Shock

Other formulas in Downstream Shock Waves category

Go Mach Number behind Shock

M 2 = {(\frac{2 + γ \cdot {M 1}^{2} - {M 1}^{2}}{2 \cdot γ \cdot {M 1}^{2} - γ + 1})}^{\frac{1}{2}}

Go Velocity behind Normal Shock

V 2 = \frac{V 1}{\frac{γ + 1}{(γ - 1) + \frac{2}{M^{2}}}}

Go Static Pressure behind Normal Shock using Normal Shock Momentum Equation

P 2 = P 1 + ρ 1 \cdot {V 1}^{2} - ρ 2 \cdot {V 2}^{2}

Go Density behind Normal Shock using Normal Shock Momentum Equation

ρ 2 = \frac{P 1 + ρ 1 \cdot {V 1}^{2} - P 2}{{V 2}^{2}}

How to Evaluate Characteristic Mach Number behind Shock?

Characteristic Mach Number behind Shock evaluator uses Characteristic Mach Number Behind Shock = 1/Characteristic Mach Number Ahead of Shock to evaluate the Characteristic Mach Number Behind Shock, Characteristic Mach Number behind Shock is the reciprocal of Characteristic Mach Number ahead of shock. Characteristic Mach Number Behind Shock is denoted by M2_cr symbol.

How to evaluate Characteristic Mach Number behind Shock using this online evaluator? To use this online evaluator for Characteristic Mach Number behind Shock, enter Characteristic Mach Number Ahead of Shock (M1_cr) and hit the calculate button.

FAQs on Characteristic Mach Number behind Shock

What is the formula to find Characteristic Mach Number behind Shock?

The formula of Characteristic Mach Number behind Shock is expressed as Characteristic Mach Number Behind Shock = 1/Characteristic Mach Number Ahead of Shock. Here is an example- 0.5 = 1/3.

How to calculate Characteristic Mach Number behind Shock?

With Characteristic Mach Number Ahead of Shock (M1_cr) we can find Characteristic Mach Number behind Shock using the formula - Characteristic Mach Number Behind Shock = 1/Characteristic Mach Number Ahead of Shock.

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