Mach Number behind Shock Calculator

✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.ⓘ Mach Number Ahead of Normal Shock [M₁]			+10% -10%

✖Mach Number Behind Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound after passing through a normal shock wave.ⓘ Mach Number behind Shock [M₂]

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Mach Number behind Shock Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number Behind Normal Shock = ((2+Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Mach Number Ahead of Normal Shock^2)/(2*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Specific Heat Ratio+1))^(1/2)
M₂ = ((2+γ*M₁^2-M₁^2)/(2*γ*M₁^2-γ+1))^(1/2)
This formula uses 3 Variables

Variables Used

Mach Number Behind Normal Shock - Mach Number Behind Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound after passing through a normal shock wave.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number Ahead of Normal Shock - Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Mach Number Ahead of Normal Shock: 1.49 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M₂ = ((2+γ*M₁^2-M₁^2)/(2*γ*M₁^2-γ+1))^(1/2) --> ((2+1.4*1.49^2-1.49^2)/(2*1.4*1.49^2-1.4+1))^(1/2)

Evaluating ... ...

M₂ = 0.704658912439046

STEP 3: Convert Result to Output's Unit

0.704658912439046 --> No Conversion Required

FINAL ANSWER

0.704658912439046 ≈ 0.704659 <-- Mach Number Behind Normal Shock

(Calculation completed in 00.006 seconds)

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Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< Downstream Shock Waves Calculators

Mach Number behind Shock

LaTeX Go Mach Number Behind Normal Shock = ((2+Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Mach Number Ahead of Normal Shock^2)/(2*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Specific Heat Ratio+1))^(1/2)

Static Pressure behind Normal Shock using Normal Shock Momentum Equation

LaTeX Go Static pressure Behind Normal shock = Static Pressure Ahead of Normal Shock+Density Ahead of Normal Shock*Velocity Upstream of Shock^2-Density Behind Normal Shock*Velocity Downstream of Shock^2

Velocity behind Normal Shock

LaTeX Go Velocity Downstream of Shock = Velocity Upstream of Shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+2/(Mach Number^2)))

Characteristic Mach Number behind Shock

LaTeX Go Characteristic Mach Number Behind Shock = 1/Characteristic Mach Number Ahead of Shock

Mach Number behind Shock Formula

LaTeX Go

What is the regime of Mach number behind a normal shock?

The Mach number behind a normal shock is always subsonic since there is a loss in speed of body after the shockwave.

How to Calculate Mach Number behind Shock?

Mach Number behind Shock calculator uses Mach Number Behind Normal Shock = ((2+Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Mach Number Ahead of Normal Shock^2)/(2*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Specific Heat Ratio+1))^(1/2) to calculate the Mach Number Behind Normal Shock, The Mach Number behind Shock calculates the Mach number of a fluid behind a normal shock wave. It utilizes parameters such as the Mach number ahead of the shock and the ratio of specific heats for the fluid. This formula provides insight into the change in Mach number as the fluid passes through the shock wave, aiding in the analysis of compressible flow behavior. Mach Number Behind Normal Shock is denoted by M₂ symbol.

How to calculate Mach Number behind Shock using this online calculator? To use this online calculator for Mach Number behind Shock, enter Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁) and hit the calculate button. Here is how the Mach Number behind Shock calculation can be explained with given input values -> 0.704659 = ((2+1.4*1.49^2-1.49^2)/(2*1.4*1.49^2-1.4+1))^(1/2).

FAQ

What is Mach Number behind Shock?

The Mach Number behind Shock calculates the Mach number of a fluid behind a normal shock wave. It utilizes parameters such as the Mach number ahead of the shock and the ratio of specific heats for the fluid. This formula provides insight into the change in Mach number as the fluid passes through the shock wave, aiding in the analysis of compressible flow behavior and is represented as M₂ = ((2+γ*M₁^2-M₁^2)/(2*γ*M₁^2-γ+1))^(1/2) or Mach Number Behind Normal Shock = ((2+Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Mach Number Ahead of Normal Shock^2)/(2*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Specific Heat Ratio+1))^(1/2). The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Mach Number Ahead of Normal Shock represents the velocity of a fluid or airflow relative to the speed of sound before encountering a normal shock wave.

How to calculate Mach Number behind Shock?

The Mach Number behind Shock calculates the Mach number of a fluid behind a normal shock wave. It utilizes parameters such as the Mach number ahead of the shock and the ratio of specific heats for the fluid. This formula provides insight into the change in Mach number as the fluid passes through the shock wave, aiding in the analysis of compressible flow behavior is calculated using Mach Number Behind Normal Shock = ((2+Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Mach Number Ahead of Normal Shock^2)/(2*Specific Heat Ratio*Mach Number Ahead of Normal Shock^2-Specific Heat Ratio+1))^(1/2). To calculate Mach Number behind Shock, you need Specific Heat Ratio (γ) & Mach Number Ahead of Normal Shock (M₁). With our tool, you need to enter the respective value for Specific Heat Ratio & Mach Number Ahead of Normal Shock and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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