Mach Wave behind Shock with Mach Infinity Calculator

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%
✖Local shock velocity, is the shock velocity after the shock wave.ⓘ Local Shock Velocity [W]			+10% -10%
✖The speed of sound is defined as the dynamic propagation of sound waves.ⓘ Speed of Sound [c_speed]			+10% -10%

✖Mach Number ahead of shock is the Mach number over the body before a shockwave has occurred.ⓘ Mach Wave behind Shock with Mach Infinity [M₁]

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Formula

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Mach Wave behind Shock with Mach Infinity

Formula

`"M"_{"1"} = "M"-"W"/"c"_{"speed"}`

Example

`"5.137026"="8"-"982m/s"/"343m/s"`

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Mach Wave behind Shock with Mach Infinity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound
M₁ = M-W/c_speed
This formula uses 4 Variables

Variables Used

Mach Number ahead of shock - Mach Number ahead of shock is the Mach number over the body before a shockwave has occurred.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Local Shock Velocity - (Measured in Meter per Second) - Local shock velocity, is the shock velocity after the shock wave.
Speed of Sound - (Measured in Meter per Second) - The speed of sound is defined as the dynamic propagation of sound waves.

STEP 1: Convert Input(s) to Base Unit

Mach Number: 8 --> No Conversion Required
Local Shock Velocity: 982 Meter per Second --> 982 Meter per Second No Conversion Required
Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M₁ = M-W/c_speed --> 8-982/343

Evaluating ... ...

M₁ = 5.13702623906706

STEP 3: Convert Result to Output's Unit

5.13702623906706 --> No Conversion Required

FINAL ANSWER

5.13702623906706 ≈ 5.137026 <-- Mach Number ahead of shock

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< 10+ Shock Dynamics and Aerodynamic Shape Calculators

Pressure Ratio for Unsteady Waves

Go Pressure Ratio = (1+((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

Ratio of New and Old Temperature

Go Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)

Grid Point Calculation for Shock Waves

Go Grid Points = (Distance from X-Axis-Body shape in hypersonic flow)/Local Shock-detachment Distance

Mach Wave behind Shock

Go Mach Number behind shock = (Freestream Velocity-Local Shock Velocity for Mach Wave)/Speed of Sound

Local Shock Velocity Equation

Go Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of shock)

Mach Wave behind Shock with Mach Infinity

Go Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound

Nose Radius of Cylinder-Wedge

Go Radius = Local Shock-detachment Distance/(0.386*exp(4.67/(Mach Number^2)))

Nose Radius of Sphere Cone

Go Radius = Local Shock-detachment Distance/(0.143*exp(3.24/(Mach Number^2)))

Detachment Distance of Cylinder Wedge Body Shape

Go Local Shock-detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2))

Detachment Distance of Sphere Cone Body Shape

Go Local Shock-detachment Distance = Radius*0.143*exp(3.24/(Mach Number^2))

Mach Wave behind Shock with Mach Infinity Formula

Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound
M₁ = M-W/c_speed

what is a shock wave

Shock wave, strong pressure wave in any elastic medium such as air, water, or a solid substance, produced by supersonic aircraft, explosions, lightning, or other phenomena that create violent changes in pressure

How to Calculate Mach Wave behind Shock with Mach Infinity?

Mach Wave behind Shock with Mach Infinity calculator uses Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound to calculate the Mach Number ahead of shock, The Mach wave behind shock with mach infinity formula is defined as the interrelation between mach no at infinity, local shock velocity, and speed of sound at mach infinity. Mach Number ahead of shock is denoted by M₁ symbol.

How to calculate Mach Wave behind Shock with Mach Infinity using this online calculator? To use this online calculator for Mach Wave behind Shock with Mach Infinity, enter Mach Number (M), Local Shock Velocity (W) & Speed of Sound (c_speed) and hit the calculate button. Here is how the Mach Wave behind Shock with Mach Infinity calculation can be explained with given input values -> 5.137026 = 8-982/343.

FAQ

What is Mach Wave behind Shock with Mach Infinity?

The Mach wave behind shock with mach infinity formula is defined as the interrelation between mach no at infinity, local shock velocity, and speed of sound at mach infinity and is represented as M₁ = M-W/c_speed or Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound. Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound, Local shock velocity, is the shock velocity after the shock wave & The speed of sound is defined as the dynamic propagation of sound waves.

How to calculate Mach Wave behind Shock with Mach Infinity?

The Mach wave behind shock with mach infinity formula is defined as the interrelation between mach no at infinity, local shock velocity, and speed of sound at mach infinity is calculated using Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound. To calculate Mach Wave behind Shock with Mach Infinity, you need Mach Number (M), Local Shock Velocity (W) & Speed of Sound (c_speed). With our tool, you need to enter the respective value for Mach Number, Local Shock Velocity & Speed of Sound 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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