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/cspeed
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/cspeed --> 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)

Credits

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Verified by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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​ 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

Mach Wave behind Shock with Mach Infinity Formula

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

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, Mach Wave behind Shock with Mach Infinity formula is defined as a measure of the shock wave that forms behind an object moving at hypersonic speeds, typically in excess of Mach 5, in an inviscid flow, where the shock wave's properties are affected by the object's speed and the surrounding fluid's properties. 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 (cspeed) 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?
Mach Wave behind Shock with Mach Infinity formula is defined as a measure of the shock wave that forms behind an object moving at hypersonic speeds, typically in excess of Mach 5, in an inviscid flow, where the shock wave's properties are affected by the object's speed and the surrounding fluid's properties and is represented as M1 = M-W/cspeed 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?
Mach Wave behind Shock with Mach Infinity formula is defined as a measure of the shock wave that forms behind an object moving at hypersonic speeds, typically in excess of Mach 5, in an inviscid flow, where the shock wave's properties are affected by the object's speed and the surrounding fluid's properties 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 (cspeed). 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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