Local Shock Velocity Equation Calculator

✖The speed of sound is defined as the dynamic propagation of sound waves.ⓘ Speed of Sound [c_speed]			+10% -10%
✖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%
✖Mach Number ahead of shock is the Mach number over the body before a shockwave has occurred.ⓘ Mach Number ahead of shock [M₁]			+10% -10%

✖Local shock velocity, is the shock velocity after the shock wave.ⓘ Local Shock Velocity Equation [W]

⎘ Copy

👎

Formula

✖

Local Shock Velocity Equation

Formula

`"W" = "c"_{"speed"}*("M"-"M"_{"1"})`

Example

`"2229.5m/s"="343m/s"*("8"-"1.5")`

Calculator

LaTeX

Reset

👍

Download Hypersonic Flow Formula PDF PDF Image

Local Shock Velocity Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Mach Number ahead of shock - Mach Number ahead of shock is the Mach number over the body before a shockwave has occurred.

STEP 1: Convert Input(s) to Base Unit

Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required
Mach Number: 8 --> No Conversion Required
Mach Number ahead of shock: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = c_speed*(M-M₁) --> 343*(8-1.5)

Evaluating ... ...

W = 2229.5

STEP 3: Convert Result to Output's Unit

2229.5 Meter per Second --> No Conversion Required

FINAL ANSWER

2229.5 Meter per Second <-- Local Shock Velocity

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Inviscid Flow » Shock Dynamics and Aerodynamic Shape » Local Shock Velocity Equation

Credits

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))

Local Shock Velocity Equation Formula

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

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 Local Shock Velocity Equation?

Local Shock Velocity Equation calculator uses Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of shock) to calculate the Local Shock Velocity, The Local shock velocity equation formula is defined as the product of sound at mach infinity and the subtraction of mach number at infinity and mach number after shock formation. Local Shock Velocity is denoted by W symbol.

How to calculate Local Shock Velocity Equation using this online calculator? To use this online calculator for Local Shock Velocity Equation, enter Speed of Sound (c_speed), Mach Number (M) & Mach Number ahead of shock (M₁) and hit the calculate button. Here is how the Local Shock Velocity Equation calculation can be explained with given input values -> 2229.5 = 343*(8-1.5).

FAQ

What is Local Shock Velocity Equation?

The Local shock velocity equation formula is defined as the product of sound at mach infinity and the subtraction of mach number at infinity and mach number after shock formation and is represented as W = c_speed*(M-M₁) or Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of shock). The speed of sound is defined as the dynamic propagation of sound waves, Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound & Mach Number ahead of shock is the Mach number over the body before a shockwave has occurred.

How to calculate Local Shock Velocity Equation?

The Local shock velocity equation formula is defined as the product of sound at mach infinity and the subtraction of mach number at infinity and mach number after shock formation is calculated using Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of shock). To calculate Local Shock Velocity Equation, you need Speed of Sound (c_speed), Mach Number (M) & Mach Number ahead of shock (M₁). With our tool, you need to enter the respective value for Speed of Sound, Mach Number & Mach Number ahead of shock and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search