Local Shock Velocity Equation Formula

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Local shock velocity is defined as the shock velocity after the shock wave. Check FAQs
W=cspeed(M-M1)
W - Local Shock Velocity?cspeed - Speed of Sound?M - Mach Number?M1 - Mach Number ahead of Shock?

Local Shock Velocity Equation Example

With values
With units
Only example

Here is how the Local Shock Velocity Equation equation looks like with Values.

Here is how the Local Shock Velocity Equation equation looks like with Units.

Here is how the Local Shock Velocity Equation equation looks like.

2229.5Edit=343Edit(8Edit-1.5Edit)
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Local Shock Velocity Equation Solution

Follow our step by step solution on how to calculate Local Shock Velocity Equation?

FIRST Step Consider the formula
W=cspeed(M-M1)
Next Step Substitute values of Variables
W=343m/s(8-1.5)
Next Step Prepare to Evaluate
W=343(8-1.5)
LAST Step Evaluate
W=2229.5m/s

Local Shock Velocity Equation Formula Elements

Variables
Local Shock Velocity
Local shock velocity is defined as the shock velocity after the shock wave.
Symbol: W
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Speed of Sound
The speed of sound is defined as the dynamic propagation of sound waves.
Symbol: cspeed
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Mach Number
Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Symbol: M
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Mach Number ahead of Shock
Mach Number ahead of Shock is the Mach number over the body before a shockwave has occurred.
Symbol: M1
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other formulas in Shock Dynamics and Aerodynamic Shape category

​Go Grid Point Calculation for Shock Waves
ζ=y-b𝛿
​Go Mach Wave behind Shock
M2=V-Wmcspeed
​Go Mach Wave behind Shock with Mach Infinity
M1=M-Wcspeed
​Go Pressure Ratio for Unsteady Waves
rp=(1+(γ-12)(u'cspeed))2γγ-1

How to Evaluate Local Shock Velocity Equation?

Local Shock Velocity Equation evaluator uses Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of Shock) to evaluate the Local Shock Velocity, The Local Shock Velocity Equation formula is defined as a mathematical representation of the relationship between the speed of a shock wave and the properties of the fluid it is passing through, specifically in the context of hypersonic inviscid flow. Local Shock Velocity is denoted by W symbol.

How to evaluate Local Shock Velocity Equation using this online evaluator? To use this online evaluator for Local Shock Velocity Equation, enter Speed of Sound (cspeed), Mach Number (M) & Mach Number ahead of Shock (M1) and hit the calculate button.

FAQs on Local Shock Velocity Equation

What is the formula to find Local Shock Velocity Equation?
The formula of Local Shock Velocity Equation is expressed as Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of Shock). Here is an example- 2229.5 = 343*(8-1.5).
How to calculate Local Shock Velocity Equation?
With Speed of Sound (cspeed), Mach Number (M) & Mach Number ahead of Shock (M1) we can find Local Shock Velocity Equation using the formula - Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of Shock).
Can the Local Shock Velocity Equation be negative?
No, the Local Shock Velocity Equation, measured in Speed cannot be negative.
Which unit is used to measure Local Shock Velocity Equation?
Local Shock Velocity Equation is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Local Shock Velocity Equation can be measured.
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