Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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11 Other formulas that you can solve using the same Inputs

Exact Density Ratio
Density ratio=((Specific Heat Ratio+1)*((Mach Number*(sin(Wave angle)))^2))/((Specific Heat Ratio-1)*((Mach Number*(sin(Wave angle)))^2)+2) GO
Ratio of stagnation and static pressure
Stagnation to Static Pressure=(1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1)) GO
Entropy change across normal shock
Change in Entropy=Specific gas constant*ln(Stagnation pressure ahead of shock/Stagnation pressure behind shock) GO
Ratio of Stagnation and Static Density
Stagnation to Static Density=(1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1)) GO
Deflection angle
deflection angle=(2/(Specific Heat Ratio-1))*((1/Mach Number ahead of shock)-(1/Mach Number behind shock)) GO
Exact pressure ratio
pressure ratio=1+(2*Specific Heat Ratio/(Specific Heat Ratio+1))*(((Mach Number*sin(Wave angle))^2)-1) GO
Pressure ratio when Mach becomes infinite
pressure ratio=(2*Specific Heat Ratio/(Specific Heat Ratio+1))*((Mach Number*sin(Wave angle))^2) GO
Mach number
Mach Number=Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*final temp.)) GO
Ratio of Stagnation and Static Temperature
Stagnation to Static Temperature=1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) GO
Speed of Sound
Speed of Sound=sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas) GO
Density ratio when Mach become infinite
Density ratio=(Specific Heat Ratio+1)/(Specific Heat Ratio-1) GO

4 Other formulas that calculate the same Output

Density behind oblique shock for given upstream density & normal upstream Mach no.
Density behind shock=density ahead of shock*((Specific heat ratio+1)*(Component of upstream mach normal to oblique shock^2)/(2+((Specific heat ratio-1)*(Component of upstream mach normal to oblique shock^2)))) GO
Density before the shock formation for expansion wave
Density behind shock=Stagnation pressure ahead of shock/(1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old speed of sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time)) GO
Density behind normal shock using normal shock momentum equation
Density behind shock=(Static pressure ahead of shock+(density ahead of shock*(Velocity upstream of shock^2))-Static pressure behind shock)/(Velocity downstream of shock^2) GO
Density behind normal shock for given upstream density and Mach number
Density behind shock=density ahead of shock*((Specific heat ratio+1)*(Mach Number ahead of shock^2)/(2+((Specific heat ratio-1)*(Mach Number ahead of shock^2)))) GO

Density before shock formation for compression wave Formula

Density behind shock=Stagnation pressure ahead of shock/(1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old speed of sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time))
ρ <sub>2</sub>=p<sub>01</sub>/(1+((γ-1)/2)*(Vn/a-old))^(2*γ/(γ-t))
More formulas
Grid point calculation for shock waves GO
Mach wave behind the shock GO
Mach wave behind the shock with mach infinity GO
Local shock velocity equation GO
Pressure ratio for unsteady waves GO
Pressure ratio for unsteady waves with subtracted induced mass motion for expansion waves GO
Temperature ratio for unsteady compression waves GO
Temperature ratio for unsteady expansion wave GO
New pressure after the shock formation for compression wave GO
New pressure after the shock formation, subtracted to velocity for expansion wave GO
Density before the shock formation for expansion wave GO
Ratio of new and old temperature GO
Ratio of new and old temperature for expansion waves GO
Detachment distance of sphere cone GO
Nose radius of sphere cone GO
Detachment distance of cylinder-wedge GO
Nose radius of cylinder-wedge GO

What is specific heat ratio?

In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV).

How to Calculate Density before shock formation for compression wave?

Density before shock formation for compression wave calculator uses Density behind shock=Stagnation pressure ahead of shock/(1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old speed of sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time)) to calculate the Density behind shock, The Density before shock formation for compression wave formula is defined as the interrelation between specific heat ratio , speed of sound during the unsteady waves and normal velocity and old speed of sound and pressure after shock formation. Density behind shock and is denoted by ρ 2 symbol.

How to calculate Density before shock formation for compression wave using this online calculator? To use this online calculator for Density before shock formation for compression wave, enter Stagnation pressure ahead of shock (p01), Specific Heat Ratio (γ), Normal velocity (Vn), Old speed of sound (a-old) and Time (t) and hit the calculate button. Here is how the Density before shock formation for compression wave calculation can be explained with given input values -> 107.3374 = 100/(1+((1.6-1)/2)*(1000/343))^(2*1.6/(1.6-30)).

FAQ

What is Density before shock formation for compression wave?
The Density before shock formation for compression wave formula is defined as the interrelation between specific heat ratio , speed of sound during the unsteady waves and normal velocity and old speed of sound and pressure after shock formation and is represented as ρ 2=p01/(1+((γ-1)/2)*(Vn/a-old))^(2*γ/(γ-t)) or Density behind shock=Stagnation pressure ahead of shock/(1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old speed of sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time)). Stagnation pressure ahead of shock is the stagnation or total or pitot pressure before a shockwave has occured, The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume, Normal velocity, is the velocity normal to the shock formation , Old speed of sound, is he speed of sound before the shock and time is what a clock reads, it is a scalar quantity.
How to calculate Density before shock formation for compression wave?
The Density before shock formation for compression wave formula is defined as the interrelation between specific heat ratio , speed of sound during the unsteady waves and normal velocity and old speed of sound and pressure after shock formation is calculated using Density behind shock=Stagnation pressure ahead of shock/(1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old speed of sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time)). To calculate Density before shock formation for compression wave, you need Stagnation pressure ahead of shock (p01), Specific Heat Ratio (γ), Normal velocity (Vn), Old speed of sound (a-old) and Time (t). With our tool, you need to enter the respective value for Stagnation pressure ahead of shock, Specific Heat Ratio, Normal velocity, Old speed of sound and Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Density behind shock?
In this formula, Density behind shock uses Stagnation pressure ahead of shock, Specific Heat Ratio, Normal velocity, Old speed of sound and Time. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Density behind shock=(Static pressure ahead of shock+(density ahead of shock*(Velocity upstream of shock^2))-Static pressure behind shock)/(Velocity downstream of shock^2)
  • Density behind shock=density ahead of shock*((Specific heat ratio+1)*(Mach Number ahead of shock^2)/(2+((Specific heat ratio-1)*(Mach Number ahead of shock^2))))
  • Density behind shock=density ahead of shock*((Specific heat ratio+1)*(Component of upstream mach normal to oblique shock^2)/(2+((Specific heat ratio-1)*(Component of upstream mach normal to oblique shock^2))))
  • Density behind shock=Stagnation pressure ahead of shock/(1-((Specific Heat Ratio-1)/2)*(Normal velocity/Old speed of sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time))
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