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Compressible Flow Normal Shock Wave

Calculate compressible flow normal shock wave properties for an ideal gas.

The flow is assumed to be supersonic upstream of the shock wave (M > 1), and subsonic downstream of the shock wave (M < 1). The shock wave is assumed to be adiabatic and non isentropic. Phase changes are ignored.

Reference : Fluid Mechanics, Frank M White, McGraw Hill

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CALCULATOR : Compressible Flow Normal Shock From Mach Number [FREE]   ±

Calculate flow properties across a normal shock wave from the Mach number.

Flow is assumed to be supersonic upstream of the shock wave (M > 1), and subsonic downstream of the shock wave (M < 1). The temperature and pressure can be defined at either upstream conditions, or at downstream conditions. Shock waves are assumed to be adiabatic and non isentropic.

Use the goal seek option to calculate the Mach number from velocity, or from pressure and temperature. Phase changes are ignored.

Tool Input

  • fluidtype : Fluid Type
    • γu : User Defined Specific Heat Ratio
    • SGu : User Defined Gas Specific Gravity
  • zfactype : Factor Type
    • Zu : User Defined Compressibility Factor
  • presstype : Shock Wave Pressure Type
    • Puu : User Defined Upstream Pressure
    • Pdu : User Defined Downstream Pressure
    • Tuu : User Defined Upstream Temperature
    • Tdu : User Defined Downstream Temperature
  • M : Mach Number

Tool Output

  • γ : Specific Heat Ratio
  • ρd : Downstream Density
  • ρu : Upstream Density
  • Cd : Downstream Speed Of Sound
  • Cu : Upstream Speed Of Sound
  • Md : Downstream Mach Number
  • Mu : Upstream Mach Number
  • Pd : Downstream Pressure
  • Pu : Upstream Pressure
  • Rg : Specific Gas Constant
  • SG : Gas Specific Gravity
  • Td : Downstream Temperature
  • Tu : Upstream Temperature
  • Vd : Downstream Velocity
  • Vu : Upstream Velocity
  • Z : Compressibility Factor
  • mmg : Gas Molar Mass

CALCULATOR : Compressible Flow Gas Density And Compressibility Factor [FREE]   ±

Calculate gas compressibility factor and density from gas temperature and pressure for common gases: argon Ar, n-decane C10H22, ethylene C2H4, ethyl chloride C2H5Cl, ethane C2H6, propene C3H6, propane C3H8, iso-butane C4H10, n-butane C4H10, iso-pentane C5H12, n-pentane C5H12, n-hexane C6H14, n-heptane C7H16, n-octane C8H18, n-nonane C9H20, methyl chloride CH3Cl, methane CH4, chlorine Cl2, carbon monoxide CO, carbon dioxide CO2, hydrogen H2, steam H2O, hydrogen sulphide H2S, hydrogen chloride HCl, helium He, krypton Kr, nitrogen N2, air N2+O2, ammonia NH3, oxygen O2, sulphur dioxide SO2, xenon Xe.

The gas compressibility factor is calculated from the critical point temperature, critical point temperature, and the accentric factor using either the Peng Robinson, Soave, Redlich Kwong or Van Der Waals equations of state (EOS). The compressibility factor calculation is valid for gas phase only. Use the Result Plot option to plot compressibility factor versus pressure and temperature, compressibility factor versus pressure and equation of state type, or compressibility factor versus temperature and equation of state type.

Tool Input

  • fluidtype : Fluid Type
    • Pcu : User Defined Critical Point Pressure
    • Tcu : User Defined Critical Point Temperature
    • ωu : User Defined Accentric Factor
    • SGu : User Defined Gas Specific Gravity
  • eostype : Equation Of State Type
    • Zu : User Defined Gas Compressibility Factor
  • P : Fluid Pressure
  • T : Fluid Temperature

Tool Output

  • ρ : Fluid Density
  • ω : Accentric Factor
  • Pc : Critical Point Pressure
  • Rg : Specific Gas Constant
  • SG : Gas Specific Gravity
  • Tc : Critical Point Temperature
  • Vm : Molar Volume
  • Z : Compressibility Factor
  • cvg : Convergence Check
  • mmg : Gas Molar Mass