Pipeng Toolbox : Mach Number Calculators Blank User
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Dimensionless Mach Number

Calculate the dimensionless Mach number from fluid velocity and the speed of sound.

The Mach number is the ratio of the fluid velocity over the speed of sound

`Ma = v / c `
`c = √(k Z Rg T) `
`Rg = (Ro) / (mmg) `

where :

Ma = Mach number
v = fluid velocity
c = speed of sound
k = specific heat ratio
Z = compressibility factor
Rg = spefic gas constant
Ro = universal gas constant
mmg = gas molar mass

For an ideal gas the speed of sound can be calculated from the temperature. For objects moving through stationary fluid (eg an airplane), the velocity of the object is used.

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CALCULATOR : Dimensionless Mach Number And Velocity [FREE]   ±

Calculate dimensionless Mach number from fluid velocity or fluid velocity from Mach number.

The dimensionless Mach number is the ratio of the velocity to the speed of sound in the fluid. It may be applied to a moving fluid, or to a moving body in a stationary fluid. The speed of sound can either be calculated for an ideal gas or be user defined.

Tool Input

  • fluidtype : Fluid Type
    • γu : User Defined Specific Heat Ratio
    • SGu : User Defined Gas Specific Gravity
  • zfactype : Compressibility Factor Type
    • Zu : User Defined Compressibility Factor
  • cctype : Speed Of Sound Type
    • Cu : User Defined Sound Velocity
  • machtype : Mach Number Type
    • Vu : User Defined Fluid Velocity
    • Mu : User Defined Mach Number
  • T : Fluid Temperature

Tool Output

  • γ : Specific Heat Ratio
  • C : Speed Of Sound
  • M : Mach Number
  • Rg : Specific Gas Constant
  • SG : Gas Specific Gravity Relative To Air
  • V : Fluid Velocity
  • Z : Gas Compressibility Factor
  • mmg : Gas Molar Mass

CALCULATOR : Dimensionless Number Gas Density And Compressibility Factor [FREE]   ±

Calculate dimensionless number gas density and compressibility factor from temperature, pressure and critical point constants.

The compressibility factor can be calculated from either the Peng Robinson, Soave, Redlich Kwong, or van der Waals equation 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
    • SGu : User Defined Gas Specific Gravity
    • ωu : User Defined Acentric Factor
    • Pcu : User Defined Critical Pressure
    • Tcu : User Defined Critical Temperature
  • eostype : Equation Of State
    • Zu : User Defined Compressibility Factor
  • P : Fluid Pressure
  • T : Fluid Temperature

Tool Output

  • ρ : Fluid Density
  • ω : Accentric Factor
  • Pc : Critical Point Pressure
  • Pr : Reduced Pressure
  • SG : Gas Specific Gravity Relative To Air
  • Tc : Critical Point Temperature
  • Tr : Reduced Temperature
  • Vm : Molar Volume
  • Z : Compressibility Factor
  • cvg : Convergence Check
  • mw : Fluid Molar Mass
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