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Physical properties of fluid and fluid transport in piping system

Density, specific volume, specific gravity

Density of fluid, compressibility of gas

Flow in pipes and valves theory - full content

The density is the mass of substance per unit of volume.

where is:

  • &rho - density
  • m - mass
  • V - volume

The unit of density is kilogram per cubic meter [kg/m3] in SI system of units and used symbol is &rho . Also, other units are used for density like gram per cubic centimeter [g/cm3], or gram per milliliter [g/ml] which are both equal to 1000 kilograms per cubic meter [kg/m3].

For ideal gas relation between pressure, density and temperature is expressed using the equation of state:

where is:

  • p - pressure
  • &rho - density
  • R - gas constant
  • T - absolute temperature

For real gas modified equation of state is used with compressibility factor included:

where is:

  • p - pressure
  • &rho - density
  • T - absolute temperature
  • Z - compressibility factor
  • R - gas constant

Compressibility factor is function of pressure and temperature. Compressibility factor can be calculated using Berthelot equation:

where is:

  • pr - reduced pressure
  • Tr - reduced temperature
  • Z - compressibility factor

which are calculated as follows:

where is:

  • pc - critical pressure
  • Tc - critical temperature

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