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Engineering ToolBox > Thermal Expansion - Volumetric or Cubic
Specific volume of a unit can be expressed as
v = 1 / ρ = V / m (1)
where
v = specific volume (m3/kg)
ρ = density (kg/m3)
V = volume of unit (m3)
m = mass of unit (kg)
The change in the units volume when temperature change can be expressed as
dV = V0 β (t1 - t0) (2)
where
dV = V1 - V0 = change in volume (m3)
β = volumetric temperature expansion coefficient (m3/m3 oC)
t1 = final temperature (oC)
t0 = initial temperature (oC)
The density of a fluid when the temperature is changed can be expressed as
ρ1 = m / V0 (1 + β (t1 - t0))
= ρ0 / (1 + β (t1 - t0)) (3)
where
ρ1 = final density (kg/m3)
ρ0 = initial density (kg/m3)