Volumetric - Cubic - Thermal Expansion

Cubical expansion when changing temperature - online calculator

volumetric temperature expansion

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)

Online Thermal Cubic Expansion Calculator

V0 - initial volume (m3, ft3, gallons ..)

β - volumetric expansion coefficient (1/oC, 1/oF)

t0 - initial temperature (oC, oF)

t1 - final temperature (oC, oF)

Volumetric Temperature Coefficients - β - of some common Fluids

  • water : 0.000214 (1/oC),
  • ethyl alcohol : 0.00109 (1/ oC), 0.00061 (1/oF)
  • oil : 0.00070 (1/oC), 0.00039 (1/oF)

Example - Cubic Expansion of Water

100 liters of water is heated from 20oC to 80oC. The volumetric expansion of the water can be calculated by using equation 2:

dV = (100 liters) (0.000214 1/ oC) ((80 oC) - (20 oC)) 

  = 1.28 liter

 

Related Topics

  • Heating - Heating systems - capacity and design of boilers, pipelines, heat exchangers, expansion systems and more
  • Water Systems - Hot and cold water systems - design properties, capacities, sizing and more
  • Thermodynamics - The effects of work, heat and energy on a system

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