Thermal Expansion

Discussion

Solids

For many solids, expansion is directly proportional to temperature change.

Δℓ = αℓ0ΔT

Areas expand twice as much as lengths do.

ΔA = 2αA0ΔT

Volumes expand three times as much as lengths do.

ΔV = 3αV0ΔT

applications

measurement techniques

anisotropic expansion

liquids

Liquids can only expand in volume.

ΔV = βV0ΔT

Liquids have higher expansivities than solids.

β ~ 10−3/K, 3α ~ 10−5/K

applications