Fractional volume change via small temperature change

Thermal expansion is the phenomenon when a body increases its dimensions in response to an increase in temperature. For small temperature changes, the expansion coefficient is approximately constant and the fractional change in the body’s volume is proportional to the change in the body’s temperature.

Conditions:

  1. The temperature change \(\Delta T\) is small enough for the expansion coefficient \(\alpha_V\) to be constant.

Links:

  1. Wikipedia.

fractional_volume_change

Change \(\Delta V\) in the body’s volume divided by its initial volume \(V\).

Symbol:

e_V

Latex:

\(e_V\)

volumetric_expansion_coefficient

Volumetric coefficient of thermal expansion.

Symbol:

alpha_V

Latex:

\(\alpha_V\)

temperature_change

Change in body’s temperature.

Symbol:

dT

Latex:

\(\Delta T\)

law

e_V = alpha_V * dT

Latex:
\[e_V = \alpha_V \, \Delta T\]