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 $\mathrm{\Delta }T$ is small enough for the expansion coefficient ${\alpha }_V$ to be constant.

Links:

1. Wikipedia.

fractional_volume_change

Change in the body’s volume divided by its initial volume. See fractional_change.

Symbol:

e_V

Latex:

$e_V$

Dimension:

dimensionless

volumetric_expansion_coefficient

Volumetric thermal_expansion_coefficient.

Symbol:

alpha_V

Latex:

${\alpha }_V$

Dimension:

1/temperature

temperature_change

Change in body’s temperature.

Symbol:

Delta(T)

Latex:

$\mathrm{\Delta }T$

Dimension:

temperature

law

e_V = alpha_V * Delta(T)

Latex:

$$e_V={\alpha }_V\mathrm{\Delta }T$$