Volumetric coefficient of thermal expansion¶

The coefficient of thermal expansion describes how the size of an object changes with a change in temperature at constant pressure.

Conditions:

Pressure must be constant during the expansion process.

Links:

Wikipedia.

volumetric_expansion_coefficient¶: Volumetric thermal_expansion_coefficient.

Symbol:: alpha_V
Latex:: \(\alpha_{V}\)
Dimension:: 1/temperature

temperature¶: temperature of the body.

Symbol:: T
Latex:: \(T\)
Dimension:: temperature

parameters¶: Parameters other than temperature on which the volume function depends.

Symbol:: q
Latex:: \(q\)
Dimension:: any_dimension

volume¶: volume of the body as a function of temperature and parameters.

Symbol:: V(T, q)
Latex:: \(V{\left(T,q \right)}\)
Dimension:: volume

definition¶

alpha_V = Derivative(V(T, q), T) / V(T, q)

Latex:: \[\alpha_{V} = \frac{\frac{\partial}{\partial T} V{\left(T,q \right)}}{V{\left(T,q \right)}}\]