Linear coefficient of thermal expansion

The linear coefficient of thermal expansion quantifies how an object’s length changes with temperature when pressure remains constant.

Conditions:

1. Pressure is constant throughout the temperature change.

2. The temperature interval is small enough for the coefficient to be treated as constant.

Links:

1. Wikipedia

linear_expansion_coefficient

Linear thermal_expansion_coefficient of the object.

Symbol:

alpha_l

Latex:

\(\alpha_{l}\)

Dimension:

1/temperature

temperature

temperature of the object.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

pressure

pressure of the object, which is held constant.

Symbol:

p

Latex:

\(p\)

Dimension:

pressure

length

length of the object as a function of temperature and, indirectly, pressure \(p\).

Symbol:

l(T, p)

Latex:

\(l{\left(T,p \right)}\)

Dimension:

length

definition

alpha_l = Derivative(l(T, p), T) / l(T, p)

Latex:

\[\alpha_{l} = \frac{\frac{\partial}{\partial T} l{\left(T,p \right)}}{l{\left(T,p \right)}}\]