Linear Thermal Expansion Coefficient

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Linear thermal expansion coefficient, abbreviated as \(\alpha\), also known as coefficient of linear thermal expansion, is the ratio of the change in size of a material to its change in temperature.

Linear Thermal Expansion Coefficient FORMULA

\(\large{ \alpha_l  =  \frac{ 1 }{ l } \; \frac{\Delta l }{\Delta T}   }\)

\(\large{ \alpha_l  =  \frac{ l_f \;-\; l_i }{ l_i \; \left( T_f \;-\; T_i  \right)   }   }\)

\(\large{ \alpha_l  =  \frac{  \alpha_v }{ 3 }    }\)

Where:

\(\large{ \alpha_l }\)   (Greek symbol alpha) = linear thermal expansion coefficient

\(\large{ l }\) = length of object

\(\large{ \Delta l }\) = length differential

\(\large{ l_f }\) = final length

\(\large{ l_i }\) = initial length

\(\large{ \Delta T }\) = temperature differential

\(\large{ T_f }\) = final temperature

\(\large{ T_i }\) = initial temperature

\(\large{ \alpha_v }\)  (Greek symbol alpha) = volumetric thermal expansion coefficient

 

Tags: Equations for Thermal Equations for Coefficient