Thermal Expansion of Solids

Written by Jerry Ratzlaff on . Posted in Thermodynamics

thermal expansion solid 1Thermal Expansion of Solids Formulas

\(\large{ \Delta l  =      \alpha  \; l_i \; \Delta T }\)  (linear expansion) 
\(\large{ \Delta A  = 2\; \alpha \;  A_i \; \Delta T }\)  (aerial or superficial expansion) 
\(\large{ \Delta V  =  3\; \alpha \; V_i \; \Delta T }\)  (volumetric or cubical expansion) 

Where:

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

\(\large{ \Delta A }\) = area differential

\(\large{ \Delta V }\) = volume differential

\(\large{ A_i }\) = initial area of object

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

\(\large{ V_i }\) = initial volume of object

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

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

 

Tags: Equations for Thermal