Thermal Expansion of Solids

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Thermal Expansion of Solids Formulas

(Eq. 1)  \(\large{ \Delta l  =      \alpha   l_i  \Delta T }\)     (linear expansion)                            

(Eq. 2)  \(\large{ \Delta A  = 2 \alpha   A_i  \Delta T }\)     (aerial or superficial expansion)        

(Eq. 3)  \(\large{ \Delta V  =  3 \alpha  V_i  \Delta T }\)     (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