# Unrestrained Pipe Expansion

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

## Unrestrained Pipe Expansion formula

$$\large{ l_{ur} = \frac { \Delta l } { \alpha \; \Delta T } }$$
Symbol English Metric
$$\large{ l_{ur} }$$ = unrestrained pipe length $$ft$$  $$m$$
$$\large{ \Delta l }$$ = pipe length change due to temperature change $$in$$ $$mm$$
$$\large{ \alpha }$$  (Greel symbol alpha) = thermal expansion coefficient $$\large{ \frac{in}{in-F} }$$ $$\large{ \frac{mm}{mm-C} }$$
$$\large{ \Delta T }$$ = temperature differential $$F$$ $$C$$