Temperature Differential

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Temperature differential, abbreviated as \(\Delta T\) or TD, is the difference between two specific temperature points of a volume at a given time in a system.

Temperature Differential Formula

\(\large{ \Delta T = T_h -  T_l  }\)          

\(\large{ \Delta T = \frac{\dot {Q}_t  \; l}{k_t}    }\)     (heat transfer rate)

\(\large{ \Delta T = \frac {Q}{m \; c}  }\)     (thermal energy)

\(\large{ \Delta T = \frac { \Delta l }   { l_{ur} \; \alpha }   }\)     (unrestrained pipe length)

Where:

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

\(\large{ \dot {Q}_t }\) = heat transfer rate

\(\large{ l }\) = length

\(\large{ m }\) = mass

\(\large{ \Delta l }\) = pipe length change due to temperature change

\(\large{ c }\) = specific heat

\(\large{ T_h }\) = high temperature

\(\large{ T_l }\) = low temperature

\(\large{ k_t }\) = thermal conductivity constant

\(\large{ Q }\) = thermal energy

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

\(\large{ l_{ur} }\) = unrestrained pipe length

 

Tags: Equations for Temperature Equations for Differential