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 formulas

\(\large{ \Delta T = T_h -  T_l  }\)   
\(\large{ \Delta T = \frac{U^2 } {2 \;  Ec  \; c}  }\) (Eckert number)
\(\large{ \Delta T = \frac{\dot {Q}_t  \; l}{k_t}    }\)  (heat transfer rate
\(\large{ \Delta T = \frac { S }   { E \; \alpha }   }\)  (restrained anchored pipe stress
\(\large{ \Delta T = \frac {Q}{m \; c}  }\) (thermal energy)
\(\large{ \Delta T = \frac { \Delta l }   { l_{ur} \; \alpha }   }\) (unrestrained pipe length)

Where:

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

\(\large{ U }\) = characteristic flow velocity

\(\large{ Ec }\) = Eckert number

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

\(\large{ l }\) = length

\(\large{ m }\) = mass

\(\large{ E }\) = short term modulus of elasticity

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

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

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

\(\large{ S }\) = temperature change stress

\(\large{ k_t }\) = 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