# Temperature Differential

Written by Jerry Ratzlaff. Posted in Thermodynamics

Temperature differential is the difference between two specific temperature points of a volume at a given time in a system.

## formula

$$\Delta T = T_h \;- \; T_l$$

$$\Delta T = \frac {\dot {Q}_t l} {k_t}$$

Where:

$$\Delta T$$ or $$TD$$ = temperature differential

$$T_h$$ = high temperature

$$T_l$$ = low temperature

$$\dot {Q}_t$$ = heat transfer rate

$$l$$ = length

$$k_t$$ = thermal conductivity constant

Solve for:

$$l = k_t \frac {\Delta T} {\dot {Q}_t}$$