Newton's Law of Cooling

\frac{d T}{d t} = - h (T - T_{e n v})

Rate of cooling proportional to temperature difference. Solution: T(t) = T_env + (T₀ - T_env)e^(-ht).

Variables

dT/dt

Rate of temperature change

Cooling rate

K/s

Cooling constant

Depends on surface and medium

1/s

Object temperature

Current temperature

T_env

Environment temperature

Ambient temperature

Empirical law for convective cooling. Valid when temperature difference is small.

0/5000