The Newton’s law of cooling is the governor’s convectional Heat transfer, in convection heat transfer occurs by actual movement of molecules due to difference in their density.
It states that the rate of convectional heat transfer is proportional to the surface area and temperature difference.
- T is the temperature of the object.
- 𝑇env is the ambient temperature (temperature of the surroundings).
- 𝑘 is a positive constant that depends on the characteristics of the object and the surrounding environment.
- 𝑑𝑇/𝑑𝑡is the rate of change of the temperature of the object with respect to time.
Practical Implications of newton’s law of cooling
- Cooling and Heating: The same equation applies to both cooling and heating processes, depending on whether 𝑇0 is greater or less than 𝑇env.
- Rate of Cooling/Heating: The rate of temperature change is fastest when the difference between the object’s temperature and the ambient temperature is greatest.
- Approach to Equilibrium: Over time, the object’s temperature asymptotically approaches the ambient temperature.