

Newton's cooling of body may be stated as the rate of cooling of a hot body is directly proportional to the excess of temperature of the body over its surroundings, provided the excess of temperature is small and the nature of the radiating surface remains the same.
The Newton's law of cooling is applicable when
1.the heat lost by conduction is negligible and the heat lost by body is mainly by convection
2. the hot body is cooled in uniform stream lined flow of air or forced convection.
3. the temperature of every part of body is same
Actually convection process is slow process than conduction, but due to convection, there is large change in temperature because of moving of particles from one place to another place. So that, according to Newton, cooling of body happens is mainly due to convection, so he neglected the conduction in case of cooling of body.