Deriving Newton's Law of Cooling: Explanation & Origins

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SUMMARY

Newton's Law of Cooling states that heat transfer occurs from a warmer body to a cooler one at a rate proportional to the temperature difference. This law can be derived from Stefan's Law of black body radiation, particularly under the condition that the temperature difference between the object and its surroundings is relatively small. The discussion emphasizes the importance of experimental evidence in establishing this principle.

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  • Understanding of Newton's Law of Cooling
  • Familiarity with Stefan's Law of black body radiation
  • Basic principles of heat transfer
  • Knowledge of temperature differentials
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  • Study the derivation of Newton's Law of Cooling from Stefan's Law
  • Explore experimental methods for measuring heat transfer rates
  • Investigate applications of Newton's Law of Cooling in real-world scenarios
  • Learn about black body radiation and its implications in thermodynamics
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Students of physics, researchers in thermodynamics, and professionals involved in heat transfer applications will benefit from this discussion.

mprm86
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I know what this law says, but I don´t know where does it comes from. Could someone please help me with the derivation of this law?
Thanks in advance.
 
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It's purely a matter of experimental evidence- heat flows from a warmer body to a cooler one at a rate proportional to the difference in temperatures.
 
OK Thanks.
 
you may derive this law from Stefan's law of black body radiation with the approximation that the temperature difference between the body and surrounding is not much large.
 

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