Deriving Newton's Law of Cooling: Explanation & Origins

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    Cooling Law
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Discussion Overview

The discussion centers on the derivation and origins of Newton's Law of Cooling, exploring both theoretical and experimental aspects of the law.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant seeks assistance in understanding the derivation of Newton's Law of Cooling.
  • Another participant states that the law is based on experimental evidence, noting that heat transfer occurs from a warmer body to a cooler one at a rate proportional to the temperature difference.
  • A later reply suggests that the law can be derived from Stefan's law of black body radiation, under the condition that the temperature difference is not large.

Areas of Agreement / Disagreement

No consensus has been reached; multiple viewpoints regarding the derivation and basis of the law are presented.

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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