Hello,(adsbygoogle = window.adsbygoogle || []).push({});

In my Differential Equations class we are learning about modelling with first order differential equations. We learned that Newton's Law of Cooling breaks down when the temperature of the object is approaching the temperature of the room its in. You eventually get to a point where you have

0 = e^x

or some variation of that, where of course there is no solution. This leads me to a few questions.

1.) Are there mathematical models that don't break down, i.e maybe they aren't perfect but they are still agood approximationand

2.) Have we come up with a newer model of cooling that does not break down at the point were the object temperature reaches the ambient temperature?

Thanks for your time,

-Lee

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Newton's Law of Cooling and other Models

Loading...

Similar Threads - Newton's Cooling Models | Date |
---|---|

A Can Newton's method work with an approximated integral | Dec 28, 2017 |

Optimization using newton's method gradient hessian | Apr 17, 2015 |

Newtons Cooling problem/ possible error in book. | Jun 6, 2013 |

Newton's law of cooling with multiple containers DE's | Mar 25, 2012 |

Newton's Law of Cooling Problem | Sep 2, 2005 |

**Physics Forums - The Fusion of Science and Community**