Convective heat loss for various surfaces is determined by using Newton's law of cooling
Using excerpts of a Year 12 student's report on modelling Newton's law of cooling
, this paper argues that when students engage with the discourse of their mathematics classroom in a manner that promotes the communication of ideas, they employ mathematical modelling practices that reflect the cyclical approaches to modelling employed by mathematicians.
Week 2: Equilibrium and Stability in one dimension (1st order), Newton's Law of Cooling
Review vector calculus, Newton's laws, conservative systems
(More information follows and you can see that basically this is about Newton's law of cooling
(American heat transfer texts call this equation "Newton's law of cooling
," but it should be attributed to Fourier.)
Newton's law of cooling
is used to model the temperature change of an object that is at some initial elevated temperature placed in an environment of a lower temperature.
Since the rate of cooling is directly proportional to the temperature difference (Newton's law of cooling
), we find that it takes 3 x (65/35) = 5.5 minutes for the coffee to cool in the second case - an argument for putting in the milk first to slow down the cooling process.
The activities address such topics as specific heat, Boyle's Law, Newton's Law of Cooling
, and Antarctic Ozone Levels.
In physics texts and in heat transfer texts, the 1701 article by Newton is cited as the source for what is usually called "Newton's law of cooling
." Surprisingly, this law appears in three different forms: