How do you derive Newton's law of cooling?

  • Level: Undergrad 
  • Thread starter Thread starter mprm86
  • Start date Start date
  • Tags Tags
    Cooling Law
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
3 replies · 3K views
mprm86
Messages
52
Reaction score
0
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.
 
Physics news on Phys.org

Discussion

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.
 
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.
 

Similar threads

Undergrad Newton's law of cooling - formula for constant k
  • FEAnalyst
  • · Replies 4 ·
  • Mechanics
Replies
4
Undergrad Newton's Law of Cooling - "k" constant
  • Ben Evans
  • · Replies 3 ·
  • Mechanics
Replies
3
Undergrad Newton's Law of Cooling temp graph
  • MelanieBrett
  • · Replies 2 ·
  • Mechanics
Replies
2
Undergrad Where does dQ/dt = KA(dT/dx) come from in Newton's law of cooling?
  • andyrk
  • · Replies 5 ·
  • Mechanics
Replies
5
Undergrad Understanding Newton's Law of Cooling: Definition, Equation, and Application
  • Arcthor
  • · Replies 2 ·
  • Mechanics
Replies
2
High School What does 'k' in Newton's law of cooling represent?
  • namitakn
  • · Replies 4 ·
  • Mechanics
Replies
4
High School How do you derive the parallelogram method for adding forces at different angles?
  • DLeuPel
  • · Replies 2 ·
  • Mechanics
Replies
2
Undergrad What does the cooling constant k represent in Newton's law of cooling?
  • gokuls
  • · Replies 1 ·
  • Mechanics
Replies
1
How Does Newton's Law of Cooling Apply to a Roast Turkey?
  • Tineeyyy
  • · Replies 2 ·
  • Calculus
Replies
2
Undergrad A decent k value for Newton's law of cooling for water?
  • Chernoobyl
  • · Replies 6 ·
  • Mechanics
Replies
6