Temperature profile around heat source

  • Thread starter Haye
  • Start date
  • #1
15
2

Homework Statement


A point source in water provides 10 W of heat for 10 seconds, and is then shut off. The surrounding water has a temperature of 20 °C. Provide the temperature profile as a function of distance r and time t.


Homework Equations





The Attempt at a Solution



If it were steady-state, I could use Gauss theorem to solve this problem. But since the point source is turned on and off again, I have no idea how to approach this problem.
If someone could hint me in the right direction, it would be very much appreciated.
 

Answers and Replies

  • #2
1,948
201
You have to use the inhomogeneous heat transfer partial differential equation.
 

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