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Temperature profile around heat source

  1. Jun 18, 2014 #1
    1. The problem statement, all variables and given/known data
    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.


    2. Relevant equations



    3. 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.
     
  2. jcsd
  3. Jun 18, 2014 #2
    You have to use the inhomogeneous heat transfer partial differential equation.
     
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