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Thermodynamics- energy transfer

  1. Jun 18, 2010 #1
    1. The problem statement, all variables and given/known data
    ice has formed on a pond and steady state has been reached. the air temperature above the ice is -10 degrees celcius, while at the bottom of the pond the temperature is 4 degrees celcius. the total depth of the ice and water is 0.50m. if the thermal conductivites of ice and water are 1.68 and 0.50 W/m*K respectively, how thick is the ice?


    2. Relevant equations
    H=k*A*delta T/delta x


    3. The attempt at a solution
    im not really sure on how to solve this question, guided steps would be really appreciated, i got an exam in 2 days and not sure hjow to solve it:( help would be great:D thx
     
  2. jcsd
  3. Jun 18, 2010 #2
    1 - What is the temperature at the interface of water and ice? (At what temperature can water and ice co-exist?)
    2 - Write 2 equations of the heat flow rates through water and ice.
    3 - What is the relation of the 2 heat flow rates above under the steady state?
    From question 2 and 3, you should obtain an equation connecting 2 unknowns: the thickness of the ice and the thickness of water in the pond. Another equation is about the total depth.

    This one is optional:
    4 - What assumption about the heat flow did we make?
     
    Last edited: Jun 18, 2010
  4. Jun 30, 2010 #3
    I want to solve water hammer equations with the help of Finite Difference Method by using MATLAB. Can any one help me.
    Thanks
     
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