# Thermodynamics- energy transfer

1. Jun 18, 2010

### urgent

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. Jun 18, 2010

### hikaru1221

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
3. Jun 30, 2010

### salimrazzi

I want to solve water hammer equations with the help of Finite Difference Method by using MATLAB. Can any one help me.
Thanks