Thermodynamics- energy transfer

[urgent]

Homework Statement

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?

Homework Equations

H=k*A*delta T/delta x

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

 

[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?

 

[salimrazzi]

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