Thermodynamics- energy transfer

AI Thread Summary
The discussion focuses on solving a thermodynamics problem involving heat transfer through ice and water in a pond. The temperatures are -10 degrees Celsius above the ice and 4 degrees Celsius at the pond's bottom, with a total depth of 0.50m. Participants suggest finding the temperature at the ice-water interface and establishing equations for heat flow rates through both mediums. The relationship between these heat flow rates under steady-state conditions will help derive equations for the thickness of the ice and water. The conversation also touches on assumptions made about heat flow, indicating a need for clarity in the problem-solving approach.
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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
 
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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:
I want to solve water hammer equations with the help of Finite Difference Method by using MATLAB. Can anyone help me.
Thanks
 

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