A 10 cm portion of a 2 cm diameter cylindrical steel rod was immersed in boiling water at a temperature of 100 ° C. The rest of the rod is in contact with ambient air at a temperature of 30 ° C. The transport coefficient for water is 4000 W / m2 ° C and for the air side it is 8 W / m2 ° C. Define the problem and boundary conditions and obtain finite difference expressions. Make network independent for different grid sizes. Determine what is the minimum length of the bar we can hold the bar without burning.
It sounds like a homework assignment to me. Do you really expect someone to do your homework for you?
Show what you already have done and what particular problem you are facing solving the assignment and then you might expect help.
For the beginning, you can ask yourself what mathematical model you are going to employ. Then how you are going to approximate the mathematical model with a numerical one. Then what numerical methods you are going to use to solve the numerical model.
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