Heat Flux Calculation: Copper Wire

Please see the attached file for the fully formatted problem(s).


1. A heated copper wire 1 mm in diameter is in a pool of water at 1 atm. What is the maximum heat flux (q/A)?
The temperature difference is related to the heat flux (q/A) by the following equation:

[Equation]

What temperature difference (which we’ll call zTmax) is associated the
maximum heat flux (q/A)? What is the corresponding heat transfer coefficient for this maximum heat flux situation?
If the water were in the film boiling regime, what is the heat transfer coefficient corresponding to Tmax? Estimate the temperature difference T needed to achieve the maximum heat flux in the film boiling regime.
What is the required wire temperature?
How does this compare with the melting point of copper?