Problem 9.3.28. Flow boiling: \( 1 \mathrm{ton} / \mathrm{m}^{2} \mathrm{~s} \) of water is flowing upward a vertical tube \( (d=12 \mathrm{~mm}) \). The water enters the tube at a pressure of 10.0 MPa and a temperature of \( 200^{\circ} \mathrm{C} \). It is initially heated to the saturation temperature and then partly vaporized. The tube is heated with a constant heat flux \( \dot{q}=0.8 \mathrm{MW} / \mathrm{m}^{2} \). Use EES software or an Excel worksheet to calculate:
1. the tube length at which the water quality \( x=0.0,0.25,0.5,0.75,1.0 \)
2. the heat transfer coefficient at \( x=0.0,0.25,0.5,0.75,1.0 \)
3. the wall temperature at \( x=0.0,0.25,0.5,0.75,1.0 \)
4. the local heat transfer coefficient at \( x=0.0,0.25,0.5,0.75,1.0 \)
5. the mean heat transfer coefficient for the whole saturation section
6. the critical heat flux
