Refer to the Heat Transfer Engineering (Vol. 34, 2013) study of bubble behavior in subcooled flow boiling, Exercises 11.6 and 11.29. You fit an interaction model for bubble density (y) as a function of x₁ = mass flux and x₂ = heat flux. Conduct a complete residual analysis for the model. Do you recommend any model modifications?

Data from Exercise 11.6

In industry cooling applications (e.g., cooling of nuclear reactors), a process called subcooled flow boiling is often employed. Subcooled flow boiling is susceptible to small bubbles which occur near the heated surface. The characteristics of these bubbles were investigated in Heat Transfer Engineering (Vol. 34, 2013). A series of experiments was conducted to measure two important bubble behaviors— bubble diameter (millimeters) and bubble density (liters per meters squared). The mass flux (kilograms per meters squared per second) and heat flux (megawatts per meters squared) were varied for each experiment. 

Transcribed Image Text:

BUBBLE2 Bubble Mass Flux Heat Flux Diameter Density 1 406 0.15 0.64 13103 2 406 0.29 1.02 29117 406 0.37 1.15 123021 4 406 0.62 1.26 165969 5 406 0.86 0.91 254777 6. 406 1.00 0.68 347953 7. 811 0.15 0.58 7279 8. 811 0.29 0.98 22566 9. 811 0.37 1.02 106278 10 811 0.62 1.17 145587 11 811 0.86 0.86 224204 12 811 1.00 0.59 321019 13 1217 0.15 0.49 5096 14 1217 0.29 0.80 18926 15 1217 0.37 0.93 90992 16 1217 0.62 1.06 112102 17 1217 0.86 0.81 192903 18 1217 1.00 0.43 232211 3.