Bubble behavior in subcooled flow boiling. 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 that 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. The data obtained at a set pressure are listed in the following table.

a. Consider the multiple regression model E1y12 = b0 +
b1x1 + b2x2, where y1 = bubble diameter, x1 = mass flux, and x2 = heat flux. Use statistical software to fit the model to the data and test the overall adequacy of the model.

b. Consider the multiple regression model E1y22 = b0 +
b1x1 + b2x2, where y2 = bubble density, x1 = mass flux, and x2 = heat flux. Use statistical software to fit the model to the data and test the overall adequacy of the model.

c. Which of the two dependent variables, diameter (y1)
or density (y2), is better predicted by mass flux (x1)
and heat flux (x2)?

Bubble Mass Flux Heat Flux Diameter Density 10 1234567890 406 0.15 0.64 13103 406 0.29 1.02 29117 406 0.37 1.15 123021 406 0.62 1.26 165969 406 0.86 0.91 254777 406 1.00 0.68 347953 811 0.15 0.58 7279 811 0.29 0.98 22566 811 0.37 1.02 106278 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