(Solved): 2. Air bubbles discharge from the end of a submerged tube as shown in Fig. Prob. 2. The bubble ...

2. Air bubbles discharge from the end of a submerged tube as shown in Fig. Prob. 2. The bubble diameter, $$D$$, is assumed to be a function of the air flowrate, $$Q$$, the tube diameter, $$d$$, the acceleration of gravity, $$g$$, the density of the liquid, $$?$$, and the surface tension of the liquid, $$?$$. (15Points) 1) Determine a suitable set of dimensionless variables for this problem. 2) Model tests are to be run on the Earth for a prototype that is to be operated on a planet where the acceleration of gravity is 10 times greater than that on Earth. The model and prototype are to use the same fluid, and the prototype tube diameter is $$0.25\mathrm{cm}$$. Determine the tube diameter for the model and the required model flowrate if the prototype flowrate is to be $$0.001{\mathrm{cm}}^3/\mathrm{s}$$. Fig. Prob. 2