--fluid mechanics--
The diameter of the soap bubbles (d) formed by a bubble toy isthought to be a function of surface tension between the soap-watersolution (σs), the pressure difference between inside the bubbleand the environment (ΔP), the diameter of the circular wire frame(D), the dynamic viscosity (μ) and the density (Ï) of thesoap-water solution.
a) How many dimensionless parameters arise from thisconfiguration?
b) Is there an evident dimensionless parameter which can befound without any calculation? If yes, which parameter?
c) If two of the repeating variables are given as surfacetension (σs ) and density (Ï), find the rest of the repeatingvariable or variables.
d) Find the dimensionless parameters (Pi numbers)
e) The model experiments the D=3 cm diameter wire framesubmerged into soap-water solution whose surface tension (σs) is0,025 N/m, is blown with an effective pressure of 20 mmwater-column. Find the effective pressure that needs to be appliedif the D=30 cm wire frame prototype will work at 30°C (σs = 0,02N/m)
