A common device used in various applications to clean particle-laden air is the reverse-flow cyclone. Dusty air (volume flow rate and density p) enters tangentially through an opening in the side of the cyclone and swirls around in the tank. Dust particles are flung outward and fall out the bottom, while clean air is drawn out the top. The reverse-flow cyclones being studied are all geometrically similar; hence diameter D represents the only length scale required to fully specify the entire cyclone geometry. Engineers are concerned about the pressure drop SP through the cyclone. (a) Generate dimensionless relationship between the pressure drop through the cyclone and the given parameters. (b) If the cyclone size is doubled, all else being equal, by what factor will the pressure drop change? (c) If the volume flow rate is doubled, all else being equal, by what factor will the pressure drop change? Clean air out Dusty air in V.r - D Dust and bleed air out