During an experiment, three aluminum balls (ρs =2600 kg/m3) having diameters 2, 4, and 10 mm, respectively, are dropped into a tank filled with glycerin at 22°C (ρj = 1274 kg/m3 and μ = 1 kg/m-s). The terminal settling velocities of the balls are measured to be 3.2, 12.8, and 60.4 mm/s, respectively. Compare these values with the velocities predicted by Stokes law for drag force FD =3πμDV, which is valid for very low Reynolds numbers (Re ≪ 1). Determine the error involved for each case and assess the accuracy of Stokes law.
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