Students in the fluid mechanics lab at Penn State University use the device in the figure to measure the viscosity of water: a tank and a capillary tube. The flow is laminar and has negligible entrance loss, in which case Chap. 6 theory shows that hf = 32μLV/ (ρgd2). Students measure water temperature with a thermometer and Q with a stopwatch and a graduated cylinder. Density is measured by weighing a known volume.
(a) Write an expression for μ as a function of these variables.
(b) Calculate μ for the following actual data: T = 16.5°C, ρ = 998.7 kg/m3, d = 0.041 in, Q = 0.31 mL/s, L = 36.1 in, and H = 0.153 m.
(c) Compare this μ with the published result for the same temperature.
(d) Compute the error which would occur if one forgot to include the kinetic energy correction factor. Is this correction important here?

d-