Answer Happy

or nur (b) Conduct a dimensional analysis to obtain the pi groups required when analysing pressure [6] drop in pipe flow systems and/explain how engineers use these dimensionless groups to analyse pipe flow systems. (c) Oil with a density of 950 kg/m³ and viscosity of 1 x 10-2Pa.s flows through a 0.2 m diameter, 500 m long pipe on a downware incline of 1m in 50m in the flow direction. The roughness ratio of the pipe is e/D = 0.0002 and the following flanged fittings are incorporated: one fully open swing check valve and five 90° long radius elbows. (i) Determine the pressure differential required to pump fluid through the pipeline if the desired volumetric flow rate is 150 L/s [6] [8] (ii) Determine the volumentric flow rate that would naturally result from the head difference across the pipeline alone, i.e. without any pump.