a) Sketch the velocity distribution against radial positions in a perfectly smooth pipe with a circular...
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a) Sketch the velocity distribution against radial positions in a perfectly smooth pipe with a circular cross-section for: a laminar flow; a turbulent flow. i) ii) [2 marks] [2 marks] b) A pump pipework system as shown in Figure Q6 is required to collect water from a ground-level tank and raise it to a roof-level reservoir located 50 m above ground. The water flow velocity Umax measured at the centreline of the pipe is 3 m/s. The velocity profile of the water flow in the pipe shows a flattened core and it is known that inertial forces are the dominating forces in the water flow. The water pipe is 150 m long and its diameter is 50 mm. The water pipe used are perfectly smooth. The pipework comprises a sudden pipe entry, three standard 90 bends, 2 fully open gate valves and a pipe exit at the roof-level reservoir. Assume the density of water is 1000 kg/m and the viscosity is 0.001 kg/(m.s). i) ii) 50 m Fig. Q6 - Schematic of the pumped pipework system State whether the flow is laminar or turbulent. [2 marks] Assume the 1/7th power law is valid in this case, calculate the Fanning friction factor (C) of the water flow in the pipework system using Equation Q6 given below: -4log10 [0.27e + (17)] (Eq. Q6) C where e and D are the surface roughness and the pipe diameter, respectively. [4 marks] iii) Considering viscous and minor losses along the pipework system, using the method of equivalent length Le, calculate the total head that the water pump must generate to deliver water from the ground-level tank to the roof-level reservoir. A list of minor loss factors for different fittings, entrance and exit conditions are provided in Table Q6 in a separate handout. [10 marks] a) Sketch the velocity distribution against radial positions in a perfectly smooth pipe with a circular cross-section for: a laminar flow; a turbulent flow. i) ii) [2 marks] [2 marks] b) A pump pipework system as shown in Figure Q6 is required to collect water from a ground-level tank and raise it to a roof-level reservoir located 50 m above ground. The water flow velocity Umax measured at the centreline of the pipe is 3 m/s. The velocity profile of the water flow in the pipe shows a flattened core and it is known that inertial forces are the dominating forces in the water flow. The water pipe is 150 m long and its diameter is 50 mm. The water pipe used are perfectly smooth. The pipework comprises a sudden pipe entry, three standard 90 bends, 2 fully open gate valves and a pipe exit at the roof-level reservoir. Assume the density of water is 1000 kg/m and the viscosity is 0.001 kg/(m.s). i) ii) 50 m Fig. Q6 - Schematic of the pumped pipework system State whether the flow is laminar or turbulent. [2 marks] Assume the 1/7th power law is valid in this case, calculate the Fanning friction factor (C) of the water flow in the pipework system using Equation Q6 given below: -4log10 [0.27e + (17)] (Eq. Q6) C where e and D are the surface roughness and the pipe diameter, respectively. [4 marks] iii) Considering viscous and minor losses along the pipework system, using the method of equivalent length Le, calculate the total head that the water pump must generate to deliver water from the ground-level tank to the roof-level reservoir. A list of minor loss factors for different fittings, entrance and exit conditions are provided in Table Q6 in a separate handout. [10 marks]
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Related Book For
Fundamentals of Thermal-Fluid Sciences
ISBN: 978-0078027680
5th edition
Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala
Posted Date:
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