The bathroom plumbing of a building consists of 0.015 m diameter copper pipes with threaded connectors...

  

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The bathroom plumbing of a building consists of 0.015 m diameter copper pipes with threaded connectors as shown in the figure below. If the gauge pressure at section 1 of the piping system is 200 kPa during a shower and the toilet tank is full (no flow in that branch), determine (a) the head loss from section 1 of the pipe to the outlet of shower head (b) the equivalent length for all the fittings if the friction factor is 0.02 (c) the average velocity of the flow (d) the flow rate of water through the shower head (e) the Reynolds number. Take the loss coefficients of the shower head and the reservoir to be 12 and 14, respectively. The density and dynamic viscosity of water at 20°C are p = 1,000 kg/m³ and µ = 1.00 x 10-³ kg/m.s. The pipe's average roughness height & = 1.5 x 10-6 m. The reservoir is opened to the atmosphere and that the flow is steady and incompressible. Take pressure at point 2 (shower head exit) to be atmospheric and the velocity to be equal to the pipe flow velocity since it is a small shower head. [Ans: (a) 18.4 m (b) 18.53 m (c) 3.03 m/s (d) 0.00054 m³/s (e) 45,450] (Not to scale) Water 5m Toilet tank with float KL = 14 Length 1 m KL= 2- 3 Full KL = 0.9 Elbow KL= 0.9 KL= 10 4 m 2m Small Shower head KL=12 Globe valve, fully open, KL = 10 Elbow KL=0.9 The bathroom plumbing of a building consists of 0.015 m diameter copper pipes with threaded connectors as shown in the figure below. If the gauge pressure at section 1 of the piping system is 200 kPa during a shower and the toilet tank is full (no flow in that branch), determine (a) the head loss from section 1 of the pipe to the outlet of shower head (b) the equivalent length for all the fittings if the friction factor is 0.02 (c) the average velocity of the flow (d) the flow rate of water through the shower head (e) the Reynolds number. Take the loss coefficients of the shower head and the reservoir to be 12 and 14, respectively. The density and dynamic viscosity of water at 20°C are p = 1,000 kg/m³ and µ = 1.00 x 10-³ kg/m.s. The pipe's average roughness height & = 1.5 x 10-6 m. The reservoir is opened to the atmosphere and that the flow is steady and incompressible. Take pressure at point 2 (shower head exit) to be atmospheric and the velocity to be equal to the pipe flow velocity since it is a small shower head. [Ans: (a) 18.4 m (b) 18.53 m (c) 3.03 m/s (d) 0.00054 m³/s (e) 45,450] (Not to scale) Water 5m Toilet tank with float KL = 14 Length 1 m KL= 2- 3 Full KL = 0.9 Elbow KL= 0.9 KL= 10 4 m 2m Small Shower head KL=12 Globe valve, fully open, KL = 10 Elbow KL=0.9