kg Water (Pw μω m³ = 1.8 x 10-³ Pa s) flows through the shower system shown below. The pipe has a diameter of 4 cm, and contains three 90-degree bends (KL = 0.9), a partially open gate valve (K₁ =3.1), and a shower head (K₁ = 5.0). = 1000- Water flows out of the shower head at approximately the same velocity as it enters the pipe, 1.2 m/s. The roughness of the pipe is 0.15 mm. Find the pressure (relative to atmosphere) of the water immediately before the first bend. Provide your answer in kPa. Neglect the horizontal parts of the pipe when calculating the length. h₁=1.1 m, h₂=1.8 m, and h3 =0.4 m. h3 h₂ " h₁ 3 D

3. Petrol is drained from a tank X to tank Y via pipeline A-B (see figure Q3). A pump is then used to pump the petrol from tank Y to tank Z via pipeline C-D. Pipe lengths, diameters and relative heights of the pump and tank levels are as shown in figure Q3. The density of the petrol is 760 kg/m³ and the Fanning friction factor (f) for all the pipes is 0.0075. • For pipe A-B the entrance loss at A is 0.5 • For pipe C-D the entrance loss at C is 0.5 u² • All valve losses are 0.2 each, 2g Neglect any entrance or exit head losses at the pump and all other pipeline component losses. X • The velocity in the pipe C-D cannot exceed 1.8 m/s The pump mechanical efficiency is 86% 10 m L = 50 m D = 100 mm B 00 30 m Y 5m 20 m and the exit loss at B is and the exit loss at D is D = 75 mm L = 10 m Figure Q3 D = 75 mm L = 50 m pump 2g N 10 m

Problem 5: A fluid flows by gravity down an 8-cm galvanized ironpipe. The pressures at the higher and lower locations are 120 kPaand 140 kPa, respectively. The horizontal distance between thetwo locations is 30 m, and the pipe has a slope of 1-m rise per10 m of run (horizontal distance). For a fluid with a kinematicviscosity of 10-6 m2/s and a density of 900 kg/m3, determinethe flow rate (in m3/s).

0.95 m3/sec flow rate of water flows downwards in a pipe as shown in figure. If the pressures at points 1 and 2 are to be equal. Determine the diameter of the pipe at point 2.The velocity at point 1 is 6.5 m/sec and the diameter of pipe at point 1 is 330 mm. The height between point 1 and point 2 is 2.8 m?

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The pressure after the pump in a 6-inch inside smooth pipe conducting water is 20 psia. The water is discharged at an open tank 100ft. from the pump. Calculate the rate of discharge of water in ft3/s.   ANSWER SHOULD BE (3.579ft^3/s). PROVE.

The figure below shows a turbine with an inlet pipe and a draft tube. If the efficiency of the turbine is only 80 percent and the discharge of the water is 1000 litres per second. Calculate: (a) the power developed by the turbine: (b) The reading of the gauge G:

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2500kW power is generated shown in the Figure with a water flowrate of 20 m3/s. The head loss for the entire flow is 2.5m.  (a) Find the pressure difference P1 - P2 across the turbine. (b) Find h You can neglect the head loss between point 1 and 2.