ME 493 Hydraulics: SP 2024 Project 15 m 14 m 9 m 5 9 15 m Waer Reservoir 9 m 9 m 11 m 8 m Q03 7 m 6 m Q02 √√3 m 11 m Q01 7 m 15 m Z = O Mainline Pipe A pipe network as shown in the image is used to provide water to three houses built on sloped land. To ensure sufficient water flow for simultaneous water consumptions and pressure drop in the mainline, a reservoir is added to the pipe network. Pipe lengths and junction heights are shown in the image. All pipes have a diameter of 40 mm and roughness of 0.04 mm. If each house gets the peak of 0.2 m³/min flow rate from the network (Q01 = Q02 = Q03 = 0.2 m³/min) at the minimum mainline pressure is 220 kPa, determine how much of the water consumption of these three houses comes from reservoir and how much comes from mainline pipeline. Determine the flow head and pressure (ignoring the velocity term) at each exit flow node. Assume there is no pressure drop within the mainline pipe and ignore all minor loss elements. As an initial estimate a friction factor of f = 0.02 may be considered for all pipes. Assume p= 1000 kg/m³, μ = 1.1×103 Pa.s, g = 9.8 m/s².