The values of c 1, c 2, c 3, and c 4 are known. Electricity costs $c 4 per kWh and the pump has anĮfficiency η. The installed cost of the pipeline is $c 1 D m L (where m = 1.4) and that of the pumping station is $(c 2 + c 3 P ) both these costs are amortized over n years. M 3 /s of crude oil of density ρ kg/m 3through a long-distance horizontal pipeline of A pump delivers a power P kW to transfer Q Also, if the pump and its motor have a combinedĮfficiency of 75%, what power ( HP) is needed to drive the pump?ġ5. Take only a single estimate of the Fanning friction factor-don’t The effective distances (including all fittings)īetween points 2 and 3 are 1,000 ft and 2,000 ft for the shorter and longer paths, If the pump exit pressure-which is also the pressure p 2 at the dividing pointĢ-is 85 psig, determine the total flow rate coming from both branches throughĪ fire hydrant at point 3, whose elevation is 100 ft above the pump exit, if theĭelivery pressure is p 3 = 20 psig. Points 1 and 2 are essentially at the same elevation, and losses before At the pump exit, the pipe immediately divides into twoīranches. Water into a ring main that services the fire hydrants for a chemical plant. P3.14 shows a pump that takes its suction from a pond and discharges P3.14 Ring main for feeding fire hydrants.įig. Here, the symbols have their usual meanings, but the following units have been (c) The Reynolds number Re in the pipeline.ġ4. (b) The pressure increase across the pump, Δp (psi). If the viscosity of the water is 1 cP, determine: Pressure increase Δp (psi) across the pump to the flow rate Q (ft 3/s) through it: The performance curve for the pump has been determined, and relates the P 2 − p 3 = 10.83 + 10, 265f F Q 2, in which f F is the Fanning friction factor. Given closely in terms of the flow rate Q (ft 3/s) by: Prove that the pressure drop (psi) in the pipeline between points 2 and 3 is Used for pumping water from one tank to another through a 1,000 ft (including On the order of 1% to F for the surface and drill pipe, and may therefore beįinally, if the pump is running at 79% overall efficiency, compute the requiredġ3. That the frictional dissipation F for the annular space is likely to contribute only Then, assuming for the moment that all friction factors are the same, show (b) The mean velocities (ft/s) in the surface piping, the drill pipe, and the annular (a) The flow rate Q in ft 3/s throughout the system. Table P3.12 Data for pipes (All Schedule 80) Steel piping has a roughness ε = 0.00015 ft. The surface piping hasĪ total equivalent length (including all valves, elbows, etc.) of 1,000 ft. At theīottom, the mud jets out through the drill bit and recirculates back through theĪnnular space to F, where it is piped back to the tank T. The drill pipe DE, of depth 10,000 ft, is surrounded by the casing C. The mud is a Newtonian liquid with μ = 5.0ĬP at the average flowing temperature of 70 ◦F, and its density, due to weighingĪgents and other additives, is ρ = 67 lb m /ft 3. P3.12 illustrates the mud-circulation system on an oil-well drilling rig.ĭrilling mud from a mixing tank T flows to the inlet of the pump P, whichĭis-charges through BD to the inside of the drill pipe DE. P3.12 Drilling mud circulation system.įig. Diame-ters d 1 and d 2 is given by D e = d 1 − d 2.Į Fig.
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