11/15/20CIVL 215 Design Project2020:

Basic Instructions

You are the Chief Engineer for a prominent hydraulicengineeringconsultancy. Your client wants to pay you lots of money to design a system to deliver 1?3/?from reservoir A(z?=0.4km)to reservoir B(z?=0.6km).Between the two reservoirs the variation in elevation is given by:?∗=?+??∗+??∗2(1)where ?∗=?/∆?with ∆?=0.2km; and ?∗=??⁄, where?is the horizontal distance from A, and Lis the horizontal distance(in km)fromAand B(where L is equal to the first three digits of your studentnumber). The maximum pipe elevation occurs at ?∗=0.6.The system is to consist of commercial steel pipingwith a roughness ?= 0.2mmand a pressure rating of 200mhead. The total cost of purchasing pipe and constructing a pipeline is listed below for various pipe sizes. Pumps that can deliver 1 m3/sat 100 mhead cost$15,000,000 each (installed).Pipe diameter (m)Total Cost ($/km)0.9110,0001.0140,0001.1170,0001.2250,0001.3270,0001.4300,000Note 1: Theoretically, a pipeline may be designed to allow pressure to fall to the vapor pressure. In practice, however, water usually contains dissolved gasses that will vaporize well before the vapor pressure point is reached. Such gasses dissolve very slowly. They can move with the water in the form of large bubbles that disrupt the flow. Therefore, negative pressures shouldn’t be allowed to exceed 70% of atmospheric pressure(i.e. the minimum absolute pressure is 30% of atmospheric pressure)–use this figure in your design calculations.Assume atmospheric pressure is 98 kPa.Note 2: The pressure rating of a pipe is the maximum pressure that it can withstand.Note 3: You can bury the pipefor$1,000/km per meter of depth.