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2. The figure below shows a tank of water (density= 1000 kg m; viscosity = 0.001 Pa s) draining into another large tank, x m lower, through a pipe. Both tanks are open to the atmosphere. The pipe diameter is 5 cm and the pipe length is 100 m. The surface roughness is equal to the first three numbers of your student ID, in micrometres (10 m). The vertical height x between the two tanks is the last two digits of your student ID, in m. For example, if your student ID is 1373522, the first three numbers are 137, and the surface roughness of your pipe is 137x10 m; the last two numbers are 22, and the height difference x is 22 m. Friction factor, If the pipe inlet is sharp-edged (K, = 0.5) and the exit is to a large tank (K, = 1.0), calculate the mass flow rate of the fluid as it drains. (Ignore any small changes in height within the two large tanks.) Use the Moody chart below to find the appropriate value of the Fanning friction factor, using an appropriate initial guess and then iterating to a final answer. Present your answers on the following page. Surface roughness:2161604m Height difference:2161604m 0.025 Lanina Sow 0.02minarition Transitions flow cone 0.018 0.015 0014 0.012 0.00 0.008 0.007 0.006 0000 0.004 0.000 00025 0.000 Ma ved st Con Woode Cat Galvanized Asphated ca se Commercial cl or wag Drewning 1-10 03-3 07-1 0.25 0.15 0.12 COIS 00015 Complete turbulence, rough p Seoth pipe THOUTE 2 LAYES 0000001 0000005 FORE x m fo.as 10.04 003 0.02 OCIS Hoo 0.006 0.000 0.004 0.002 (2001 6000 00006 0.0004 0.0002 00001 00000 000001 Relative roughne [15 marks]