ME 353-Computational HW Part 2 Friction factor, f, for steady, incompressible, fully-developed and non-laminar pipe flows can be read from the Moody chart using the Reynolds number, Re, and relative roughness, /D. In fact, the Moody chart is a graphical representation of the Colebrook formula. (a) Water is flowing through a galvanized iron tube at 30C. The tube has 30 m of length and 40 cm of diameter. Using Colebrook formula to calculate f with 101 relative error, draw a graph to indicate the effect of the water mass flowrate on the major head loss if the mass flowrate varies from 15 kg/s to 30 kg/s. Use the tables in the textbook to find required values. (The mass flowrate and the major head loss are placed on the x and y axis, respectively.) Major head loss is calculated by the Darcy-Weisbach equation as follows: h major f 1 V2 D 2g (b) An approximate form is explicitly established by Haaland to use instead of Colebrook formula as follows: 1.11 = -1.8 log F /D 3.7 6.9 + Re Draw the graph for the same conditions in Part (a) using the approximate form above. (c) Draw a graph of percent error (%) of the approximate form in Part (b) with respect to the results in Part (a). (The mass flowrate and the error are placed on the x and y axis, respectively.)