Find the flow rates in each of the elements (pipes) in the network as shown. The diameters of the pipe are 10, 10, 10, 10, 10, 10, 12, 12, 12 cm, respectively. The lengths are 100, 100, 100, 100, 100, 100, 150, 150, 150 m, respectively, The flow rates at each node out of the network are [+50, −10, −10, −10, −10, −10] lit/sec. The liquid flowing is water. The friction factor may be taken as 0.02. If the pressure head at node 1 is 15 m, expressed in terms of the height of liquid that is flowing, find the pressure heads, (H), at each of the remaining nodes and the flow rates in the pipe. [Hint: The problem can be solved by suitably modifying the MATLAB program given in Appendix G, Section G.1.]