Water at 180°F is to be pumped through a long schedule 40, 3-in. commercial steel pipeline. At steady-state operation, a Goulds 2 X 3-13 pump (Fig. 4-18) is operating at 180 gpm and 152 ft-lbf/lbm head. The pressure at the inlet to the pipeline is 14.7 psia. Find the pump placement required to prevent cavitation for the following:
(a) Line elevation decreases at 1 ft per 50 ft of line length.
(b) Line elevation decreases vertically, i.e., 1 ft per 1 ft of line length.
(c) Discuss the results of (a) and (b).