Question: For the problem ahead, assuming that the pump equations are in the form: hpi di- bi Qi; where hp is in feet, Q is

For the problem ahead, assuming that the pump equations are in the form: hpi di- bi Qi; where hp is in feet, Q is in gpm and the coefficients a; and b; are known constants for each pump i=1, 2 or 3. Then, formulate IN YOUR OWN WORDS the steps (procedure with equations) to calculate the flow and operation point of each pump. Use the pump equations and the series/parallel condition shown ahead. NOTE: do not solve the problem numerically, only state the complete procedure to be solve, write down the necessary equations. Also, mention what will happen if a valve in the pump is closed. Three pumps are placed in the following arrangement as indicated in Fig. P4-11: Rotor Pump Goulds designation rpm dia. Fig. 11-8 3,500 8 in. 4-16 3,550 8 in. 4-16 2x3-10 2x3-13 1,750 10 in. 4-18 FIGURE P4-11 If the system characteristic is H= 120.0+ 0.0165860173, where H is in ft-lbf/lbm and Q is in gpm, find the operating point for each pump. Find the power required for each pump if the fluid density is 53.7 lbm/ft. 123
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