18. Pump design (10 points) A centrifugal pump is used to send water ( = 1000kg/m3) from location A to B. It is known that PB PA = 200 kPa, hB hA = 8 m, Q = 40 m3/hr, and the fluid flow is turbulent. The characteristic curve of the pump is H = 42.3 0.0052Q2, where H is the pump head in meter, and Q is the volumetric flow rate in m3/hr.

(b) Calculate the pipe system curve (i.e., solve and in the demand curve H = +Q2 ).

(c) If PB PA changes to 180 kPa, would Q increase, decrease, or stay the same? Explain using the H-Q demand/supply curve. You may assume does not change.