Paul realizes that the pump being used in Prob. 1439E is not well-matched for this

Chapter 14, Problem 14-42E

(choose chapter or problem)

Paul realizes that the pump being used in Prob. 1439E is not well-matched for this application, since its shutoff head (125 ft) is much larger than its required net head (less than 30 ft), and its capacity is fairly low. In other words, this pump is designed for high-head, low-capacity applications, whereas the application at hand is fairly low-head, and a higher capacity is desired. Paul tries to convince his supervisor that a less expensive pump, with lower shutoff head but higher free delivery, would result in a significantly increased flow rate between the two reservoirs. Paul looks through some online brochures, and finds a pump with the performance data shown in Table P1442E. His supervisor asks him to predict the volume flow rate between the two reservoirs if the existing pump were replaced with the new pump. (a) Perform a least-squares curve fit (regression analysis) of Havailable versus V . 2 , and calculate the best-fit values of coefficients H0 and a that translate the tabulated data of Table P1442E into the parabolic expression Havailable 5 H0 2 aV . 2 . Plot the data points as symbols and the curve fit as a line for comparison. (b) Estimate the operating volume flow rate of the new pump if it were to replace the existing pump, all else being equal. Compare to the result of Prob. 1439E and discuss. Is Paul correct? (c) Generate a plot of required net head and available net head as functions of volume flow rate and indicate the operating point on the plot.