Th e house shown is fl ooded by a broken waterline. Th e owners siphon water out of the basement window and down the hill, with one hose, of length L, and thus an elevation diff erence of h to drive...

Th e house shown is fl ooded by a broken waterline. Th e owners siphon water out of the basement window and down the hill, with one hose, of length L, and thus an elevation diff erence of h to drive the siphon. Water drains from the siphon, but too slowly for the desperate home owners. Th ey reason that with a larger head diff erence, they can generate more fl ow. So they get another hose, same length as the fi rst, and connect the 2 hoses for total length 2L. Th e backyard has a constant slope, so that a hose length of 2L correlates to a head diff erence of 2h

a. Assume no head loss, and calculate whether the fl ow rate doubles when the hose length is doubled from Case 1 (length L and height h) to Case 2 (length 2L and height 2h). b. Assume hL = 0.025(L/D)(V2 /2g), and calculate the fl ow rate for Cases 1 and 2, where D = 1 in., L = 50 ft ., and h = 20 ft . How much of an improvement in fl ow rate is accomplished in Case 2 as compared to Case 1? c. Both the husband and wife of this couple took fl uid mechanics in college. Th ey review with new appreciation the energy equation and the form of the head loss term and realize that they should use a larger diameter hose.