A water pump is used to pump water from one large reservoir to another large reservoir that is at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure, as sketched in Fig. P1443. The dimensions and minor loss coefficients are provided in the figure. The pumps performance is approximated by the expression Havailable 5 H0 2 aV . 2 , where shutoff head H0 5 24.4 m of water column, coefficient a 5 0.0678 m/Lpm2 , available pump head Havailable is in units of meters of water column, and capacity V . is in units of liters per minute (Lpm). Estimate the capacity delivered by the pump. z2 z1 = 7.85 m (elevation difference) D = 2.03 cm (pipe diameter) KL, entrance = 0.50 (pipe entrance) KL, valve = 17.5 (valve) KL, elbow = 0.92 (each elbowthere are 5) KL, exit = 1.05 (pipe exit) L = 176.5 m (total pipe length) e = 0.25 mm (pipe roughness)

ENGR 232 Dynamic Engineering Systems Lecture 2 Dr. Michael Ryan This Lecture • Two simple models: object with drag, mice and owls – Solution to D.E. Via separation of variables • Separable differential equations – Analytic Solutions – Closed form – Implicit form » Domain of...