For the simple pipe networks shown in Figure P14 -7, determine the pressures at nodes 1, 2, and 3 and the volumetric flow rates through the branches. Assume the pressure at node 4 is zero. In network

(a) Let Q = 1 m3 / s. Let the resistances be, R1 = 1, R2 = 2, R3 = 3, R4 = 4, and R5 = 5 all in units of N-s / m5. In network

(b) Let Q = 1000 in3 /s and the resistances be R1 = 10, R2 = 20, R3 = 30, R4 = 40, and R5 = 50 all in units of lb-s/in.5

Figure P14-7

(a)

(b)

94 P3 P2 R. a5 Rs 2 R2 R1 4 P4 P. Rs R4 R3 95 P2 9 R1 92 R2