CONE 312: Mechanical and Electrical Principles in Construction Fluids Quiz #1 (p

Question

CONE 312: Mechanical and Electrical Principles in Construction Fluids Quiz #1 (problem 4 redo) 4. Water flows steadily through an 200mm diameter cast iron pipe at 0.03 m/s. See figure below but the pipe rises 3m via two threaded 45° elbows. 1.5m before the first elbow, and 1.5m after the last elbow are fully open rotary valves. The upstream pressure is 550 kPa. Determine the pressure head, in meters, just after the last rotary valve. o Extra Credit: Convert the pressure head to kPa. 1.5m RV 3m RV 1.5m

Explanation / Answer

4. given water flows through pipe of diameter d = 200 mm

VOlume flow rate, V = 0.03 m^3/s

Pressure just ahead of Rotatory valve = P

now

let pressure l;oss due to length of the pipe be dP

then

P + dP + rho*g*h = 550 kPa

h = 3m

rho = 1000 kg/m^3

now

length of pipe = l = 3 + 4.5 = 7.5 m

now

dP = 16*pi*n*l*V/pi^2*d^4

n = dynamic viscosity of water = 8.9*10^-4 Pa s

dP = 16*8.9*10^-4*7.5*0.03/pi*0.2^4

dP = 0.6374155470 Pa

hence

P = 520.56936 kPa

hence pressure just near rotatory valve at the bottom is P = 520.56936258 kPa

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