Pipe (Dynamic Fluids) A pipe with a diameter of D1 = 10 cm rises vertically a he
ID: 1612235 • Letter: P
Question
Pipe (Dynamic Fluids) A pipe with a diameter of D1 = 10 cm rises vertically a height H = 4.8 m and expands to a pipe of D2 = 28 cm in diameter. The flow rate of the fluid through the pipe is 8×102 cubic meters per second. The pressure in the lower end of the pipe is 1.2×105 Pascals. The fluid has a density of 1200 kg/m3 ..
1. Find the velocity of the fluid in the lower section of the pipe.
v1=__ m^s
2. Find the difference in hydrostatic pressure from the high section to the low section.
p_H=__ Pascals
3. Find the pressure in the upper section of the pipe.
What is the weight of the fluid that passes through the pipe in 15 minutes ?
P2 = __ Pascals D H D1 2Explanation / Answer
1) flow rate =Area*Velocity
8*10^-2 =pi*0.1*0.1*v
v2=2.55 m/s
v1=(8/pi)*(1/2.82)=0.325
2)P1 + 0.5pv12+pgH=P2 + 0.5pv22 + pg(0)
P1-P2=0.5*1200*(2.552-0.3252)-1200*9.8*4.8= -52609.875 Pa
3)P1=67390.125 Pa pressure in upper section
weight of fluid passing in15 minutes=p*Q*t=1200*8*10^-2 *15*60=86400 N