o cricket LTE 12:30 PM Hassan Almuslim 3/22/18, 12:16 PM All Media 31215 Esam, S
ID: 2029646 • Letter: O
Question
o cricket LTE 12:30 PM Hassan Almuslim 3/22/18, 12:16 PM All Media 31215 Esam, SPluid is lowing horiaoetally t 120 gpm from a 3-in diameter to I-in diameter pipe, as hown in the figure If the pressure at point 1 is 15 psi, find the pressure at point 2. The specific gravity of the fuid is 0.9 Point 1 Point 2 The oil tank for the hydraulie system is air-pressurized at 10 psig The inlet line to the pump is 10 ft below the oil level. The pump flow rane is 30 gpen Find the pressure st the inlet to the pamp (2) if there is no head loss 0 ELECTRIC M 5. In the system above, calculate the absolute minimum horsepower required to maintain 30 GPM at 100 PSL. (Consider this system as "ideal without any friction or pump efficiency losses). 4 ]Explanation / Answer
converting every number to SI unit:
flow rate=120 gpm=0.00757 m^3/s
radius at 1=r1= 3 in/2=1.5 in=0.0381 m
==>speed at 1=v1=flow rate/area
=0.00757/(pi*0.0381^2)
=1.66 m/s
radius at 2 =r2=1 in/2=0.5 in=0.0127 m
speed at 2=v2=flow rate/area
=0.00757/(pi*0.0127^2)
=14.94 m/s
pressure at 1 =P1=15 psi=103421 N/m^2
density of fluid=rho=0.9*1000 kg/m^3=900
using bernoulli’s equation:
P1+rho*g*h1+0.5*rho*v1^2=P2+rho*g*h2+0.5*rho*v2^2
as h1=h2,
P2=P1+0.5*rho*(v1^2-v2^2)
=103421+0.5*900*(1.66^2-14.94^2)
=4219.4 N/m^2
=0.612 psi
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