A hot oil(specific gravity = 0.7) flows through a pipe of 4 cm internal diameter, at a velocity of 0.2 m/s. Determine:
i) The volumetric flow rate of the oil discharged from the pipe.
ii) The mass flow rate of the oil discharged from the pipe.
iii) If the pipe discharges the oil to a tank of 3 m^3 volume, how long does it take to fill the tank?
iv) If the force applied to the pipe inlet due to the oil flow is 20N, find the inlet pressure.
The attempt at a solution:
i) Volumetric flow rate: Q=vA
A= πr^2 --> A= π*0.02^2 = 1.257*10^-3 m^2
Q= 0.2*1.257*10^-3= 2.514*10^-4 m^3/s
ii) Mass flow rate: m=ρQ
Specific Gravity : SG=ρ(oil)/ρ(water) -> ρ(oil)=SG*ρ(water) -> ρ(oil)= 0.7*1000= 700 kg/m^3
m= 700*2.514*10^-4 = 0.18 kg/s
iv)Pressure= force/area -> P=20/1.257*10^-3 = 15910.89Pa = 16kPA
Hi, I am having tough times trying to solve this question. If You find it easy please teach me! Any help will be greatly appreciated! Because i can't seem to wrap my head around this question :(