Oil must be transported over a distance L through a horizontal pipe at volume flow rate of Q, using a pump with power W. Find the minimum pipe diameter, D, which guarantees the exit pressure of Pe.
sigma=(pipe roughness) = 0.05 mm
pi=(pressure at the inlet of the pump) = 10 kPa gauge,
rho=(kinematic viscosity) = 4 X 10-6 m2/s
gamma=(specific weight) = 7 kN/m3
The Attempt at a Solution
W=will dictate what pump outlet pressure you can have for specified Q. L will dictate how developed the flow will be among other things, and the Overall D along with Q and viscosity will dictate the Re Number. You are able to adjust D, so for a specified Q would could have a Laminar, transient , or turbulent flow. I am assuming that since he what's us to use friction factor calculations for turbulent flow you will have to choose a Q and D that result in a Turbulent flow not laminar.
I've got an idea of where to go with this, but I am a bit stuck at the moment. Thank you for any help I may get..