MECH $342$ Assignment $6$: Laminar Pipe Flow

Crude oil $(=790k\frac{g}{m^3}$ and $=0\mathrm{.}1Pa*s)$ is pumped through a section of pipe up an incline as shown in the diagram below.

a$.)$ Find the head loss due to friction $(h_f).$

b$.)$ Assuming the flow is laminar, find the volume flow rate $(Q)$ and the average flow velocity $(V).$

c$.)$ What is the power required to overcome the head loss?

d$.)$ Was the assumption of laminar flow reasonable? Explain why.

e$.)$ Determine the maximum pipe diameter which will result in a laminar flow in the pipe.