Pipe Flow

The axial velocity profile of a laminar, incompressible, and fully-developed flow in a circular pipe of radius R is given as $v_z = \frac{1}{4\mu} \frac{dp}{dz} (r^2 - R^2)$, where...

Air flows through a pipe of diameter D with an average velocity of 3 m.s⁻¹. The Darcy friction factor of the pipe is 0.02. Assume acceleration due to gravity as 10 m.s⁻². If the he...