Metallurgical and Materials Engineering

Exam Answer Sheet

$2.$ An oil of viscosity $0\mathrm{.}03$ Pa$.$s and density $0\mathrm{.}85\frac{g}{c}m3$ is transferred from one vessel to another through a horizontal pipe. If the pressure drop along the pipe is not to exceed $140$ Pa per meter length $(P\frac{a}{m})$ to ensure a satisfactory flow and flow is always to be laminar, determine

a$)$ the maximum possible internal diameter of the pipe.

b$)$ the shear stress exerted on the tube by the oil.

c$)$ Write an equation for the variation of the local flow velocity in the radial position of the pipe.

d$)$ Using the equation in part c$,$ determine local flow velocity at the centerline