viscous fluid flows in a $0\mathrm{.}10-$m$-$diameter pipe such that its velocity measured $0\mathrm{.}012$ m

away from the pipe wall is $0\mathrm{.}8$ m$/$s$.$

$($a$)$ If the flow is laminar, determine the centerline velocity and the flowrate.

$($b$)$ Assuming the centerline velocity remains the same, determine the velocity $0\mathrm{.}012$ m away

from the wall of the flow is turbulent and described by the equation:

$[$Answer: $1\mathrm{.}8\_$ m$/$s and $7\mathrm{.}4\_$ x $10-3$ m $3$

$/$s; $1\mathrm{.}5\_$ m$/$s