Oil $(s=0\mathrm{.}94)$ with viscosity $0\mathrm{.}0096N.\frac{s}{m^2}$ flows in a $90mm$ diameter welded steel pipe $($Table $1)$

at $7\mathrm{.}2\frac{l}{s}.$ What is the head loss per meter of pipe due to friction?

Table $1$: Values of absolute roughness $e$ for new commercial pipes The hypothetical velocity distribution in a horizontal, rectangular, open channel is v $=0\mathrm{.}3$y m$/$s$,$

where v is the velocity at a distance y m above the bottom of the channel. If the vertical depth of flow

is $2$ m and the width of the channel is $4$ m$,$ what are the maximum velocity, the discharge, and the

mean velocity?When $0\mathrm{.}3$ m$3/$s water flows through a $150$ mm constriction in a $300$ mm horizontal pipeline, the

pressure at a point in the pipe is $345$ kP a$,$ and the head loss between this point and the constriction is

$3$ m$.$ Calculate the pressure in the constriction