QUESTION FIVE

a$.$ Describe the $4$ methods to determine the viscosity of a fluid. $(12$ marks$)$

b$.$ Two large plates are $6$ mm apart and the space in$-$between in filled with a fluid. A

plate of $1$ mm thickness and $10$ cm square is pulled parallel to the planes and midway

between them with a velocity of $2\frac{m}{s}.$ Assume linear velocity profile on either side.

The force required was $0\mathrm{.}32$ N $.$ Determine the viscosity of the fluid. $(7$ marks$)$

c$.$ Show that the capillary rise in an annulus is given by $2cos\frac{}{}(r_0-r_i),$ where $r_0$ and

$r_i$ are the radii and $$ is the surface tension, $$ is the specific weight and $$ is the contact

angle. $(6$marks$)$