Drilling Engineering: Determine the transport ratio FT $($defined as $FT=1-\frac{v_a}{v_s},$ where $v_a$ is

the average fluid annular velocity$)$ for cuttings having a sphericity of $0\mathrm{.}8,$ an

average size of $0\mathrm{.}25in.$ and a density of $21\mathrm{.}6ppg.$ The mud is a non$-$Newtonian

$($power$-$law$)$ clay$/$water mixture of $9$ ppg density. The mud is pumped in a $105$

in$.$ annulus at a flowrate of $367gpm.$ The following rheological data were

measured for the mud using a rotational viscometer: