5% - eTheses Repository - University of Birmingham

and inside the core is
PJ=-|l + -±-| A 2X (5)
where A is the rotational speed of the core and Cw is the
coefficient of virtual or added mass. The force due to fluid
drag (D), outside the core is
D=B\ V, ' x
AY
.2
(6)
and inside the core is
D=B(VX+AY}\VX+AY\ (7)
where Vx and Vy are the particle velocity in the X and Y
directions respectively and
PL
where g is the gravitational acceleration and p p and p L are the
particle and liquid densities. The vorticity lift force is only
used inside the core, and is found from
(9)
where C L is the vorticity lift coefficient
A9-2