p], which consolidates the cake if it exceeds the compressive yield stress, and rest as fluid stress [P.
Consequently, Equation (5) underestimates the fluid stress at the start of stage 2, which in reality should be equal to the applied pressure.
c] at the junction of stage 1 and stage 2 and fluid stress in filter cake equals the applied pressure at start of stage 2.
We assume in our model of stage 1 that Carman-Kozeny type filtration prevails, the applied pressure is carried wholly as fluid stress and, in order to satisfy the boundary conditions, the filter cake has a uniform volume fraction of solids [[phi].
We assume that the applied pressure is distributed over fluid stress as in Equation (5) where, for reasons discussed above, [[phi].