J. Shimizu et al., FINITE-ELEMENT METHOD ANALYSIS OF 3-DIMENSIONAL CAKE GROWTH DURING SLIP CASTING, Nippon Seramikkusu Kyokai gakujutsu ronbunshi, 105(10), 1997, pp. 891-896
Slip casting behavior of a cylindrical body was analyzed by FEM (finit
e element method). Based on the assumption that the cake is uniform an
d incompressible, Laplace equation for liquid pressure can be derived.
Cake growth per unit time was calculated by a sequential combination
of the Laplace equation, Darcy's law and mass balances, The profile of
solid front (the interface between cake and slurry) changed with time
from a cylindrical curve to a parabolic one. This three dimensional p
rofile can be attributed to the interaction of filtration to the botto
m and side-wall directions in the cylindrical mold. In the early stage
of slip casting, the results of numerical analysis were in reasonable
coincidence with the profiles experimentally obtained, It was shown t
hat FEM simulation is valuable for prediction of three-dimensional cak
e growth which cannot be expressed by one-dimensional analytical appro
aches.