Abstract
The first stage of wetting of porous media and sintering of powders is characterized by the condition that the wetted contact regions between the constituent particles do not overlap, thus reducing the global problem to a set of independent local problems. The local problem can often be approximated by the wetting and/or sintering of overlapping spheres of different sizes. The last problem has axial symmetry and can conveniently be modeled as the wetting of solid cores by a local mobile pool. We have developed a wetting algorithm which determines the shape of the contacts, assuming the separability of the time scales between the local equilibration of neck shapes between the particles (fast) and the supply of liquid material by various diffusive processes (slow). The algorithm minimizes the free energy of the system, subject to the constraint of a fixed liquid volume. The problem may be naturally divided into several cases, and we present efficient numerical procedures for calculating neck shapes for each case.
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