On a Powder Consolidation Problem
NORTH CAROLINA STATE UNIV AT RALEIGH DEPT OF MATHEMATICS
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The problem of the consolidation of an aerated fine powder under gravity is considered. The industrial relevance of the problem is discussed and a mathematical model is introduced. The mathematical structure is that of a coupled system for three unknowns pressure, stress and height of the powder in the axisymmetric bunker containing it. The system itself consists of a parabolic PDE, an ODE and an integral equation determining a free boundary corresponding to the height of the powder. Existence and uniqueness of a solution is established. A numerical method based on a formulation of the semidiscretized problem as an index 1 DAE is proposed and implemented. The feasibility of the approach is illustrated by computational results.
- Miscellaneous Materials
- Numerical Mathematics