On a Powder Consolidation Problem

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADA453937

Entities

People

  • Carl Timothy Kelley
  • Kristy A. Coffey
  • Pierre A. Gremaud
  • T. A. Royal

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundaries
  • Computations
  • Equations
  • Information Operations
  • Instructions
  • Integral Equations
  • Integrals
  • Mathematical Models
  • Mathematics
  • Military Research
  • North Carolina

Fields of Study

  • Mathematics

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