On a powder consolidation problem (Q2719111)
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scientific article; zbMATH DE number 1608775
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a powder consolidation problem |
scientific article; zbMATH DE number 1608775 |
Statements
21 June 2001
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semidiscretization in space
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multiphase
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index 1 DAE
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integral equation
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0.87216383
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0.8669904
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0.8490799
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0.8357065
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0.83079284
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0.82672375
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0.8255805
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On a powder consolidation problem (English)
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The problem of the consolidation of an aerated fine powder under gravity is investigated in this paper. An appropriate mathematical model is proposed. This model consists of a system of parabolic partial differential equations, an ordinary differential equation and an integral equation determining a free boundary corresponding to the height of powder. The solution of this system has three unknowns: pressure, stress and height of powder in the axisymmetric bunker containing the powder. Existence and uniqueness of a solution is proved. A numerical method using semidiscretization in space and then a semidiscretized problem as an index 1 DAE is presented. Efficiency and the feasibility of proposed numerical method is illustrated and discussed on some computational results.
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