An inverse problem resolution via piecewise linear underestimation

Authors

  • Javier Hernández Benítez Universidad Centroccidental Lisandro Alvarado, Venezuela
  • José Meza Universidad Centroccidental Lisandro Alvarado, Venezuela

Keywords:

Inverse problems, global optimization, piecewise linear underestimation, linear programming

Abstract

In reactor design phase bubble column type (CBT) is required to have the distribution of solids within the reactor. This distribution satisfies an ordinary diferential equation (ODE) of order two, with boundary conditions that was developed by D. R. Cova, followed by D. N. Smith and J. A. Ruether. Some elements of this equation are given by correlations that depend on certain parameters that are unknown but may be obtained from experimental data. The methodology used to determine these parameters is the subpiecewise linear underestimation developed by O. L. Mangasarian, J. B. Rosen, M. E. Thompson.

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Author Biographies

Javier Hernández Benítez, Universidad Centroccidental Lisandro Alvarado, Venezuela

Decanato de Ciencis y Tecnología, Departamento de Matemática

José Meza, Universidad Centroccidental Lisandro Alvarado, Venezuela

Decanato de ciencias y Tecnología, Departamento de Investigación de Operaciones y Estadística

References

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D. R . Cova, (1996) Catalyst suspension in gas-agitated tubular reactor, Ind. Eng. Chem. Proc. Des. Dev. 5, no. 1, 20-25.
J. Hernández, (1997) Métodos numéricos en el modelado de columnas de burbujeo trifásicas, Masters thesis, Universidad Simón Bolívar.
G. A. Hughmark, (1967) Holdup and mass transfering bubble columns, Ind. Eng. Chem. Proc. Des. Dev. 6, 218-220.
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O. L. Mangasarian, J. B. Rosen, and M. E. Thompson, (2004) Global optimization via piecewise-linear underestimation. Journal of Global Optimization 32, 1-9.
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Published

2012-12-10

How to Cite

[1]
J. Hernández Benítez and J. Meza, “An inverse problem resolution via piecewise linear underestimation”, Publ.Cienc.Tecnol, vol. 6, no. 2, pp. 81-92, Dec. 2012.

Issue

Section

Research Article