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Hybrid Methods in Engineering

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ISSN Печать: 1099-2391

ISSN Онлайн: 2641-7359

EXACT SOLUTION OF LUIKOV'S EQUATIONS FOR DRYING IN CAPILLARY POROUS MEDIA

Том 1, Выпуск 4, 1999, 24 pages
DOI: 10.1615/HybMethEng.v1.i4.40
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Краткое описание

The classical formulation of drying in capillary porous media, based on Luikov's theory, is solved exactly through integral transformation. The associated eigenvalue problem, which has been recently found to yield complex roots that were not accounted for within most previous works, is accurately and automatically treated through the generalized integral transform technique (GITT). This approach allows for a definitive establishment of the eigenvalues spectra, including any number of complex eigenvalues, which appear for certain combinations of the governing parameters in the partial differential formulation. Representative examples are selected and the convergence characteristics of the exact solution are illustrated.

ЦИТИРОВАНО В
  1. Dantas L.B., Orlande H.R.B., Cotta R.M., Lobo P.D.C., Parameter estimation in moist capillary porous media by using temperature measurements, in Inverse Problems in Engineering Mechanics II, 2000. Crossref

  2. Dantas L.B., Orlande H.R.B., Cotta R.M., An inverse problem of parameter estimation for heat and mass transfer in capillary porous media, International Journal of Heat and Mass Transfer, 46, 9, 2003. Crossref

  3. Sphaier Leandro A., Su Jian, Cotta Renato M., Macroscopic Heat Conduction Formulation, in Handbook of Thermal Science and Engineering, 2017. Crossref

  4. Cotta Renato M., Lisboa Kleber M., Zotin José Luiz Z., Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media, Advances in Water Resources, 142, 2020. Crossref

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