Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지
DOI QR코드

DOI QR Code

SOLVABILITY OF LUIKOV'S SYSTEM OF HEAT AND MASS DIFFUSION IN ONE-DIMENSIONAL CASE

  • Bougoffa, Lazhar (Department of Mathematics, Faculty of Science, Al-Imam University) ;
  • Al-Jeaid, Hind K. (Department of Mathematics, Umm Al-Qura University)
  • Received : 2009.11.23
  • Accepted : 2010.06.30
  • Published : 2011.01.30
Download PDF
⟨ Previous Next ⟩

Abstract

This paper studies a boundary value problem for a linear coupled Luikov's system of heat and mass diffusion in one-dimensional case. Using an a priori estimate, we prove the uniqueness of the solution. Also, some traveling wave solutions and explicit solutions are obtained by using the transformation ${\xi}$ = x - ct and separation method respectively.

Keywords

References

  1. A. V. Luikov, Heat and Mass transfer in capillary-porous bodies, Chap. 6. Pergamon Press, Oxford, 1966.
  2. M. D. Mikhailov and M. N. Ozisik, Unified analysis and solutions of heat and mass diffusion, Chap. 10. Wiley, New York , 1994.
  3. A. V. Luikov and Y. A. Mikhailov and M. N. Ozisik, Thery of Energy and mass transfer, Chaps. 1 and 2. Pergamon Press, Oxford , 1965.
  4. Jen Y. liu and Shun Cheng, Solutions of Luikov equations of heat and mass transfer in capillary-porous bodies, Int. J. Heat Mass Transfer 34(1991), 1747-1754. https://doi.org/10.1016/0017-9310(91)90150-D
  5. H. R. Thomas, R. W. lewis and K. Morgan, An application of the finite element method to the drying of timber, Wood Fiber 11(1980), 237-243.
  6. R. Keylwerth, The variation of the temperature of wood during the drying of veneers and sawn wood, Holz roh-Wekstoff 10(1952), 87-91. https://doi.org/10.1007/BF02608838