Advertisement

Application of the Luikov’s Model in the Moisture Content Measurement of Solid Materials by the Drying Method

  • E. Martines-LópezEmail author
  • L. Lira-Cortés
TEMPMEKO 2016
Part of the following topical collections:
  1. TEMPMEKO 2016: Selected Papers of the 12th International Symposium on Temperature, Humidity, Moisture and Thermal Measurements in Industry and Science

Abstract

Based on the weighing of samples before and after drying, the drying in oven method is widely used to measure the moisture content in solid materials. Time and temperature are some of the most important conditions for the application of this method, which frequently are unknown and must be determined experimentally or by another method. However, it is known that experimental processes are time-consuming and require excessive amounts of energy. A less expensive and faster option is the use of mathematical models to describe the heat and moisture transfer in the drying process, where several models apply. The Luikov’s model is one of the most accepted of them since it has a wide application in the calculation of drying curves of solid materials. This model consists in a coupled system of nonlinear partial differential equations which is derived from thermodynamics principles of irreversible processes, laws of energy and mass conservation and also the diffusion of heat and mass law. The solution to the Luikov’s model for the one-dimensional case was obtained using a method proposed by Lui et al., applied to several solid materials. In this paper, the drying curves for red brick and wood are presented and compared with those obtained experimentally. Finally, the drying curves were used to determine the sample’s moisture content and the corresponding uncertainty was estimated as well.

Keywords

Capillary porous solid material Drying oven Luikov model Moisture content Uncertainty estimation 

References

  1. 1.
    J.R. Philip, D.A. De Vries, Moisture movement in porous materials under temperature gradients. Trans. Am. Geophys. Union 38, 222–232 (1957)ADSCrossRefGoogle Scholar
  2. 2.
    S. Whitaker, Simultaneous heat, mass and momentum transfer in porous media: a theory of drying. Adv. Heat Transf. 13, 119–203 (1977)CrossRefGoogle Scholar
  3. 3.
    S.J. Kowalski, C. Strumillo, Moisture transport, thermodynamics, and boundary conditions in porous materials in presence of mechanical stresses. Chem. Eng. Sci. 52, 1141–1150 (1997)CrossRefGoogle Scholar
  4. 4.
    S.J. Kowalski, Toward a thermodynamics and mechanics of drying processes. Chem. Eng. Sci. 55, 1289–1304 (2000)CrossRefGoogle Scholar
  5. 5.
    S.J. Kowalski, Thermomechanical approach to shrinking and cracking phenomena in drying. Dry. Technol. 19, 731–765 (2001)CrossRefGoogle Scholar
  6. 6.
    A.V. Luikov, On systems of differential equations for heat and mass transfer in capillary porous bodies. Int. J. Heat Mass Trans. 18, 1–14 (1975)CrossRefGoogle Scholar
  7. 7.
    N.J. Warren, A mathematical model of simultaneous heat and mass transfer in a rigid porous material during the falling rate period of drying, PhD Thesis, Department of Chemical Engineering, University of Surrey, Guildford (1983)Google Scholar
  8. 8.
    D.F. Fulford, A survey of recent Soviet research on the drying of solids. Can. J. Chem. Eng. 47, 378–391 (1969)CrossRefGoogle Scholar
  9. 9.
    J.Y. Liu, S. Cheng, Solutions of Luikov’s equations of heat and mass transfer in capillary-porous bodies. Int. J. Heat Mass Trans. 34, 1747–1754 (1991)CrossRefGoogle Scholar
  10. 10.
    G. Alvarez, J.C. Medina, L. Lira, Aplicaciones de las soluciones reales y complejas de las ecuaciones de Luikov’s de transferencia de materia y energía. Inf. Tecnol. 12, 61–68 (2001)Google Scholar
  11. 11.
    E. Martines-López, L. Lira-Cortés, evaluación de los factores de influencia en el modelo de Luikov’s durante el secado de ladrillo, Ingeniería, Investigación y Tecnología, volumen XVII (número1), pp. 35–44 (2016)Google Scholar
  12. 12.
    J.D. Hoffman, Numerical Methods for Engineers and Scientists (McGraw Hill, New York, 1992), pp. 127–186zbMATHGoogle Scholar
  13. 13.
    F.B. Hildebrand, Introduction to numerical analysis, 2nd edn. (Dover Publications, Mineola, 1974)zbMATHGoogle Scholar
  14. 14.
    P.D. Lobo, M.D. Mikhailov, M.N. Ozisik, On the complex Eigen-Values of Luikov’s System of equations. Dry. Technol. 5, 273–286 (1987)CrossRefGoogle Scholar
  15. 15.
    K.K. Hansen, Sorption isotherms-A catalog, Technical Report 162/86, The Technical University of Denmark (1986)Google Scholar
  16. 16.
    E. Martines-Lopez, L. Lira- Cortes, Analysis of Luikov’s model in the process of heat and moisture transfer inside of a slab of ceramic, Proceedings of Thermophysics 2012, Podkylava, Eslovaquia, pp. 123–133 (2012)Google Scholar
  17. 17.
    JCGM100:2008, GUM 1995 with minor corrections, Evaluation of measurement data- Guide to the expression of uncertainty in measurement, first edition September 2008, ©JCGM2008Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Centro Nacional de MetrologíaEl MarquésMéxico

Personalised recommendations