Modeling of Annual Heat and Moisture Diffusion in a Multilayer Wall

  • G. P. Vasilyev
  • V. A. Lichman
  • N. V. PeskovEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9045)


We present an 1D numerical model of heat, steam, and water transfer across a wall consisting of several layers of different materials. The model is the system of coupled diffusion equations for wall temperature; vapor pressure, and water concentration in material pores, with account of vapor condensation and water evaporation. The system of nonlinear PDEs is solved numerically using the finite difference method. The main objective of modeling is simulation of long-term behavior of building wall moisture distribution under influence of seasonal variations in atmospheric air temperature and humidity.


Heat Insulator Moisture Diffusion Vapor Condensation Building Wall Mineral Wool 
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This work was financially supported by the Ministry of Science and Education of Russian Federation, contract RFMEFI57614X0034.


  1. 1.
    Kohonen, R.: Transient analysis of the thermal and moisture physical behaviors of building constructions. Build. Environ. 19, 1–11 (1984)CrossRefGoogle Scholar
  2. 2.
    Ogniewicz, Y., Tien, C.E.: Analysis of condensation in porous insulation. Int. J. Heat Mass Transf. 24, 421–429 (1986)CrossRefGoogle Scholar
  3. 3.
    Motakef, S., El-Masri, M.A.: Simultaneous heat and mass transfer with phase change in a porous slab. Int. J. Heat Mass Transf. 29, 1503–1512 (1986)CrossRefGoogle Scholar
  4. 4.
    Shapiro, A.P., Motakef, S.: Unsteady heat and mass transfer with phase change in a porous slab: analytical solutions and experimental results. Int. J. Heat Mass Transf. 33, 163–173 (1990)CrossRefGoogle Scholar
  5. 5.
    Künzel, H.M., Kiessl, K.: Calculation of heat and moisture transfer in exposed building components. Int. J. Heat Mass Transf. 40, 159–617 (1997)CrossRefGoogle Scholar
  6. 6.
    Häupl, P., Grunewald, J., Fechner, H., Stopp, H.: Coupled heat air and moisture transfer in building structures. lnt. J. Heat Mass Transf. 40, 1633–1642 (1997)zbMATHCrossRefGoogle Scholar
  7. 7.
    Budaiwi, I., El-Diasty, R., Abdou, A.: Modeling of moisture and thermal transient behaviour of multilayer non-cavity walls. Build. Environ. 34, 537–551 (1999)CrossRefGoogle Scholar
  8. 8.
    Steeman, M., Janssens, A., Steeman, H.J., Van Belleghem, M., De Paepe, M.: On coupling 1D non-isothermal heat and mass transfer in porous materials with a multizone building energy simulation model. Build. Environ. 45, 865–877 (2010)CrossRefGoogle Scholar
  9. 9.
    Konga, F., Zhangb, Q.: Effect of heat and mass coupled transfer combined with freezing process on building exterior envelope. Energy Build. 62, 486–495 (2013)CrossRefGoogle Scholar
  10. 10.
    Fokin, K.F.: Constructional Thermo-technique of the Building. Moscow, Stroiizdat (1973). (in Russian)Google Scholar
  11. 11.
    Vasilyev, G.P.: What can prevent us from making Moscow an energy-efficient city? Therm. Eng. 58, 682–690 (2011)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • G. P. Vasilyev
    • 1
  • V. A. Lichman
    • 1
  • N. V. Peskov
    • 1
    • 2
    Email author
  1. 1.Insolar Group of CompaniesMoscowRussia
  2. 2.Faculty of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia

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