Finite-Element Determination of the Equivalent Thermal Conductivity of Hollow Blocks Masonry Wall

  • Houda FriaaEmail author
  • Myriam Laroussi Hellara
  • Abdelwaheb Dogui
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


In the light of the energy crisis, energy saving has become an important topic by every country over the world. Energy consumption of buildings usually takes up to 30–40% of the human’s livelihood energy consumption. Hence, the determination of their thermal properties represents an essential task for energy computation. In this paper, a numerical approach is used in order to compute the effective thermal properties of an heterogeneous masonry structure. The structure to be studied is formed by hollow blocks with cavities filled by air, joined periodically with head and bed joints. Those hollow blocks are broadly used due to the good thermal and noise insulation. The thermal conductivities of the solid part of the hollow blocks and of the mortar are the main material input parameters. Moreover, the convection and radiation are taken into account in the cavities. The effective equivalent thermal conductivity tensor is then determined and the effect of radiation and convection is studied.


Finite element Hollow block Conduction Convection Radiation Equivalent thermal conductivity tensor 


  1. 1.
    Alghamdi AA, Alharthi HA (2017) Multiscale 3D finite-element modelling of the thermal conductivity of clay brick walls. Constr Build Mater 157:1–9. Scholar
  2. 2.
    Bouchair A (2008) Steady state theoretical model of fired clay hollow bricks for enhanced external wall thermal insulation. Build Environ 43:1603–1618. Scholar
  3. 3.
    del Coz Díaz JJ, Álvarez-Rabanal FP, Gencel O et al (2014) Hygrothermal study of lightweight concrete hollow bricks: a new proposed experimental-numerical method. Energy Build 70:194–206. Scholar
  4. 4.
    del Coz Díaz JJ, García Nieto PJ, Betegón Biempica C, Prendes Gero MB (2007) Analysis and optimization of the heat-insulating light concrete hollow brick walls design by the finite element method. Appl Therm Eng 27:1445–1456. Scholar
  5. 5.
    del Coz Díaz JJ, Niet PJG, Sanchez JDHAS (2009) Thermal design optimization of lightweight concrete blocks for internal one-way spanning slabs floors by FEM. Energy Build 41:1276–1287. Scholar
  6. 6.
    del Coz Diaz JJ, Nieto PJG, Rodriguez M, Martinez-Luengas AL (2006) Non-linear thermal analysis of light concrete hollow brick walls by the finite element method and experimental validation. Appl Therm Eng 26:777–786. Scholar
  7. 7.
    Keelson H (2018) Fire resistance quantification of non-loadbearing masonry walls-numerical study. Department of Civil and Environmental Engineering Carleton University Ottawa, OntarioCrossRefGoogle Scholar
  8. 8.
    Kočí J, Maděra J, Černý R (2015) A fast computational approach for the determination of thermal properties of hollow bricks in energy-related calculations. Energy 83:749–755. Scholar
  9. 9.
    Kus H, Özkan E, Göcer Ö, Edis E (2013) Hot box measurements of pumice aggregate concrete hollow block walls. Constr Build Mater 38:837–845. Scholar
  10. 10.
    Li LP, Wu ZG, Li ZY et al (2008) Numerical thermal optimization of the configuration of multi-holed clay bricks used for constructing building walls by the finite volume method. Int J Heat Mass Transf 51:3669–3682. Scholar
  11. 11.
    Tang DL, Li LP, Song CF et al (2015) Numerical thermal analysis of applying insulation material to holes in hollow brick walls by the finite-volume method. Numer Heat Transf Part A 37–41.
  12. 12.
    Zhang Y, Du K, He J et al (2014) Impact factors analysis on the thermal performance of hollow block wall. Energy Build 75:330–341. Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Houda Friaa
    • 1
    Email author
  • Myriam Laroussi Hellara
    • 1
  • Abdelwaheb Dogui
    • 1
  1. 1.Mechanical Engineering Laboratory, LR99ES32, National Engineering School of MonastirUniversity of MonastirMonastirTunisia

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