Lattice Boltzmann Modeling of the Effective Thermal Conductivity for Complex Structured Multiphase Building Materials

Abstract:

The effective thermal conductivity is an important parameter used to predict the thermal performance analysis of complex structured porous building materials. The observation of porous structure of building materials on REV (representative elementary volume) scale showed that pores can be classified into meso and macro pores. In contrast to the traditional models usually used for the (macro-meso) pore connection , a new numerical random generation macro-meso pores (RGMMP) method, based on geometrical and morphological information acquired from measurements or experimental calculations, is proposed here. Along with proposed structure generating tool RGMMP a high efficiency LBM, characterized with the energy conservation and appropriate boundary conditions at numerous interfaces in the complex system, for the solution of the governing equation is described which yields a powerful numerical tool to obtain accurate solutions. Then present model is validated with some theoretical and experimental values of effective thermal conductivity of typical building materials. The comparison of present model and experimental results shows that the proposed model agrees much better with the experimental data than the traditional theoretical models. Therefore, the present model is not limited to the described building materials but can also be used for predicting the effective thermal conductivity of any type of complex structured building materials.

• Periodical: Advanced Materials Research (Volume 1119)
• Pages: 694-699
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1119.694
• Online since: July 2015
• Authors: Mazhar Hussain, Shakeel Ahmad, Wen Quan Tao*
• Keywords: Building Materials, Effective Thermal Conductivity, Lattice Boltzmann Method, RGMMP

References

[1] T. Harmathy, Thermal properties of concrete at elevated temperatures, Journal of Materials, (1970).

[2] A. Marshall, The thermal properties of concrete, Building Science, vol. 7, pp.167-174, (1972).

[3] V. Kodur, Properties of Concrete at Elevated Temperatures, ISRN Civil Engineering, vol. 2014, p.15, (2014).

DOI: 10.1155/2014/468510

[4] N. G. Zoldners, Thermal Properties of Concrete Under Sustained Elevated Temperatures: American Concrete Institute, (1966).

[5] U. S. B. o. Reclamation, Boulder Canyon Project: Cement and concrete investigations: Bureau of Reclamation, (1949).

[6] D. Campbell-Allen and C. Thorne, The thermal conductivity of concrete, Magazine of concrete Research, vol. 15, pp.39-48, (1963).

DOI: 10.1680/macr.1963.15.43.39

[7] M. Wang and N. Pan, Numerical analyses of effective dielectric constant of multiphase microporous media, Journal of Applied Physics, vol. 101, pp. -, (2007).

DOI: 10.1063/1.2743738

[8] M. I. Khan, Factors affecting the thermal properties of concrete and applicability of its prediction models, Building and Environment, vol. 37, pp.607-614, 6/ (2002).

DOI: 10.1016/s0360-1323(01)00061-0

[9] J. Wyrwał, A. Marynowicz, and J. Świrska, Effective thermal conductivity of porous building materials – analysis and verification, Bauphysik, vol. 30, pp.431-433, (2008).

DOI: 10.1002/bapi.200810056

[10] S. Chen and G. D. Doolen, Lattice Boltzmann method for fluid flows, Annual Review of Fluid Mechanics, vol. 30, pp.329-364, (1998).

DOI: 10.1146/annurev.fluid.30.1.329

[11] L. Chen, Y. -L. He, Q. Kang, and W. -Q. Tao, Coupled numerical approach combining finite volume and lattice Boltzmann methods for multi-scale multi-physicochemical processes, Journal of Computational Physics, vol. 255, pp.83-105, (2013).

DOI: 10.1016/j.jcp.2013.07.034

[12] Y. W. Y.L. He, Q. Li., Lattice Boltzmann Method；Theory and Applications, Sience Ppress，Beijing, (2009).

[13] M. Wang, J. Wang, N. Pan, and S. Chen, Mesoscopic predictions of the effective thermal conductivity for microscale random porous media, Physical Review E, vol. 75, p.036702, (2007).

DOI: 10.1103/physreve.75.036702

[14] M. Wang, J. Wang, N. Pan, S. Chen, and J. He, Three-dimensional effect on the effective thermal conductivity of porous media, Journal of Physics D: Applied Physics, vol. 40, p.260, (2007).

DOI: 10.1088/0022-3727/40/1/024

[15] X. Chen and P. Han, A note on the solution of conjugate heat transfer problems using SIMPLE-like algorithms, International Journal of Heat and Fluid Flow, vol. 21, pp.463-467, 8/ (2000).

DOI: 10.1016/s0142-727x(00)00028-x

[16] Q. Ma, Z. Chen, J. Shi, and D. Li, Lattice Boltzmann modeling of VOC desorption and diffusion in porous materials: VOC desorption and diffusion, Building and Environment, vol. 72, pp.145-153, (2014).

DOI: 10.1016/j.buildenv.2013.11.011

[17] A. D'Orazio and S. Succi, Boundary conditions for thermal lattice Boltzmann simulations, in Computational Science—ICCS 2003, ed: Springer, 2003, pp.977-986.

DOI: 10.1007/3-540-44860-8_101