International Scientific Journal

Authors of this Paper

External Links


In order to improve the accuracy of simulation, the lattice Boltzmann method was adopted to get the thermal conductivities of 3-D nanograins. For the wide application, the length of nanograins axis is between 1 nm to 9 nm, and the diameter ratio of gap to spherical segment is 0.2 to 0.9, 30 sets of results of numerical simulation were taken. Correlations were fitted from the results of numerical simulation by multiple linear regression analysis. Then, in the range of temperature between 294 K to 700 K, the temperature value was taken every 50 K. Then final fitted formula of thermal conductivity for nanograins was got by the binomial fitting method. The results of fitted formula agree well with the numerical results. The results show that the thermal conductivities decrease with the diameter of nanograins reducing within the 3-D spherical segment when the diameter ratio, δ, of the gap to spherical segment is fixed. The effective thermal conductivities would increase with the ratio, δ, increasing when the spherical segment diameter is fixed and the ratio is lower than 0.6. The thermal conductivities would remarkably decrease when the ratio is larger 0.6.
PAPER REVISED: 2017-10-29
PAPER ACCEPTED: 2017-10-30
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 2, PAGES [S449 - S457]
  1. Bouhrour,A., et al., Thermomagnetic Convection of a Aagnetic Aanofluid Influenced by a Magnetic Field, International Scientific Journal, 2007, 21(3), pp. 1261-1274
  2. Fallah,K ., et al., Mohammad Hossein Borghei, Simulation of Natural Convection Heat Transfer Using Nanofluid in a ConcentricAnnulus, International Scientific Journal, 2007, 21(3), pp. 1275-1286
  3. Yang, N., et al., Violation of Fourier's Law and Anomalous Heat Diffusion in Silicon Nanowires, Nano Today, 2010, 5, pp. 85-90
  4. Sellan, D.P., et al., Cross-plane Phonon Transport in Thin Films, Journal of Applied Physics, 2010, 108, pp. 113524
  5. Tian, Z.T., et al., A Molecular Dynamics Study of Effective Thermal Conductivity in Nanocomposites, International Journal of Heat and Mass Transfer, 2013, 61, pp. 577-582
  6. Randrianalisoa, J., et al., Monte Carlo Simulation of Cross-plane Thermal Conductivity of Nanostructured Porous Silicon Films, Journal of applied physics, 2008, 103(5), pp. 053502
  7. Murakaw, A., et al., An Investigation of Thermal Conductivity of Silicon as a Function of Isotope Concentration by Molecular Dynamics, Journal of Crystal Growth, 2004, 267, pp. 452-457
  8. Lu, Z.X., et al., Multi-scale Simulation of the Ttensile Properties of Fiber-reinforced Silica Aerogel Composites, Materials Science & Engineering A, 2015, 625, pp. 278-287
  9. Liu, H., et al., Investigation of the Effect of the Gas Permeation Induced by Pressure Gradient on Transient Heat Transfer in Silica Aerogel, International Journal of Heat and Mass Transfer, 2016, 95, pp. 1026-1037
  10. Amon, C.H., et al., Modeling of nanoscale transport phenomena: Application to information technology, Physica A, 2006, 362, pp. 36-41
  11. Han, Y.F., et al., Comparison of Lattice Boltzmann Method and Monte Carlo Method for Modeling Phonon Heat Conduction, Journal of Harbin Institute of Technology (New Series), 2013, 20(5), pp. 75-80
  12. Han, Y.F., et al., Modeling of Phonon Heat Transfer in Spherical Segment of Silica Aerogel Grains, Physica B: Condensed Matter, 2013, 6, pp. 58-63
  13. Amona, C.H., et al., Modeling of Nanoscale Transport Phenomena: Application to Information Technology. Physica A, 2006, 362, pp. 36-41
  14. Christensen, A., et al., Multiscale Lattice Boltzmann Modeling of Phonon Transport in Crystalline Semiconductor Materials. Numerical Heat Transfer Part B, 2010, 57, pp. 89-109
  15. Majumdar, A., Microscale Heat Conduction in Dielectric Thin Films, Heat Transfer, 1993, 115, pp. 7-16

© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence