**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32722

##### Lattice Monte Carlo Analyses of Thermal Diffusion in Laminar Flow

**Authors:**
Thomas Fiedler,
Irina V. Belova,
Graeme E. Murch

**Abstract:**

**Keywords:**
Coupled Analysis,
Laminar Flow,
Lattice MonteCarlo,
Thermal Diffusion

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1078281

**References:**

[1] G. E. Murch, "Simulation of Diffusion Kinetics with the Monte Carlo Method" in Diffusion in Crystalline Solids, G. E. Murch, A.S. Nowick, Eds, Orlando: Academic Press, 1984, pp. 379 - 427.

[2] Y. Mishin, I. V. Belova, and G. E. Murch, "Atomistic Modelling of Diffusion in the TiAl Compound" Defect Diffus. Forum, vol. 237-240, pp. 271 - 276, 2005.

[3] I. V. Belova and G. E. Murch, "Bridging Different Length and Time Scales in Diffusion Problems Using a Lattice Monte Carlo Methods" Sol. St. Phen., vol. 129, pp. 1 - 10, 2007.

[4] I. V. Belova, G. E. Murch, N. Muthubandara, and A. ├ûchsner, "Analysis of Oxygen Segregation at Metal-Oxide Interfaces Using a New Lattice Monte Carlo Method" Sol. St. Phen., vol. 129, pp. 111 - 118, 2007.

[5] I. V. Belova, G. E. Murch, T. Fiedler, and A. ├ûchsner, "Lattice-based walks and the Monte Carlo method for addressing mass, thermal and elasticity problems" Defect Diffus. Forum, vol. 283-286, pp. 13 - 23, 2009.

[6] I. V. Belova, G. E. Murch, T. Fiedler, and A. ├ûchsner, Diffusion Fundamentals, vol. 4, pp. 15.1-15.23, 2007. On-line.

[7] T. Fiedler, A. ├ûchsner, N. Muthubandara, I. V. Belova, G. E. Murch, "Calculation of the Effective Thermal Conductivity in Composites Using Finite Element and Monte Carlo Methods" Mater. Sci. Forum, vol. 553, pp. 51 - 56, 2007.

[8] T. Fiedler, A. ├ûchsner, I. V. Belova, and G. E. Murch, "Calculations of the effective thermal conductivity in a model of syntactic metallic hollow sphere structures using a Lattice Monte Carlo method" Defect Diffus. Forum, vol. 273-276, pp. 216 - 221, 2008.

[9] I. V. Belova and G. E. Murch, "Thermal Properties of Composite materials and Porous Media: Lattice-Based Monte Carlo Approaches" in Cellular and Porous Materials. Thermal Properties, Simulation and Prediction, A. ├ûchsner, G. E. Murch, J. S. de Lemos, Eds Weinheim: Wiley VCH, 2008, pp. 73 - 95.

[10] T. Fiedler, I. V. Belova, A. ├ûchsner, and G. E. Murch, "Non-linear calculations of transient thermal conduction in composite materials" Comp. Mater. Sci., vol. 45, pp. 434 - 438, 2009.

[11] T. Fiedler, I. V. Belova, G. E. Murch, "A Lattice Monte Carlo analysis on coupled reaction and mass diffusion" Comp. Mater. Sci., accepted for publication.

[12] C. O. Bennett and J. E. Myers, Momentum, Heat, and Mass Transfer, New York: McGraw-Hill Book Company, 1982.

[13] C. Y. Ho, R. W. Powell, and P. E. Liley, "Thermal Conductivity of the Elements" J. Phys. Chem. Ref. Data, vol. 1, pp. 279-442, 1972.

[14] G. K. White and S.J. Collocott, "Heat Capacity of Reference Materials" J. Phys. Chem. Ref. Data, vol. 13, no 4, pp. 1251-1257, 1984.

[15] F. L. Levy, "The thermal conductivity of commercial brines and seawater in the freezing range", Int. J. Refrig., vol. 5, pp. 155-159, 1982.

[16] D. R. Lide, CRC Handbook of Chemistry and Physics. Boca Raton: CRC Press, 1998.