### Abstract

This paper introduces a novel method, combining effective medium theory and the finite differences method, to model the effective thermal conductivity of cylindrical-particle-laden composite materials. Typically the curvature effects of cylindrical or spherical particles are ignored while calculating the thermal conductivity of composites containing such particles through numerical techniques, such that the particles are modeled as cuboids or cubes. An alternative approach to mesh the particles into small volumes is just about impossible, as it leads to highly intensive computations to get accurate results. On the other hand, effective medium theory takes the effect of curvature into account, but cannot be used at high volume fractions because it does not take into account the effects of percolation. In this paper, a novel model is proposed where the cylindrical particles are still treated as squares (cuboids), but to capture the effect of curvature, an effective conductivity is assigned to the particles by using the effective medium approach. The authors call this the effective unit cell approach. Results from this model for different volume fractions, on average, have been found to lie within ±5% of experimental thermal conductivity data.

Original language | English (US) |
---|---|

Pages (from-to) | 553-559 |

Number of pages | 7 |

Journal | Journal of Heat Transfer |

Volume | 127 |

Issue number | 6 |

DOIs | |

State | Published - Jun 2005 |

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### ASJC Scopus subject areas

- Mechanical Engineering
- Physical and Theoretical Chemistry
- Fluid Flow and Transfer Processes

### Cite this

*Journal of Heat Transfer*,

*127*(6), 553-559. https://doi.org/10.1115/1.1915387

**An effective unit cell approach to compute the thermal conductivity of composites with cylindrical particles.** / Ganapathy, Deepak; Singh, Kulwinder; Phelan, Patrick; Prasher, Ravi.

Research output: Contribution to journal › Article

*Journal of Heat Transfer*, vol. 127, no. 6, pp. 553-559. https://doi.org/10.1115/1.1915387

}

TY - JOUR

T1 - An effective unit cell approach to compute the thermal conductivity of composites with cylindrical particles

AU - Ganapathy, Deepak

AU - Singh, Kulwinder

AU - Phelan, Patrick

AU - Prasher, Ravi

PY - 2005/6

Y1 - 2005/6

N2 - This paper introduces a novel method, combining effective medium theory and the finite differences method, to model the effective thermal conductivity of cylindrical-particle-laden composite materials. Typically the curvature effects of cylindrical or spherical particles are ignored while calculating the thermal conductivity of composites containing such particles through numerical techniques, such that the particles are modeled as cuboids or cubes. An alternative approach to mesh the particles into small volumes is just about impossible, as it leads to highly intensive computations to get accurate results. On the other hand, effective medium theory takes the effect of curvature into account, but cannot be used at high volume fractions because it does not take into account the effects of percolation. In this paper, a novel model is proposed where the cylindrical particles are still treated as squares (cuboids), but to capture the effect of curvature, an effective conductivity is assigned to the particles by using the effective medium approach. The authors call this the effective unit cell approach. Results from this model for different volume fractions, on average, have been found to lie within ±5% of experimental thermal conductivity data.

AB - This paper introduces a novel method, combining effective medium theory and the finite differences method, to model the effective thermal conductivity of cylindrical-particle-laden composite materials. Typically the curvature effects of cylindrical or spherical particles are ignored while calculating the thermal conductivity of composites containing such particles through numerical techniques, such that the particles are modeled as cuboids or cubes. An alternative approach to mesh the particles into small volumes is just about impossible, as it leads to highly intensive computations to get accurate results. On the other hand, effective medium theory takes the effect of curvature into account, but cannot be used at high volume fractions because it does not take into account the effects of percolation. In this paper, a novel model is proposed where the cylindrical particles are still treated as squares (cuboids), but to capture the effect of curvature, an effective conductivity is assigned to the particles by using the effective medium approach. The authors call this the effective unit cell approach. Results from this model for different volume fractions, on average, have been found to lie within ±5% of experimental thermal conductivity data.

UR - http://www.scopus.com/inward/record.url?scp=21744434094&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21744434094&partnerID=8YFLogxK

U2 - 10.1115/1.1915387

DO - 10.1115/1.1915387

M3 - Article

AN - SCOPUS:21744434094

VL - 127

SP - 553

EP - 559

JO - Journal of Heat Transfer

JF - Journal of Heat Transfer

SN - 0022-1481

IS - 6

ER -