### Abstract

The thermal conductivity of a randomly oriented composite material is modeled using a probabilistic approach in order to determine if a size effect exists for the thermal conductivity at small composite thicknesses. The numerical scheme employs a random number generator to position the filler elements, which have a relatively high thermal conductivity, within a matrix having a relatively low thermal conductivity. The results indicate that, below some threshold thickness, the composite thermal conductivity increases with decreasing thickness, while above the threshold the thermal conductivity is independent of thickness. The threshold thickness increases for increasing filler fraction and increasing k(f)/k(m), the ratio between the filler and matrix thermal conductivities.

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

Pages (from-to) | 971-976 |

Number of pages | 6 |

Journal | Journal of Heat Transfer |

Volume | 120 |

Issue number | 4 |

State | Published - Nov 1998 |

### Fingerprint

### Keywords

- Conduction
- Numerical methods
- Thermophysical properties

### ASJC Scopus subject areas

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

### Cite this

*Journal of Heat Transfer*,

*120*(4), 971-976.

**Effective thermal conductivity of a thin, randomly oriented composite material.** / Phelan, Patrick; Niemann, R. C.

Research output: Contribution to journal › Article

*Journal of Heat Transfer*, vol. 120, no. 4, pp. 971-976.

}

TY - JOUR

T1 - Effective thermal conductivity of a thin, randomly oriented composite material

AU - Phelan, Patrick

AU - Niemann, R. C.

PY - 1998/11

Y1 - 1998/11

N2 - The thermal conductivity of a randomly oriented composite material is modeled using a probabilistic approach in order to determine if a size effect exists for the thermal conductivity at small composite thicknesses. The numerical scheme employs a random number generator to position the filler elements, which have a relatively high thermal conductivity, within a matrix having a relatively low thermal conductivity. The results indicate that, below some threshold thickness, the composite thermal conductivity increases with decreasing thickness, while above the threshold the thermal conductivity is independent of thickness. The threshold thickness increases for increasing filler fraction and increasing k(f)/k(m), the ratio between the filler and matrix thermal conductivities.

AB - The thermal conductivity of a randomly oriented composite material is modeled using a probabilistic approach in order to determine if a size effect exists for the thermal conductivity at small composite thicknesses. The numerical scheme employs a random number generator to position the filler elements, which have a relatively high thermal conductivity, within a matrix having a relatively low thermal conductivity. The results indicate that, below some threshold thickness, the composite thermal conductivity increases with decreasing thickness, while above the threshold the thermal conductivity is independent of thickness. The threshold thickness increases for increasing filler fraction and increasing k(f)/k(m), the ratio between the filler and matrix thermal conductivities.

KW - Conduction

KW - Numerical methods

KW - Thermophysical properties

UR - http://www.scopus.com/inward/record.url?scp=0032215976&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032215976&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032215976

VL - 120

SP - 971

EP - 976

JO - Journal of Heat Transfer

JF - Journal of Heat Transfer

SN - 0022-1481

IS - 4

ER -