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 of experimental thermal conductivity data.
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An Effective Unit Cell Approach to Compute the Thermal Conductivity of Composites With Cylindrical Particles
Deepak Ganapathy,
Deepak Ganapathy
Department of Mechanical and Aerospace Engineering,
Arizona State University
, Tempe, AZ 85287-6106
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Kulwinder Singh,
Kulwinder Singh
Department of Mechanical and Aerospace Engineering,
Arizona State University
, Tempe, AZ 85287-6106
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Patrick E. Phelan,
Patrick E. Phelan
(480) 965-1625
Department of Mechanical and Aerospace Engineering,
e-mail: phelan@asu.edu
Arizona State University
, Tempe, AZ 85287-6106
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Ravi Prasher
Ravi Prasher
Assembly Technology Development,
Intel Corporation
, Chandler, AZ 85226-3699
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Deepak Ganapathy
Department of Mechanical and Aerospace Engineering,
Arizona State University
, Tempe, AZ 85287-6106
Kulwinder Singh
Department of Mechanical and Aerospace Engineering,
Arizona State University
, Tempe, AZ 85287-6106
Patrick E. Phelan
(480) 965-1625
Department of Mechanical and Aerospace Engineering,
Arizona State University
, Tempe, AZ 85287-6106e-mail: phelan@asu.edu
Ravi Prasher
Assembly Technology Development,
Intel Corporation
, Chandler, AZ 85226-3699J. Heat Transfer. Jun 2005, 127(6): 553-559 (7 pages)
Published Online: January 15, 2005
Article history
Received:
October 6, 2003
Revised:
January 15, 2005
Citation
Ganapathy, D., Singh, K., Phelan, P. E., and Prasher, R. (January 15, 2005). "An Effective Unit Cell Approach to Compute the Thermal Conductivity of Composites With Cylindrical Particles." ASME. J. Heat Transfer. June 2005; 127(6): 553–559. https://doi.org/10.1115/1.1915387
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