Comparison of experimental and simulated effective thermal conductivity of polymer matrix filled with metallic spheres: Thermal contact resistance and particle size effect
Restricted accessResearch articleFirst published online October, 2015
Comparison of experimental and simulated effective thermal conductivity of polymer matrix filled with metallic spheres: Thermal contact resistance and particle size effect
In this paper, we present a numerical and experimental study of a composite material with conducting spheres embedded in a polymer matrix. Our main objective is to study how the particle size and thermal contact affect the overall thermal properties of composites. In the numerical study, finite elements method is used to model heat transfer and to calculate the effective thermal conductivity. A periodical method was used to measure simultaneously thermal conductivity and diffusivity of the composite consisting of an epoxy resin matrix filled with brass spheres of different sizes. A comparison between the numerically calculated, measured and analytical thermal conductivity values for various samples is performed and the significance of the findings is discussed in the paper.
Milton GM. The theory of composites. Cambridge University Press, 2002, p.711.
2.
BeasleyJDTorquatoS. Bounds on the conductivity of random impenetrable spheres. J Appl Phys1986; 60: 3576–3581.
3.
ThovertJFAcrivosA. The effective thermal conductivity of a random polydispersed suspension of spheres to order C2. Chem Eng Commun1989; 82: 177–191.
4.
McKenzieDRMcPhedranandRCDerrickGH. The conductivity of lattices of spheres. II. The body centered and face centered cubic lattices. Proc Roy Soc Lond A1978; 362: 211–232.
5.
GuGQTaoR. Effective thermal conductivity of a periodic composite with contact resistance. J Appl Phys1988; 64: 2968–2972.
6.
GuGLiuZ. Effects of contact resistance on thermal conductivity of composite media with a periodic structure. J Phys D Appl Phys1992; 25: 249–255.
7.
TorquatoSRintoulMD. Effect of the interface on the properties of composite media. Phys Rev Lett1995; 75: 4067–4070. Erratum, Phys Rev Lett 1996; 76: 3241–3241.
8.
ChengHTorquatoS. Effective conductivity of periodic arrays of spheres with interfacial resistance. Proc Roy Soc Lond A1997; 453: 145–161.
9.
TorquatoSKimIC. Efficient simulation technique to compute effective properties of heterogeneous media. Appl Phys Lett1989; 55: 1847–1849.
10.
KimICTorquatoS. Effective conductivity of suspensions of hard spheres by Brownian motion simulation. J Appl Phys1991; 69: 2280–2289.
11.
HashinZ. Assessment of the self consistent scheme approximation: conductivity of particulate composites. J Compos Mater1968; 2: 284–300.
12.
BenvenisteYMilohT. The effective conductivity of composites with imperfect thermal contact at constituent interfaces. Int J Eng Sci1986; 24: 1537–1552.
13.
BenvenisteY. Effective thermal conductivity of composites with a thermal contact resistance between the constituents: nondilute case. J Appl Phys1987; 61: 2840–2843.
14.
SchulgasserK. Concerning the effective transverse conductivity of a two-dimensional two-phase material. Int J Heat Mass Transfer1977; 20: 1273–1280.
15.
MilgromMShtrikmanS. A layered-shell model of isotropic composites and exact expressions for the effective properties. J Appl Phys1989; 66: 3429–3436.
16.
DeisslerRGBoegliJS. An investigation of effective thermal conductivities of powders in various gases. ASME Trans1958; 80: 1417–1425.
17.
WakaoNKatoK. Effective thermal conductivity of packed beds. J Chem Eng Jpn1969; 2: 24–33.
18.
ShonnardDRWhitakerS. The effective thermal conductivity for a point contact porous medium: an experimental study. Int J Heat Mass Transfer1989; 32: 503–512.
19.
AuriaultJ-LEneHI. Macroscopic modelling of heat transfer in composites with interfacial thermal barrier. Int J Heat Mass Transfer1994; 37: 2885–2892.
20.
VeyretDCioulachtjianSTadristL. Effective thermal conductivity of a composite material: A numerical approach. J Heat Transfer1993; 115: 866–871.
21.
RamaniKVaidyanathanA. Finite element analysis of effective thermal conductivity of filled polymeric composites. J Compos Mater1995; 29: 1725–1740.
22.
TeradaKMiuraTKikuchiN. Digital image-based modeling applied to the homogenization analysis of composite materials. Comput Mech1997; 20: 331–346.
23.
BakkerK. Using the finite element method to compute the influence of complex porosity and inclusion structures on the thermal and electrical conductivity. Int J Heat Mass Transfer1997; 40: 3503–3511.
JiangMOstoja-StarzewskiMJasiukI. Apparent thermal conductivity of periodic two-dimensional composite. J Comput Mater Sci2002; 25: 329–338.
28.
LiangJZLiFH. Simulation of heat transfer in hollow-glass-bead-filled polypropylene composites by finite element method. Polym Test2007; 26: 419–424.
29.
FiedlerTLöfflerRBernthalerT. Numerical analyses of the thermal conductivity of random hollow sphere structures. Mater Lett2009; 63: 1125–1127.
30.
FiedlerTBelovaIVÖchsnerA. Non-linear calculations of transient thermal conduction in composite materials. Comput Mater Sci2009; 45: 434–438.
31.
KarkriMBoudenneAIbosL. Numerical and experimental study of the effective thermal conductivity of composite made of resin loaded with conductive spheres. Int J High Temp-High Pressure2011; 40: 61–84.
32.
CristinaFGarnierBDanesF. Effective conductivity of a composite in a primitive tetragonal lattice of highly conducting spheres in resistive thermal contact with the isolating matrix. J Heat Transfer2007; 129: 1617–1626.
33.
Mirmira SR. Effective Thermal Conductivity of Fibrous Composites: Experimental and Analytical Study. Ph.D. Thesis, Texas A&M University, TX, 1999.
34.
RussellHW. Principles of heat flow in porous insulators. J Am Ceram Soc1935; 18: 1–5.
35.
ChengSCVachonRI. The prediction of the thermal conductivity of two and three phase solid heterogeneous mixtures. Int J Heat Mass Transfer1969; 12: 249–264.
36.
WeidenfellerBHöferMSchillingFR. Thermal conductivity, thermal diffusivity and specific heat capacity of particle filled polypropylene. Compos, Part A2004; 35: 423–429.
37.
TriguiAKarkriMPeñaL. Thermal and mechanical properties of maize fibres–high density polyethylene biocomposites. J Compos Mater2012; 47: 1387–1397.
38.
MamunyaYePDavydenkoVVPissisP. Electrical and thermal conductivity of polymers filled with metal powders. Eur Polym J2002; 38: 1887–1897.
39.
DanesFGarnierBDupuisT. Predicting, measuring, and tailoring the transverse thermal conductivity of composites from polymer matrix and metal filler. Int J Thermophys2003; 24: 771–784.
40.
HasselmanDPHJohnsonLF. Effective thermal conductivity of composites with interfacial thermal barrier resistance. J Comp Mater1987; 21: 508–515.
41.
GrahamSMcDowellDL. Numerical analysis of the transverse thermal conductivity of composites with imperfect interfaces. J Heat Transfer2003; 125: 389–393.
42.
HashinZShtrikmanS. A variational approach to the theory of the effective magnetic permeability of multiphase materials. J Appl Phys1962; 33: 3125–3131.
BoudenneAIbosLGéhinE. A simultaneous characterisation of thermal conductivity and diffusivity of polymer materials by a periodic method. J Phys D: Appl Phys2004; 37: 132–139.
47.
BoudenneAIbosLCandauY. Analysis of uncertainties on thermophysical parameters of materials obtained from a periodic method. Meas Sci Technol2006; 17: 1870–1876.
48.
KarkriMJarnyYMousseauP. Inverse heat transfer analysis in a polymer melt flow within an extrusion die. Inverse Prob Sci Eng2005; 13: 355–376.
