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Thermal and Electrical Conductivity of Polymer Materials pp 1–30Cite as

Thermal conductivity of heterophase polymer compositions

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Part of the book series: Advances in Polymer Science ((POLYMER,volume 119))

Abstract

This document is a review of the important aspects of the thermal conductivity of filled polymer compositions. Included in this review is an analysis of the various theories developed to model the behavior of heterogeneous two phase systems. A number of second order models were found to provide good estimates of actual data for composites filled with spherical and irregularly shaped particles. In those cases where the models and data disgreed, it was usually because the packing arrangements in the real systems did not match the assumed packing arrangements in the models. This usually occurred at high filler volume fractions where filler packing depends on mixing, particle size and size distribution, and molding considerations. Similar disparities between real composite systems and models for flake and fiber filled composites made analysis of models for such systems difficult to assess. Experimental methods were reviewed, with the inclusion of the more recently developed unsteady state techniques. Finally, discussion is presented on the use of thermally conductive compositions in heat exchangers where the thermal conductivity is of primary importance to the performance of the device.

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Abbreviations

b:

parameter in Eq. (18) defined in Eq. (19)

d:

constant in Eqs. (5, 8, 9, 11, 12 and 18)

kc :

thermal conductivity of a two phase composite

kf :

thermal conductivity of the filler material

km :

thermal conductivity of the matrix material

l:

fiber length

l:

wire strip length

n:

power law exponent in Eq. (20)

q:

heat flux

q′:

rate of heat generated per length of wire in line source technique

r:

radial distance from line source

t:

time

t1 :

time 1

t2 :

time 2

x:

distance

xo :

material thickness

Δx:

change in distance

A:

cross-sectional area

A:

coefficient in Eq. (15)

An :

summation parameter in Eq. (6)

A1 :

parameter defined in Eq. (7)

A2 :

parameter defined in Eq. (8)

A3 :

parameter defined in Eq. (9)

B:

coefficient in Eq. (15), defined in Eq. (17)

Bn :

summation parameter in Eq. (10)

C1 :

parameter in Eq. (20) related to effect of filler on crystallinity of polymer

C:

parameter in Eq. (20) related to critical structural concentration of filler particles

Cp :

specific heat

D:

fiber diameter

E:

modulus

F:

force

H:

parameter in Eq. (34), defined in Eq. (35)

J:

parameter in Eq. (30), defined in Eq. (31)

L:

effective diameter of a flake

N:

coefficient in Eq. (13)

Q:

rate of heat flow

R:

line resistance

S:

coefficient in Eqs. (14, 25)

S11 :

parameter in Eq. (30), defined in Eq. (32)

S33 :

parameter in Eq. (30), defined in Eq. (33)

T:

temperature

T0 :

initial sample temperature

T1 :

temperature at time t1

T2 :

temperature at time t2

Ti :

constant surface temperature in Eq. (39)

V:

average ac line voltage

V3, 1 :

average rms voltage at harmonic frequency 3ω1

V3, 2 :

average rms voltage at harmonic frequency 3ω2

X:

effective thickness of a flake

β:

parameter in Eq. (11), defined in Eq. (12)

ε:

strain

φc :

critical volume fraction for interparticle network formation

φf :

volume fraction of filler phase

φm :

volume fraction of matrix phase

φmax :

maximum packing fraction

ρ:

density

σ:

stress

ψ:

parameter in Eq. (15), defined in Eq. (16)

ω:

current frequency in radians/sec

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Authors and Affiliations

  1. R.G. Barry Corporation, P.O. Box 129, 43216, Columbus, OH, USA

    D. M. Bigg

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© 1995 Springer-Verlag

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Bigg, D.M. (1995). Thermal conductivity of heterophase polymer compositions. In: Thermal and Electrical Conductivity of Polymer Materials. Advances in Polymer Science, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021279

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  • DOI: https://doi.org/10.1007/BFb0021279

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  • Print ISBN: 978-3-540-58502-2

  • Online ISBN: 978-3-540-49015-9

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