This is the third in a series of papers on the cylindrical orthotropic thermal properties of spiral woven composites. Based on the mathematical model by the authors, a parameter estimation technique has been used to evaluate the effective thermal properties by verifying the predictability of the mathematical model. Good agreement was found between the temperatures measured in a transient heat conduction experiment and those calculated using the prediction equations formulated by the estimated parameters.
References
1.
BehrensE., Thermal Conductivities of Composite Materials, Journal of Composite Materials, 2 (1968), 2–10.
2.
NielsenL. E., The Thermal and Electrical Conductivity of Two-Phase Systems, Industrial & Engineering Chemistry Fundamentals, 13 (1974), 17–20.
3.
SunstromD. W., and LeeY. -D., Thermal Conductivity of Polymers Filled with Particulate Solids, Journal of Applied Polymer Science, 16 (1972), 3159–3167.
4.
ProgelhofR. C., ThroneJ. L., and RuetschR. R., Methods for Predicting the Thermal Conductivity of Composite System: A Review, Polymer Engineering and Science, 16 (1976), 615–625.
5.
SpringerG., and TsaiS. W., Thermal Conductivities of Unidirectional Materials, Journal of Composite Materials, 1 (1967), 166–173.
6.
DoneaJ., Thermal Conductivities Based on Variational Principles, Journal of Composite Materials, 6 (1972), 262–266.
7.
ClaytonW. A., Constituent and Composite Thermal Conductivities of Phenolic-Carbon and Phenolic-Graphite Ablators, AIAA Paper No. 71-380 (1971).
8.
BigaudD., GoyhénècheJ. -M., and HamelinP., A Global-Local Non-Linear Modelling of Effective Thermal Conductivity Tensor of Textile-Reinforced Composites, Composites Part A, 32 (2001), 1443–1453.
9.
DasguptaA., and AgarwalR. K., Orthotropic Thermal Conductivity of Plain-Weave Fabric Composites using a Homogenization Technique, Journal of Composite Materials, 26 (1992), 2736–58.
10.
DasguptaA., and AgarwalR. K., and BhandarkarS. M., Composite Science and Technology, 56 (1996), 209–223.
11.
NingQ. -G., and ChouT. -W., A Closed-Form Solution of the Transverse Effective Thermal Conductivity of Woven Fabric composites, Journal of Composite Materials, 29 (1995), 2280–2294.
12.
NingQ. -G., and ChouT. -W., Closed-Form Solutions of the In-Plain Effective Thermal Conductivities of Woven-fabric Composites, Composites Science and Technology, 55 (1995), 41–48.
13.
NingQ. -G., and ChouT. -W., A General Analytical Model for Predicting the Transverse Effective Thermal Conductivities of Woven Fabric Composites, Composites Part A, 29 (1998), 315–322.
14.
HasselmanD. P. H., DonaldsonK. Y., and ThomasJ. R.Jr., Effective Thermal Conductivity of Uniaxial Composite with Cylindrically Orthotropic Carbon Fibers and Interfacial Thermal Barrier, Journal of Composite Materials, 27 (1993), 637–644.
15.
GroveS. M., A Model of Transverse Thermal Conductivity in Unidirectional Fibre-Reinforced Composites, Composites Science and Technology, 38 (1990), 199–209.
16.
Dul,nevG. N., and MuratovaL., Thermal Conductivity of Fibrous Systems, Journal of Engineering Physics, 14 (1968), 15–18.
17.
Dul,nevG. N., and ZarichnyakYu. P., Thermal Conductivity of Multicomponent Mixtures, Journal of Engineering Physics, 12 (1967), 215–219.
18.
Dul,nevG. N., and NovikovV. V., Conductivity of Nonuniform Systems, Journal of Engineering Physics, 36 (1979), 601–607.
19.
Dul,nevG. N., and NovikovV. V., Theory of the Flow and Conduction of Inhomogeneous Media: I. Basic Model of An Inhomogeneous Medium, Journal of Engineering Physics, 45 (1983), 1030–1037.
20.
Dul,nevG. N., DorofeevaT. V., VolkovD. P., and MuratovaB. L., Model of the Structure of the Effective Thermal Conductivity of a Bazhenov Suite, Journal of Engineering Physics, 52 (1987), 87–94.
21.
GustafsonS. E., KarawackiE., and KhanM. N., Journal of Applied Physics, 52 (1981), 2596–2600.
22.
GowayedY., HwangJ, and ChapmanD., Thernal Conductivity of Textile Composites with Arbitrary Preform Structures, Journal of Composites Technology & Research, 17 (1995), 56–62.
23.
GowayedY., and HwangJ. C., Thermal Conductivity of Composite Materials made from Plain Weave and 3-D Weaves, Composites Engineering, 5 (1995), 1177–1186.
24.
ChiuC. -H., and ChengC. -C., SAMPE Journal, 37 (2001), 44–50.
25.
ChengC.-C., and ChiuC. H., Second International Conference on Advanced Fiber/Textile Materials, Shinshu University, Ueda, Japan, 11-12 Nov. 2002, PB-35.
26.
ChengC. -C., and ChiuC. -H., Polymers and Polymer Composites, 12 (2003), 505–511.
27.
ChiuC.-H, ChengC. -C., HwanC.-L, and TsaiK. -H., Polymers and Polymer Composites, 14 (2006), 349–364.
28.
ÖzisikM.-N, Inverse Heat Transfer: Fundamentals and Applications, Taylor and Francis, New York, U. S. A., (1989).
29.
GarnierB., DelaunayD., and BeckJ. V., Estimation of Thermal Properties of Composite Materials without Instrumentation Inside the Samples, International Journal of Thermophysics, 13 (1992), 1097–1111.
30.
ScottE. P., and BeckJ. V., Estimation of Thermal Properties in Carbon/ Epoxy Composite Materials during Curing, Journal of Composite Materials, 26 (1992), 20–36.
31.
ScottE. P., and BeckJ. V., Estimation of Thermal Properties in Epoxy Matrix/Carbon Fiber Composite Materials, Journal of Composite Materials, 26 (1992), 132–149.
32.
IshikawaT., Analysis and Experiments on Thermal Conductivities of Unidirectional Fiber Reinforced Composites, Heat Transfer-Japanese Research, 9 (1982), 42–53.
33.
TatakR., BeckJ. V., and ScottE. P., Optimal Experimental Design for Estimating Thermal Properties of Composite Materials, International Journal of Heat and Mass Transfer, 36 (1993), 2977–2986.
34.
DowdingK. J., BeckJ. V., UlbrichA., BlackwellB., and HayesJ, Estimation of Thermal Properties and Surface Heat Flux in Carbon-Carbon Composite, Journal of Thermal Physics and Heat Transfer, 9 (1995), 345–351.
35.
DowdingK. J., BeckJ. V., and BlackwellB, Estimation of Directional-Dependent Thermal Properties in a Carbon-Carbon Composite, International Journal of Heat and Mass Transfer, 39 (1996), 3157–3164.
36.
DowdingK. J., Multi-Dimensional Estimation of Thermal Properties and Heat Flux using Experimental Data and a Sequential Gradient Method, PhD Dissertation, Department of Mechanical Engineering, Michigan State University, 1997.
37.
DowdingK. J., BeckJ. V., BlackwellB, Estimating Temperature-Dependent Thermal Properties, Journal of Thermal Physics and Heat Transfer, 13 (1999), 328–336.
38.
OladipoA. B., WichmanI. S., and BeckJ. V., Experimental Investigation of the Wood Fiber/Thermoplastic Composites, Journal of Composite Materials, 33 (1999), 480–495.
39.
DouglasJimJr., Alternating Direction Methods for Three Space Variables, Numerische Mathematik, 4 (1962), 41–63.
40.
DouglasJimJr., and GunJ. E., A General Formulation of Alternating Direction Methods-Part I. Parabolic and Hyperbolic Problems, Numerische Mathematik, 6 (1964), 428–453.
41.
DouglasJimJr., and RachfordH. H.Jr., On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables, Transactions of the American Mathematical Society, 82 (1956), 421–439.
GaoC., and WangY., A General Formulation of Peaceman and Rachford ADI Method for the N-Dimensional Heat Diffusion Equation, International Communications of Mass and Heat Transfer, 23 (1996), 845–854.
44.
HolmanJ., MarquardtD. W., An Algorithm for Least Squares Estimation of Nonlinear Parameters, SIAM Journal on Applied Mathematics, 11 (1963), 431–441.
45.
GillP. E., MurrayW., and WrightM. H., Practical Optimization, Academic Press, London, 105–137, (1981).
46.
ChengC. -C., Modeling of Effective Thermal Conductivity for Spiral Woven Fabric Composites, Ph.D. Dissertation, Graduate Institute of Textile Engineering, Feng Chia University, Taiwan, (2003).
