Abstract
Three empirical formulas are developed to predict the thermal conductivities of fiber-reinforced composite laminates (FRCL) and its constituents. The inherent two or three-dimensional problem that is common in composites is simplified to a one-dimensional problem. The validity of the models is verified through finite element analysis. This method utilizes the parallel and series thermal models of composite walls. The models are tested at different fiber-to-resin volume ratios (30:70–75:25) and various fiber-to-resin thermal conductivity ratios (0.2–5). The predicted thermal conductivity of the fiber can be accurately predicted throughout the spectrum via two models. The first model is a first-order formula (R 2 = 0.94) while the second model is a second-order formula (R 2 = 0.976). These two models can be used to predict the fiber thermal conductivity based on the easily measured resin and laminate values. A third model to predict the overall laminate thermal conductivity is introduced. The thermal conductivity of the composite panel is predicted with very high accuracy (R 2 = 0.995). The thermal conductivity predicted via the use of these models has an excellent agreement with the experimental measurements. Another use of these models is to determine the fiber-to-resin volume ratio (if all thermal conductivities of fiber, resin and laminate are known).
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References
Kreith F, Bohn MS (1993) Principles of heat transfer, 5th edn. West Publishing Company, Minneapolis/St. Paul
Dasgupta A, Agarwal R (1992) Orthotropic thermal conductivity of plain-weave fabric composites. J Compos Mater 26(18):2736–2758
Thomas L, Antar M (1998) Heat transfer in composite walls: a practical two-dimensional thermal circuit method. ASHRAE Trans 104(2):198–209
Tai H (1996) Equivalent thermal conductivity of two- and three-dimensional orthogonally fiber-reinforced composites in one-dimensional heat flow. J Compos Technol Res JCTRER 18(3):221–227
Alcaraz D, Moreno JA, Alhama F (2003) Thermal conductivity estimation in continuous fiber metal matrix composites with random distributions. Mater Sci Forum 426–432(3):2169–2174
Graham S, McDowell DL (2003) Numerical analysis of the tranverse thermal conductivity of composites with imperfect interfaces. ASME Trans J Heat Transfer 125:389–393
Xu Y, Kinugawa J, Yagi K (2003) Development of thermal conductivity prediction system for composites. Mater Trans 44(4):629–632
Schneider PJ (1974) Conduction heat transfer, 2nd edn. Addison Wesley, Reading
Montgomry DC (1997) Design and analysis of experiments. Wielly, New York
Faleh A, Al-Sulaiman (2003) Date palm fiber reinforced composite as a new insulating material. Intl J Energy Res 27:1293–1297
Anon, Thermal conductivity of some materials, http://www.engineeringtoolbox.com/24_429.html
Jumel J, Lepoutre F, Roger JP, Neuer G, Ctaldi M, Enguehart F (2003) Microscopic thermal characterization of composites. Rev Sci Instrum 74(1):537–539
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Al-Sulaiman, F.A., Mokheimer, E.M.A. & Al-Nassar, Y.N. Prediction of the thermal conductivity of the constituents of fiber reinforced composite laminates. Heat Mass Transfer 42, 370–377 (2006). https://doi.org/10.1007/s00231-005-0636-7
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DOI: https://doi.org/10.1007/s00231-005-0636-7