An analysis of effective thermal conductivity of heterogeneous materials

• Autorzy: Zhu G. , Kremenakova D. , Wang Y. , Militky J. , Mazari F. B.

Identyfikatory

DOI

10.2478/v10304-012-0044-2

• Języki publikacji: EN

Abstrakty

EN

Effective thermal conductivity (ETC) is a very important index for evaluating the thermal property of heterogeneous materials, which include more than two different kinds of materials. Several analytical models were proposed for predicting the ETC of heterogeneous materials, but in some cases, these models cannot provide very accurate predictions. In this work, several analytical models and numerical simulations were studied in order to investigate the differences among them. In addition, some factors which would influence the ETC of heterogeneous materials were investigated by numerical simulation. The results demonstrated that the numerical simulation can provide very accurate prediction, indicated that different analytical models should be selected to predict specific problems based on their assumptions, and suggested that more variables need to be considered in order to improve these analytical models, such as inclusion shape, inclusion size, distribution of inclusions and contact area. Besides, numerical method could be an effective and reliable way to obtain the ETC of heterogeneous materials with any kind of complicated structures.

Słowa kluczowe

EN

effective thermal conductivity; heterogeneous materials; analytical model; numerical method

PL

przewodność cieplna efektywna; materiały heterogeniczne; model analityczny; metoda numeryczna

• Wydawca: Lodz University of Technology, Faculty of Material Technologies and Textile Design
• Czasopismo: Autex Research Journal
• Rocznik: 2014
• Tom: Vol. 14, no. 1
• Strony: 14--21
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Zhu G.

• Department of textile material engineering, Technical University of Liberec, Studentská 1402/2, Liberec, Czech Republic

autor

Kremenakova D.

• Department of textile material engineering, Technical University of Liberec, Studentská 1402/2, Liberec, Czech Republic

autor

Wang Y.

• Department of textile material engineering, Technical University of Liberec, Studentská 1402/2, Liberec, Czech Republic

autor

Militky J.

• Department of textile material engineering, Technical University of Liberec, Studentská 1402/2, Liberec, Czech Republic

autor

Mazari F. B.

• Department of clothing technology, Technical University of Liberec, Studentská 1402/2, Liberec, Czech Republic

Bibliografia

• [1] Cengel, Y. A., (2003). Heat transfer: A practical approach. (2nd ed). New York, McGraw-Hill.
• [2] Ismail, M. I.; Ammar, A. S. A.; Elokeily, M. (1988). Heat Transfer through Textile Fabrics: Mathematical Model. Appl Math Model,12 (4), 434-440.
• [3] Bhattacharjee, D.; Kothari, V. K. (2009). Heat transfer through woven textiles. Int J Heat Mass Tran,52 (7–8), 2155-2160.
• [4] Ymashita Yoshihiro; Yamda Hiroakia; Hajimeb, M. (2008). Effective Thermal Conductivity of Plain Weave Fabric and its Composite Material Made from High Strength Fibers Journal of Textile Engineering,54 (4), 111-119.
• [5] Zhu, F.; Li, K. (2010). Determining Effective Thermal Conductivity of Fabrics by Using Fractal Method. Int J Thermophys,31 (3), 612-619.
• [6] Das, A.; Alagirusamy, R.; Kumar, P. (2011). Study of heat transfer through multilayer clothing assemblies: A theoretical prediction. Autex Res J,11 (2), 54-60.
• [7] Matusiak, M. (2012). Modelling the thermal resistance of woven fabrics. J Text I,104 (4), 426-437.
• [8] Taylor, R. E.; Jortner, J.; Groot, H. (1985). Thermal- Diffusivity of Fiber-Reinforced Composites Using the Laser Flash Technique. Carbon,23 (2), 215-222.
• [9] Johnson, L. F.; Hasselman, D. P. H.; Chyung, K. (1987). Effect of Silicon-Carbide Fiber or Whisker Reinforcement on the Thermal-Diffusivity Conductivity of an Osumilite Glass-Ceramic. J Am Ceram Soc,70 (6), C135-C138.
• [10] Zhang, X.; Fujiwara, S.; Fujii, M. (2000). Measurements of thermal conductivity and electrical conductivity of a single carbon fiber. Int J Thermophys,21 (4), 965-980.
• [11] Bogaty, H.; Hollies, N. R. S.; Harris, M. (1957). Some Thermal Properties of Fabrics: Part I: The Effect of Fiber Arrangement. Text Res J,27 (6), 445-449.
• [12] Al-Sulaiman, F. A.; Al-Nassar, Y. N.; Mokheimer, E. M. A. (2006). Numerical prediction of the thermal conductivity of fibers. Heat Mass Transfer,42 (5), 449-461.
• [13] Jiri Militky; Kremenakova, D. In Prediction of fabrics thermal conductivity, 5th International textile, clothing & design conference – Magic World of Textiles, Dubrovnik, Croatia, Dubrovnik, Croatia, 2010; pp 1-6.
• [14] Eucken, A. (1940). Allgemeine Gesetzmabigkeiten fur das Warmeleitvermogen verschiedener Stoffarten und Aggregatzustande. Forschung Gabiete Ingenieur,11 (1), 6-20.
• [15] Maxwell, J. C., (1954). A Treatise on Electricity and Magnetism. (3rd ed). New York, Dover Publications Inc.
• [16] Wang, J.; Carson, J. K.; North, M. F., et al. (2008). A new structural model of effective thermal conductivity for heterogeneous materials with co-continuous phases. Int J Heat Mass Tran,51 (9-10), 2389-2397.
• [17] Levy, F. L. (1981). A modified Maxwell-Eucken equation for calculating the thermal conductivity of two-component solutions or mixtures. Int. J. Refrigeration, 4 (4), 223-225.
• [18] Carson, J. K.; Lovatt, S. J.; Tanner, D. J., et al. (2003). An analysis of the influence of material structure on the effective thermal conductivity of theoretical porous materials using finite element simulations. Int J Refrig,26 (8), 873-880.
• [19] Dasgupta, A.; Agarwal, R. K.; Bhandarkar, S. M. (1996). Three-dimensional modeling of woven-fabric composites for effective thermo-mechanical and thermal properties. Compos Sci Technol,56 (3), 209-223.
• [20] Krach, A.; Advani, S. G. (1996). Influence of void shape, void volume and matrix anisotropy on effective thermal conductivity of a three-phase composite. J Compos Mater,30 (8), 933-946.
• [21] Francl, J.; Kingery, W. D. (1954). Thermal Conductivity:IX, Experimental Investigation of Effect of Porosity on Thermal Conductivity. J Am Ceram Soc,37 (2), 99-107.