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A Comprehensive Review on Multi-Dimensional Heat Conduction of Multi-Layer and Composite Structures: Analytical Solutions

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Abstract

Heat conduction in multi-layer and composite materials is one of the fundamental heat transfer problems in many industrial applications. Due to different materials types, interface conditions, and various geometries of these laminates, the heat conduction mechanism is more complicated than that of one-layer isotropic media. Analytical solutions are the best ways to study and understand such problems in depth. In this study, different existing analytical solutions for heat conduction in multi-layer and composite materials are reviewed and classified in rectangular, cylindrical, spherical, and conical coordinates. Applied boundary conditions, internal heat source, and thermal contact resistance as the most critical parameters in the solution complexity investigated in the literature, are discussed and summarized in different tables. Various types of multi-layer structures such as isotropic, anisotropic, orthotropic, and reinforced laminates are included in this study. It is found that although more than half a century has passed since the beginning of the research on heat transfer in multi-layer composites, new researches that can help with a better understanding in this area are still being offered. The challenges and shortcomings in this area are also discussed to guide future researches.

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Acknowledgments

Prof. Dengwei Jing gratefully acknowledges the financial support of the National Natural Science Foundation of China (No.52025061 and No.51961130386) and the financial support from the Royal Society-Newton Advanced Fellowship grant (NAF\R1\191163).

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Bojnord, Bojnord, Iran

    Amin AMIRI DELOUEI & Hasan SAJJADI

  2. Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran

    Amin EMAMIAN

  3. Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran

    Meysam ATASHAFROOZ

  4. School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Yueming Li

  5. Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Center for Complex Flows and Soft Matter Research and Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055, China

    Lian-Ping WANG

  6. Department of Mechanical Engineering, University of Delaware, Newark, Delaware, 19711, USA

    Lian-Ping WANG

  7. International Research Center for Renewable Energy, State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Dengwei JING

  8. Department of Mechanical and Power Engineering, Northwestern Polytechnical University, Xi’an, 710072, China

    Gongnan XIE

Authors
  1. Amin AMIRI DELOUEI
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  2. Amin EMAMIAN
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  3. Hasan SAJJADI
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  4. Meysam ATASHAFROOZ
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  5. Yueming Li
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  6. Lian-Ping WANG
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  7. Dengwei JING
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  8. Gongnan XIE
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Corresponding authors

Correspondence to Amin AMIRI DELOUEI or Dengwei JING.

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AMIRI DELOUEI, A., EMAMIAN, A., SAJJADI, H. et al. A Comprehensive Review on Multi-Dimensional Heat Conduction of Multi-Layer and Composite Structures: Analytical Solutions. J. Therm. Sci. 30, 1875–1907 (2021). https://doi.org/10.1007/s11630-021-1517-1

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  • DOI: https://doi.org/10.1007/s11630-021-1517-1

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