自然科学版 英文版
自然科学版 英文版
自然科学版 英文版

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中南大学学报(英文版)

Journal of Central South University

Vol. 26    No. 11    November 2019

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Analytical solutions of transient heat conduction in multi-layered slabs and application to thermal analysis of landfills
WU Xun(吴珣)1, 2, 3, SHI Jian-yong(施建勇)1, 2, LEI Hao(雷浩)1, 2, LI Yu-ping(李玉萍)1, 2, Leslie OKINE1, 2

1. Geotechnical Engineering Research Institute, Hohai University, Nanjing 210098, China;
2. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering,
Hohai University, Nanjing 210098, China;
3. College of Mechanics and Materials, Hohai University, Nanjing 211100, China

Abstract:The study of transient heat conduction in multilayered slabs is widely used in various engineering fields. In this paper, the transient heat conduction in multilayered slabs with general boundary conditions and arbitrary heat generations is analysed. The boundary conditions are general and include various combinations of Dirichlet, Neumann or Robin boundary conditions at either surface. Moreover, arbitrary heat generations in the slabs are taken into account. The solutions are derived by basic methods, including the superposition method, separation variable method and orthogonal expansion method. The simplified double-layered analytical solution is validated by a numerical method and applied to predicting the temporal and spatial distribution of the temperature inside a landfill. It indicates the ability of the proposed analytical solutions for solving the wide range of applied transient heat conduction problems.

 

Key words: heat conduction; multilayered slab; heat generation; analytical solutions; landfill

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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