Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method | Zendy

DucPhi Do | Zendy; Dashnor Hoxha | Zendy

Open Access

Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method

Author(s) -

DucPhi Do,

Dashnor Hoxha

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/456931

Subject(s) - thermal conductivity , imperfect , nonlinear system , work (physics) , interface (matter) , materials science , thermal , composite number , diffusion , thermal diffusivity , conductivity , mechanics , numerical analysis , composite material , thermodynamics , mathematics , physics , mathematical analysis , philosophy , linguistics , quantum mechanics , capillary number , capillary action

The present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). This method is particularly efficient at solving the diffusion problem in domains containing inner boundaries in the form of perfect or imperfect interfaces between constituents. In this paper, this numerical procedure is extended in the framework of non linear behavior of constituents and interfaces. The performance of the developed tool is then demonstrated through the studies of temperature- and pressure-dependent effective thermal conductivity of geomaterials with imperfect interfaces

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