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Journal of Shanghai University >

2022 , Vol. 28 >Issue 1: 145 - 156

DOI: https://doi.org/10.12066/j.issn.1007-2861.2264

Research Articles

Thermodynamic analysis of a fluid-saturated porous thermo-elastic symmetric plane

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  • 1. The College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China
    2. Department of Civil Engineering, Shanghai University, Shanghai 200444, China

Received date: 2020-02-18

  Online published: 2020-07-15

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Abstract

To address problems related to geometric nonlinearity and the local thermal equilibrium, the thermodynamic characteristics of an incompressible fluid-saturated porous thermo-elastic half-plane subjected to surface temperature loadings are studied. First, a mathematical model of the problem of geometric nonlinearity is established based on the porous media theory. Then, a synthetic numerical computation method is presented to simulate the numerical results of the problem. Here, the differential quadrature method and second-order backward difference scheme are applied to discretize the mathematical model in the spatial and time domains, respectively. In addition, the Newton-Raphson iterative method is used to solve nonlinear algebraic equations and to present the numerical results of the problem. The method presented in this study is proven to be effective and reliable, where its advantages include a small calculated amount and high accuracy. Finally, the thermodynamic characteristics of the fluid-saturated porous thermo-elastic half-plane subjected to surface temperature loadings are studied, and the effects of material parameters and geometric nonlinearity on the dynamic characteristics are considered in detail.

Key words： porous media theory; fluid-saturated porous thermo-elastic half-plane; geometric nonlinearity; differential quadrature method; thermodynamic

Cite this article

ZHU Yuanyuan, YANG Xiao, WU Haitao . Thermodynamic analysis of a fluid-saturated porous thermo-elastic symmetric plane[J]. Journal of Shanghai University, 2022 , 28(1) : 145 -156 . DOI: 10.12066/j.issn.1007-2861.2264

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