[1]朱媛媛,王笑梅.热局部非平衡流体多孔弹性平面的非线性研究[J].郑州大学学报(工学版),2020,41(06):60-65.[doi:10.13705/j.issn.1671-6833.2020.04.012]
　Zhu Yuanyuan,Wang Xiaomei..Nonlinear Study on Fluid Porous Elastic Plane ba＜x＞sed on Local Thermal Non-equilibrium[J].Journal of Zhengzhou University (Engineering Science),2020,41(06):60-65.[doi:10.13705/j.issn.1671-6833.2020.04.012]

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热局部非平衡流体多孔弹性平面的非线性研究()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

41卷

期数:

2020年06期

页码:

60-65

栏目:

出版日期:

2020-12-31

文章信息/Info

Title:

Nonlinear Study on Fluid Porous Elastic Plane ba＜x＞sed on Local Thermal Non-equilibrium

作者:

朱媛媛; 王笑梅

上海师范大学信息与机电工程学院,上海200234, 上海师范大学信息与机电工程学院,上海200234

Author(s):

Zhu Yuanyuan;  Wang Xiaomei.

School of Information and Electromechanical Engineering, Shanghai Normal University, Shanghai 200234, School of Information and Electrical Engineering, Shanghai Normal University, Shanghai 200234

关键词:

多孔介质混合物理论(PMT);  流体饱和多孔热弹性半平面;  几何非线性;  热局部非平衡;  微分求积法(DQM);  热动力学特性

Keywords:

The theory of porous medium mixture (PMT);  fluid saturated;  porous;  porous and hypertrophic semi -plane;  geometric non -linearity;  heat local non -balanced;  micro -division method (DQM);  thermodynamics characteristics

DOI:

10.13705/j.issn.1671-6833.2020.04.012

文献标志码:

A

摘要:

在几何非线性和热局部非平衡条件下，对不可压流体饱和多孔热弹性半平面在受到表面温度载荷作用下的热动力学特性进行了研究。首先基于多孔介质混合物理论，考虑几何非线性和热局部非平衡条件的影响，给出了问题的数学模型。然后提出了一种综合数值计算方法来求解问题，该方法通过微分求积法和二阶后向差分格式分别在空间域和时间域离散数学模型，利用Newton-Raphson法求解非线性代数方程组，从而可得到问题的数值结果。研究表明，求解方法是有效可靠的，且具有计算量小、精度高等优点。最后，研究了流体饱和多孔热弹性半平面在表面温度载荷作用下的热力学特性，详细考虑了材料参数、热局部非平衡条件和几何非线性的影响。

Abstract:

In the case of geometric nonlinearity and local thermal non-equilibrium, thermodynamic characteristics for an incompressible fluid-saturated porous thermo-elastic half-plane subjected to a surface temperature loading are studied. Firstly, the mathematical model of problem with geometric nonlinearity and local thermal non-equilibrium is established ba＜x＞sed on the Porous Media Theory. Then a synthetical numerical computation method is presented to simulate the numerical results of problem, in which, the differential quadrature method and the second-order backward difference scheme are applied to discretize mathematical model on the spatial and time domain, respectively, the Newton-Raphson iterative method is finally used to solve the nonlinear algebraic equations and to present the numerical results of the problem. The study points out that the solution method is effective and reliable. The advantages of the presented method, such as little calculated amount and high accuracy, can be proved. Finally, the thermodynamics characteristics for a fluid-saturated porous thermo-elastic half-plane subjected to the surface temperature loadings are studied, the effects of material parameters, local thermal non-equilibrium and geometric nonlinearity on the dynamic characteristics are considered in detail.

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