Three dimensional simulations and stability analysis for convection induced by absorption of radiation
Three dimensional simulations and stability analysis for convection induced by absorption of radiation
复制标题
吸收辐射引起对流的三维模拟及稳定性分析
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
A. Harfash
中科院分区：
文献类型：
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作者：
A. Harfash
目的-本文的目的是研究一个模型的对流诱导的选择性吸收辐射的流体层。基于浓度的内部热源采用二次建模。线性不稳定性和全球非线性能量稳定性分析进行了测试，使用三维模拟。结果表明，线性阈值准确地预测了在基本稳定状态的不稳定性的开始。然而，所需的时间达到稳定状态显着增加的瑞利数趋于线性阈值。设计/方法/途径-作者介绍了由流体层中的辐射吸收引起的对流问题的稳定性分析，然后作者选择了具有非常大的亚临界区域的情况。然后，作者对该问题进行了三维仿真。为此，作者首先将问题转化为速度-涡量方程，然后用二阶有限差分格式求解。
Purpose – The purpose of this paper is to investigate a model for convection induced by the selective absorption of radiation in a fluid layer. The concentration based internal heat source is modelled quadratically. Both linear instability and global nonlinear energy stability analyses are tested using three dimensional simulations. The results show that the linear threshold accurately predicts on the onset of instability in the basic steady state. However, the required time to arrive at the steady state increases significantly as the Rayleigh number tends to the linear threshold. Design/methodology/approach – The author introduce the stability analysis of the problem of convection induced by absorption of radiation in fluid layer, then the author select a situations which have very big subcritical region. Then, the author develop a three dimensions simulation for the problem. To do this, first, the author transform the problem to velocity – vorticity formulation, then the author use a second order finite...