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首页> 外文期刊>International Journal of Heat and Mass Transfer >Stability analysis for three-dimensional Rayleigh-Benard convection with radiatively participating medium using spectral methods
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Stability analysis for three-dimensional Rayleigh-Benard convection with radiatively participating medium using spectral methods

机译：辐射参与介质的三维Rayleigh-Benard对流稳定性的光谱分析

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摘要

In this study, a fluid subject to combined natural convection and radiation is studied by employing the Boussinesq approximation of the Navier-Stokes equations. The solution for the flow field within a three-dimensional rectangular enclosure is found numerically using a spectral method. The equation of radiation transfer for the participating medium is analyzed by the exact integral formulation. Black boundaries and a gray medium are prescribed. Linear stability analysis and weakly nonlinear analysis are used to determine the critical Rayleigh number for the onset of convection in the combined mode. For the system with flow, a modified second-order time splitting method and a spectral collocation method are introduced to minimize the errors in the computation. From numerical simulation and stability analysis, insight into the effect of radiation on this classical problem can be accomplished. The results show that the presence of a radiative source changes the static temperature gradient of the fluid, and generally results in increasing the flow critical values. The influences of the conduction-radiation parameter, Rayleigh number, and optical thickness on flow instabilities and bifurcations are discussed.
机译：在这项研究中，通过采用Navier-Stokes方程的Boussinesq逼近，研究了自然对流和辐射相结合的流体。使用频谱方法在数值上找到了三维矩形外壳内流场的解。通过精确的积分公式分析了参与介质的辐射传输方程。规定了黑色边界和灰色介质。线性稳定性分析和弱非线性分析用于确定组合模式下对流爆发的临界瑞利数。对于有流量的系统，引入了改进的二阶时间分割方法和频谱搭配方法，以最大程度地减少计算中的误差。通过数值模拟和稳定性分析，可以深入了解辐射对这一经典问题的影响。结果表明，辐射源的存在会改变流体的静态温度梯度，并且通常会导致流量临界值增加。讨论了传导辐射参数，瑞利数和光学厚度对流动不稳定性和分叉的影响。

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