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首页> 外文期刊>International Journal of Heat and Mass Transfer >High accuracy numerical investigation of double-diffusive convection in a rectangular enclosure with horizontal temperature and concentration gradients
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High accuracy numerical investigation of double-diffusive convection in a rectangular enclosure with horizontal temperature and concentration gradients

机译：具有水平温度和浓度梯度的矩形罩内双扩散对流的高精度数值研究

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摘要

Double-diffusive convection of a binary mixed fluid in a rectangular enclosure with horizontal temperature and concentration gradients is numerically investigated. The problem with thermal Rayleigh numbers of 10~4 and 10~5, the Prandtl number being range of [0.015,12], the Lewis number being range of [0.05,100], the buoyancy ratio of 0.8, and the height-to-width aspect ratio of 2 are considered. A compact difference method with fully fourth-order accuracy and high resolution in space, involving a, at least, fourth-order upwind compact scheme suggested for approximation of the nonlinear convective terms, a fourth-order symmetrical compact scheme to discretize the viscous terms and the third-order TVD Run-ge-Kutta method employed for time discretization, is proposed for solving this unsteady double-diffusive convection problem. The effects of Prandtl and Lewis numbers on flow structure, the temperature and concentration distribution are investigated and discussed for Ra = 10~4 and 10~5 respectively in a rectangular enclosure with the aspect ratio A = 2. A bifurcation for the double-diffusive convection is captured with the variation of Prandtl number, and two different types of periodic flow motion with Lewis number in different ranges are observed.
机译：数值研究了矩形混合气体在水平温度和浓度梯度下的二元混合流体的双扩散对流。热瑞利数为10〜4和10〜5，普朗特数为[0.015,12]，路易斯数为[0.05,100]，浮力比为0.8，高度宽度宽高比为2。具有完全四阶精度和空间高分辨率的紧致差分方法，至少建议采用四阶迎风紧致格式来逼近非线性对流项，采用四阶对称紧致格式来离散粘性项和提出了一种用于时间离散的三阶TVD Run-ge-Kutta方法来解决该不稳定的双扩散对流问题。研究和讨论了在长宽比为A = 2的矩形外壳中，Ra = 10〜4和10〜5时，Prandtl和Lewis数对流动结构，温度和浓度分布的影响，并进行了讨论。对流是随Prandtl数的变化而捕获的，并且观察到两种不同类型的周期性流运动，其Lewis数在不同范围内。

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