Effect of Phase Thermal Modulation Without Stationary Temperature Gradient on the Threshold of Convection

K. Souhar; S. Aniss

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Effect of Phase Thermal Modulation Without Stationary Temperature Gradient on the Threshold of Convection

机译：没有平稳温度梯度的相热调制对流阈值的影响

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The convective instability of a horizontal fluid layer subject to a time varying gradient of temperature is investigated. The stationary component of the temperature gradient is considered equal to zero and the oscillating components imposed on the horizontal boundaries are in phase and with the same amplitude. The aim of the present paper is to examine the effect of this type of modulation on the onset of convective instability. We show that unlike the case where the equilibrium configuration is stable in the absence of modulation, we have instability when the temperature at the horizontal boundaries is modulated in phase. Also, we observe that in the limit of low and high dimensionless frequency of modulation, ω ＜ 0.5 and ω ＞ 140, the basic state tends to a stable equilibrium configuration and for an intermediate dimensionless frequency, the system is potentially unstable. The results obtained from analytical asymptotic study for low and high dimensionless frequency are in good agreement with the numerical ones.

机译：研究了水平流体层在温度随时间变化时的对流不稳定性。温度梯度的固定分量被认为等于零，并且施加在水平边界上的振荡分量同相且具有相同的振幅。本文的目的是研究这种调制对对流不稳定性的影响。我们显示出，与在没有调制的情况下平衡构型稳定的情况不同，当水平边界处的温度同相调制时，我们会不稳定。此外，我们观察到在低和高无量纲调制频率的上限ω＜0.5和ω＞ 140的情况下，基本状态趋于稳定的平衡构型，而对于中等无量纲频率，系统可能会变得不稳定。从低和高无因次频率的分析渐近研究获得的结果与数值结果吻合良好。

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来源
《Journal of Heat Transfer》 |2016年第10期|102502.1-102502.8|共8页
作者
K. Souhar; S. Aniss;
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作者单位

Laboratory of Energy Engineering, Materials and Systems, ENSA, Ibn Zohr University, Agadir 80000, Morocco;

Laboratory of Mechanics, Faculty of Sciences, University Hassan Ⅱ Casablanca, 20100, Morocco;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
stability; convection; temperature modulation; asymptotic analysis;

机译：稳定性;对流;温度调制渐近分析;

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Effect of Phase Thermal Modulation Without Stationary Temperature Gradient on the Threshold of Convection

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