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Effect of non-uniform basic temperature gradient on the onset of Marangoni convection in a fluid with suspended particles

机译：基本温度梯度不均匀对悬浮颗粒流体中马兰戈尼对流的影响

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摘要

The effect of a non-uniform basic temperature gradient on the onset of convection driven by surface tension in a horizontal layer of a Boussinesq fluid with suspended particles confined between an upper free, constant heat flex boundary and a lower rigid isothermal boundary is considered. The microrotation is assumed to vanish at the boundaries. A linear stability analysis is performed. The Rayleigh-Ritz technique is used to obtain the eigenvalues. The influence of various parameters on the onset of convection has been analyzed. Six different non-uniform basic state temperature profiles are considered and their comparative influence on Onset is discussed. It is observed that the fluid layer with suspended particles heated from below is more stable Compared to the classical fluid layer without suspended particles. The problem has possible applications in Microgravity situations.
机译：考虑了不均匀的基本温度梯度对Boussinesq流体水平层中表面张力驱动的对流开始的影响，该流体的悬浮颗粒被限制在较高的自由，恒定热挠度边界和较低的刚性等温边界之间。假定微旋转在边界处消失。进行线性稳定性分析。瑞利-里兹技术被用来获得特征值。分析了各种参数对流爆发的影响。考虑了六个不同的非均匀基本状态温度曲线，并讨论了它们对起爆的比较影响。观察到，与没有悬浮颗粒的经典流体层相比，具有从下方加热的悬浮颗粒的流体层更稳定。该问题在微重力情况下可能有应用。

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