Abstract

The presented work is devoted to one problem of hydrodynamic stability of a thermoviscous fluid. The stability of the flow of a 45\(\%\) aqueous solution of propylene glycol in a plane channel with a linear temperature distribution was considered. The solution of the obtained generalized Orr-Sommerfeld equation was carried out using the spectral method of expanding the sought functions in terms of the first kind Chebyshev polynomials. As a result of calculations, the distributions of eigenvalues were constructed for different parts of the curve of the dependence of viscosity on the temperature of the liquid under consideration, in each case the critical Reynolds numbers and eigenfunctions were determined. It was found that taking into account the dependence of the viscosity on the temperature of the liquid leads to an increase in the region of unstable flow regimes in the channels of heat exchangers.

中文翻译：

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平面换热器通道中冷却剂流动的层流-湍流转变特征

摘要

所提出的工作致力于解决热粘性流体的流体动力学稳定性问题。流的稳定性 45 \(\%\)考虑了具有线性温度分布的平面通道中的丙二醇水溶液。使用根据第一类切比雪夫多项式展开所求函数的谱方法来求解所获得的广义Orr-Sommerfeld方程。作为计算的结果，针对所考虑的液体温度的粘度依赖性曲线的不同部分构建了特征值的分布，在每种情况下确定了临界雷诺数和特征函数。发现考虑到粘度对液体温度的依赖性会导致换热器通道中不稳定流态区域的增加。