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首页> 外文期刊>Journal of engineering mathematics >Instability of two-layer flows with viscosity and density stratification
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Instability of two-layer flows with viscosity and density stratification

机译：双层流动的不稳定性，粘度和密度分层

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摘要

The three-dimensional linear stability characteristics of two-layer immiscible fluid with a free surface are considered, wherein a Newtonian fluid contains a small amount of sediment particles, and overlies a lower fluid that contents hyperconcentration of sediment. Rheological experiments are carried out on three kinds of artificial sediments with different silt-kaolin mixing ratios to study the rheological properties of the lower fluid. The results show that the rheological properties of the lower fluid conform to the power-law model. Based on this, the modified N-S and Squire equations in each layer are derived for the gravity-driven flow, which are calculated by using the finite difference method. The effect of various dimensionless parameters, such as the viscosity ratio (c_m), the density ratio (s), the power-law index (n), and the thickness ratio (h_s) on the instability characteristics of the flow is investigated. It is observed that increasing c_m, s and h_s is stabilizing for both long and short waves, which leads to an increase of the critical Reynolds number (Re_(wcr)), and a decrease of the bandwidth of the unstable wavenumbers. The disturbed velocities (u and w) are also decreased. Decreasing the shear-thinning tendency (increasing n) of the lower fluid is destabilizing for both long and short waves, which leads to a decrease of Re_(wcr) and an increase of the disturbed velocities.
机译：考虑具有自由表面的双层不混溶的流体的三维线性稳定性特性，其中牛顿液含有少量的沉积物颗粒，并覆盖沉积物的超浓度的下部流体。流变实验在三种人造沉积物上进行，具有不同的淤泥 - 高岭土混合比例研究下流体的流变性质。结果表明，下流体的流变性能符合电力法模型。基于此，对于通过使用有限差分方法计算的重力驱动流程来导出每个层中的修改的N-S和遮量方程。研究了各种无量纲参数，例如粘度比（C_M），密度比，电力法指数（N）和厚度比（H_S）的效果。观察到，增加C_M，S和H_S对长度和短波稳定，这导致临界雷诺数（RE_（WCR））的增加，以及不稳定波数的带宽的降低。干扰的速度（U和W）也降低。降低下流体的剪切稀释趋势（增加N）对于长度和短波两者而言，这导致RE_（WCR）的减少和扰动速度的增加。

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