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首页> 外文期刊>Experiments in Fluids: Experimental Methods and Their Applications to Fluid Flow >An experimental study of miscible displacement with gravity-override and viscosity-contrast in a Hele Shaw cell
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An experimental study of miscible displacement with gravity-override and viscosity-contrast in a Hele Shaw cell

机译：Hele Shaw池中具有重力覆盖和粘度对比的可混溶位移的实验研究

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An experimental investigation of miscible displacements at constant volume flow-rate under the coupled effects of mobility contrast and gravitational segregation has been performed in a Hele Shaw cell having an aspect ratio, width to length, of 1:2. While the viscosity ratio was large (M > 180), the experiments covered both the neutrally buoyant case through to gravity-override-dominated unstable displacements. Dependence of the global displacement properties on the Gravity number (G) and the Peclet number (Pe) were quantified using a flow visualization technique. Within the experiment's parameter range, no matter how complex the finger patterns became, and independent of G, the area grew linearly in time. As a result, the thickness of the injected less dense and less viscous fluid was almost constant at a value of 0.5-0.58 of the cell thickness with a weak dependence on Peclet number. Based on transversely averaged concentration profiles, the dependence of the average finger length was investigated and it also grew linearly in time. The displacement efficiency and breakthrough time decreased with increase of G, while the longitudinal finger growth rate increased with G. The averaged finger width followed the opposite trend and decreased as G increased. Velocity of the leading fingertip grew linearly with G at fixed Pe. The larger the value of Pe, the faster fingertips spread. As was to be expected, the larger the gravity number, the larger the global tilting of the whole finger pattern. The fractal dimension of the distorted interface at breakthrough was investigated, and it varied from 1.54 for the neutrally buoyant case to 1.08 for the gravity override dominated case.
机译：在迁移率对比和重力分离的耦合作用下，在体积比恒定，体积比为1：2的Hele Shaw单元中进行了可混溶位移的实验研究。尽管粘度比很大（M> 180），但实验涵盖了从中性浮力到重力覆盖为主的不稳定位移。使用流动可视化技术量化了整体位移属性对重力数（G）和佩克利数（Pe）的依赖性。在实验的参数范围内，无论指形变得多么复杂，并且与G无关，面积随时间线性增长。结果，注入的密度较小和粘性较小的流体的厚度几乎恒定，为泡孔厚度的0.5-0.58，对Peclet数的依赖性较小。根据横向平均浓度曲线，研究了平均手指长度的依赖性，并且该线性关系随时间呈线性增长。位移效率和穿透时间随G的增加而减小，而手指的纵向生长速率随G的增加而增加。平均手指宽度遵循相反的趋势，并随着G的增加而减小。指尖的力度随着固定Pe处的G线性增长。 Pe值越大，指尖扩散越快。如所预期的，重力数越大，整个手指图案的整体倾斜越大。研究了穿透时变形界面的分形维数，从中性浮力情况下的1.54到重力优先控制情况下的1.08不等。

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