在斯托克斯流中的分散

C. Baudet, É. Guyon, Y. Pomeau
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引用次数: 14

摘要

我们首先考虑均匀施加速度场U中单个球体周围停留时间的分布,从而研究大佩雷数时颗粒状多孔介质中的几何色散效应。我们得到了U中色散的对数奇点,这是由于流场停滞点附近的缓慢流动造成的。这一特性与距驻点较远处的流动结构无关。因此,该结果可应用于随机稀球阵列(固定床)
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Dispersion dans un écoulement de Stokes
We approach the geometric dispersion effects in a granular porous medium at large Peclet numbers by first considering the distribution of residence times around a single sphere in a uniform applied velocity field U. We get a logarithmic singularity of the dispersion in U Log U which is due to the slow flow near the stagnation points of the flow field. This feature is independent of the flow structure at large distances from the stagnation points. Thus the result can be applied to a random dilute array of spheres (fixed bed) On decrit des effets singuliers de la dispersion geometrique dans un milieu poreux granulaire aux grands nombres de Peclet
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