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首页> 外文期刊>Journal of Applied Mechanics and Technical Physics >Flow of a viscous fluid past a heterogeneous porous sphere at low Reynolds numbers
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Flow of a viscous fluid past a heterogeneous porous sphere at low Reynolds numbers

机译：低雷诺数下粘性流体流过非均质多孔球体

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摘要

A flow past a heterogeneous porous sphere is investigated by using the perturbation theory. The flow through the sphere is divided into two zones, which are fully saturated with the viscous fluid, and the flow in these zones is governed by the Brinkman equation. The space outside the sphere, where a clear fluid flows, is also divided into two zones: the Navier-Stokes zone and the Oseen flow zone. The solutions on the interface inside the sphere are matched with the condition proposed by Merrikh and Mohammad. The stream function in the Navier-Stokes zone is matched with that on the sphere surface by the condition proposed by Ochoa-Tapia and Whitaker. It is found that the drag on the spherical shell decreases as the permeability toward the sphere boundary increases.
机译：通过微扰理论研究了通过非均质多孔球体的流动。通过球体的流动分为两个区域，它们被粘性流体完全饱和，这些区域中的流动由Brinkman方程控制。透明流体在球体外部流动的空间也分为两个区域：Navier-Stokes带和Oseen流带。球内界面上的解与Merrikh和Mohammad提出的条件相匹配。在Ochoa-Tapia和Whitaker提出的条件下，Navier-Stokes区的流函数与球体表面的流函数匹配。发现随着朝向球体边界的渗透率增加，球壳上的阻力减小。

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