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Inertia and Roughness-Induced Effects on the Porous Medium Flow Through a Corrugated Channel

机译:惯性和粗糙度诱导的对多孔介质流过波纹通道的影响

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摘要

In this paper, we study the flow through a corrugated channel filled with a fluid-saturated sparsely packed porous medium. The porous medium flow is described by the Darcy-Lapwood-Brinkman system taking into account the Brinkman extension of the Darcy law and the flow inertia. We assume the periodicity of the roughness in the longitudinal direction and that the flow is governed by the prescribed pressure drop between the edges of the channel. Introducing average boundary roughness as the small parameter, we propose a higher-order correction of the Darcy-Brinkman filtration velocity via asymptotic analysis.
机译:在本文中,我们研究流过填充有流体饱和稀疏包装多孔介质的波纹通道的流动。达西 - 拉普伍德 - 布兰德制造系统描述了多孔介质流程,以考虑到达西法律和流动惯量的Brinkman延伸。我们假设纵向粗糙度的周期性,并且流动由通道边缘之间的规定压降控制。引入平均边界粗糙度作为小参数,我们提出了通过渐近分析的达西 - Brinkman过滤速度的高阶校正。

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