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LBM Investigation of Immiscible Displacement in a Channel with Regular Surface Roughness

机译：LBM研究具有规则表面粗糙度的通道中的不混溶位移

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We investigated immiscible displacement in a channel considering regular surface roughness at walls. A color-fluid LBM code is developed and validated against the Hagen-Poiseuille flow before it is employed for simulating the displacement process. The dimensionless roughness height and roughness spacing ratio are defined to characterize the surface roughness. The simulation results show that the presence of surface roughness obviously impels a finger formation in a channel. The impelling effect is more significant at larger roughness heights and medium roughness spacing ratios. The critical capillary number and viscosity ratio of a finger formation is reduced with increasing roughness height. The obvious effect of wettability on the finger development in a smooth channel is attenuated in rough channels. The attenuation magnitude increases with increasing roughness height.
机译：考虑壁的规则表面粗糙度，我们研究了通道中的不混溶位移。在使用Hagen-Poiseuille流模拟位移过程之前，开发并验证了一种颜色流体LBM代码。定义无因次粗糙度高度和粗糙度间距比以表征表面粗糙度。仿真结果表明，表面粗糙度的存在明显促进了通道中的指形。在较大的粗糙度高度和中等的粗糙度间距比下，这种促进作用更为显着。指状结构的临界毛细管数和粘度比随粗糙度高度的增加而降低。光滑通道中润湿性对手指发育的明显影响在粗糙通道中减弱。衰减量随粗糙度高度的增加而增加。

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