Abstract
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.
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Wang, M., Xiong, Y., Liu, L. et al. LBM Investigation of Immiscible Displacement in a Channel with Regular Surface Roughness. Transp Porous Med 123, 195–215 (2018). https://doi.org/10.1007/s11242-018-1032-3
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DOI: https://doi.org/10.1007/s11242-018-1032-3