Article ID Journal Published Year Pages File Type
4992350 European Journal of Mechanics - B/Fluids 2017 16 Pages PDF
Abstract
Generalized Navier-Stokes-Darcy (GNSD) model is proposed to describe a viscous fluid displacement from a Hele-Shaw cell by a less viscous one. The key difference from conventional models is the presence of phase permeabilities in the equations of motions. In the absence of viscous differential and inertial terms, the proposed model is reduced to generalized Darcy's law for a Hele-Shaw cell. The law has been applied for linear stability analysis of a plane interface between two viscous fluids. An absolute instability of the interface-a classical result of Saffman and Taylor for short waves-is also valid under generalized Darcy's law. On the other hand, long wave disturbances can be absolutely stable-a new result, which does not follow from other models.
Related Topics
Physical Sciences and Engineering Chemical Engineering Fluid Flow and Transfer Processes
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