Nonlinear instability of Hele-Shaw flows with smooth viscous profiles
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We rigorously derive nonlinear instability of Hele-Shaw flows moving with a constant velocity in the presence of smooth viscosity profiles where the viscosity upstream is lower than the viscosity downstream. This is a single-layer problem without any material interface. The instability of the basic flow is driven by a viscosity gradient as opposed to conventional interfacial Saffman-Taylor instability where the instability is driven by a viscosity jump across the interface. Existing analytical techniques are used in this paper to establish nonlinear instability. © 2008 Elsevier Inc. All rights reserved.
author list (cited authors)
Daripa, P., & Hwang, H. J.