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• W2166333041 abstract "We present a nonlinear unsteady Darcy's equation which includes inertial effects for flows in a porous medium or Hele-Shaw cell and discuss the conditions under which it reduces to the classical Darcy's law. In the absence of surface tension we derive a generalized Polubarinova–Galin equation in a circular geometry, using the method of conformal mapping. The linear stability of the base-flow state is examined by perturbing the corresponding conformal map. We show that inertia always has a tendency to stabilize the interface, regardless of whether a less viscous fluid is displacing a more viscous fluid or vice versa." @default.
• W2166333041 created "2016-06-24" @default.
• W2166333041 creator A5079415900 @default.
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• W2166333041 date "2011-01-26" @default.
• W2166333041 modified "2023-09-29" @default.
• W2166333041 title "Inertial effects on viscous fingering in the complex plane" @default.
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• W2166333041 doi "https://doi.org/10.1017/s0022112010005859" @default.
• W2166333041 hasPublicationYear "2011" @default.
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