On the growth rate for three-layer Hele-Shaw flows: variable and constant viscosity cases

DOI10.1016/j.ijengsci.2005.03.006zbMath1211.76045OpenAlexW2004761266MaRDI QIDQ534074

Gelu I. Paşa, Prabir K. Daripa

Publication date: 17 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2005.03.006

zbMATH Keywords

linear stabilitySturm-Liouville problemdispersion relationthree-layer Hele-Shaw flows

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (7)

Studies on stability in three-layer Hele-Shaw flows ⋮ A paradox in Hele-Shaw displacements ⋮ On diffusive slowdown in three-layer Hele-Shaw flows ⋮ Asymptotics for the Muskat problem ⋮ A simple derivation of an upper bound in the presence of a viscosity gradient in three-layer Hele-Shaw flows ⋮ Hydrodynamic stability of multi-layer Hele-Shaw flows ⋮ A study of a non-standard eigenvalue problem and its application to three-layer immiscible porous media and Hele-Shaw flows with exponential viscous profile

Cites Work

• New bounds for stabilizing Hele-Shaw flows
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A Theory of the Optimal Policy of Oil Recovery by Secondary Displacement Processes
• An optimal viscosity profile in the secondary oil recovery

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