New bounds for stabilizing Hele-Shaw flows
type: Item
instance of: scholarly article
title: New bounds for stabilizing Hele-Shaw flows
zbMATH Open document ID: 1125.76023
author: Gelu Paşa
author: Prabir Daripa
published in: Applied Mathematics Letters
publication date: 2006-01-24T00:00:00Z
review text: The authors provide an upper bound on the interfacial growth rate of instabilities in the presence of an intermediate layer. They then make use of this upper bound to provide lower bounds on the length of the intermediate layer and the amount of polymer required for supressing the Saffman-Taylor instabilities to a prescribed level. The authors also provide the corresponding viscosity of the polysolution at the leading front displacing the fluid as well as the bounds on the admissible viscosity profiles of the polysolution in the intermediate layer.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 76D27
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 5001446
zbMATH Keywords: Saffman-Taylor instability
zbMATH Keywords: Hele-Shaw flows
zbMATH Keywords: tertiary displacement processes
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: dispersion problem
MaRDI profile type: Publication
full work available at URL: j.aml.2005.02.027
OpenAlex ID: W2114658064
cites work: The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
cites work: A Theory of the Optimal Policy of Oil Recovery by Secondary Displacement Processes
cites work: Polymer Floods: A Case Study of Nonlinear Wave Analysis and of Instability Control in Tertiary Oil Recovery
cites work: An optimal viscosity profile in the secondary oil recovery
cites work: A modified Green's function to estimate the interface stability in oil recovery
cites work: An existence theorem for a control problem in oil recovery
cites work: Q3896709
DOI: 10.1016/J.AML.2005.02.027
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description: scientific article; zbMATH DE number 5001446