On a Generalized Two-Fluid Hele-Shaw Flow
Vladimir Entov, Pavel Etingof
TL;DR
This paper introduces a method for constructing exact solutions to free boundary problems in Hele-Shaw flows influenced by external fields, including electrokinetic effects, with general approach and specific examples.
Contribution
It presents a novel method for exact solutions in Hele-Shaw flows with external fields, expanding analytical tools for complex fluid dynamics scenarios.
Findings
Method successfully constructs exact solutions
Applicable to electrokinetic Hele-Shaw flows
Provides multiple illustrative examples
Abstract
We propose a method of construction of exact solutions of free boundary problems corresponding to Hele-Shaw flows in presence of an external field. Such a field may arise, in particular, due to electrokinetic phenomena. Both a general approach and a number of examples are presented.
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Taxonomy
TopicsCharacterization and Applications of Magnetic Nanoparticles · Fluid Dynamics and Turbulent Flows · Lattice Boltzmann Simulation Studies