Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number

Alfredo Marzocchi, Alessandro Musesti, Giulio Giuseppe Giusteri

Research output: Contribution to journalArticle

Abstract

The paper is devoted to the study of the motion of one-dimensional rigid bodies during a free fall in a quasi-Newtonian hyperviscous fluid at low Reynolds number. We show the existence of a steady solution and furnish sufficient conditions on the geometry of the body in order to get purely translational motions. Such conditions are based on a generalized version of the so-called Reciprocal Theorem for fluids.
Original languageEnglish
Pages (from-to)429-445
Number of pages17
JournalEvolution Equations and Control Theory
Volume3
DOIs
Publication statusPublished - 2014

Keywords

  • Slender-body theory, low-Reynolds-number flow, hyperviscosity, fluid-structure interaction, dimensional reduction

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