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

Giulio Giuseppe Giusteri; Alfredo Marzocchi; Alessandro Musesti

doi:10.3934/eect.2014.3.429

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

Giulio Giuseppe Giusteri, Alfredo Marzocchi, Alessandro Musesti

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	429-445
Number of pages	17
Journal	Evolution Equations and Control Theory
Volume	3
DOIs	https://doi.org/10.3934/eect.2014.3.429
Publication status	Published - 2014

Keywords

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

Access to Document

10.3934/eect.2014.3.429

Cite this

@article{0c86cc2acd124d19a929fc61b2511ab2,

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

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.",

keywords = "Slender-body theory, low-Reynolds-number flow, hyperviscosity, fluid-structure interaction, dimensional reduction, Slender-body theory, low-Reynolds-number flow, hyperviscosity, fluid-structure interaction, dimensional reduction",

author = "Giusteri, {Giulio Giuseppe} and Alfredo Marzocchi and Alessandro Musesti",

year = "2014",

doi = "10.3934/eect.2014.3.429",

language = "English",

volume = "3",

pages = "429--445",

journal = "Evolution Equations and Control Theory",

issn = "2163-2480",

publisher = "American Institute of Mathematical Sciences",

}

TY - JOUR

T1 - Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number

AU - Giusteri, Giulio Giuseppe

AU - Marzocchi, Alfredo

AU - Musesti, Alessandro

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

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

UR - http://hdl.handle.net/10807/59661

U2 - 10.3934/eect.2014.3.429

DO - 10.3934/eect.2014.3.429

M3 - Article

SN - 2163-2480

VL - 3

SP - 429

EP - 445

JO - Evolution Equations and Control Theory

JF - Evolution Equations and Control Theory

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this