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
KW - dimensional reduction
KW - fluid-structure interaction
KW - hyperviscosity
KW - low-Reynolds-number flow
KW - Slender-body theory
KW - dimensional reduction
KW - fluid-structure interaction
KW - hyperviscosity
KW - low-Reynolds-number flow
UR - https://publicatt.unicatt.it/handle/10807/59661
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84956893518&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84956893518&origin=inward
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
IS - 3
ER -