Monday, May 6, 2013

1305.0707 (Giulio G. Giusteri et al.)

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

Giulio G. Giusteri, Alfredo Marzocchi, Alessandro Musesti
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.
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