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arXiv · 1305.0707

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

Giulio G. Giusteri·Alfredo Marzocchi·Alessandro Musesti
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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.

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Giulio G. Giusteri, Alfredo Marzocchi, Alessandro Musesti. 2013-05-03. Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number. https://doi.org/10.3934/eect.2014.3.429

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