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.
Giusteri, G. G., Marzocchi, A., Musesti, A., Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number, <<EVOLUTION EQUATIONS AND CONTROL THEORY>>, 2014; 3 (3): 429-445. [doi:10.3934/eect.2014.3.429] [http://hdl.handle.net/10807/59661]
Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number
Giusteri, Giulio Giuseppe;Marzocchi, Alfredo;Musesti, Alessandro
2014
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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