Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number
arXiv:1305.0707 · doi:10.3934/eect.2014.3.429
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.