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Magnus effect and dynamics of a spinning disc in a rarefied medium

Mishuris G., Plakhov A.

Archives of Mechanics

2009

Vol. 61, nr 5

391-406

Magnus effect consists in deflection of the trajectory of a rotating body moving in a gas. It is a direct consequence of the interaction between the body surface and the gas particles. In this paper, we study the so-called inverse Magnus effect which can be observed in rarefied gases. We restrict ourselves to the two-dimensional case, namely a spinning disc moving through a sparse zero-temperature medium. We consider general non-elastic interaction between the disc and the particles depending on the incidence angle. We give a classification of auxiliary parameters with respect to possible dynamical response. In the absence of other forces, three kinds of trajectories are possible: (i) a converging spiral, (ii) a curve converging to a straight line and (iii) a circumference, the case intermediate between the two first ones. A specific 2-D parameter space has been introduced to provide respective classification.

Anisotropic gas transfer through the composite membranes

Kurchatov I. M., Laguntsov N. I., Okunev A. Y., Pisarev G. I., Tronin V. N., Uvarov V. I.

Ars Separatoria Acta

2007

No. 5

45-54

Using of stochastic dynamics methods, the probability distribution function of molecules by their moving directions in arbitrary porous media, where free molecular flow takes place, was determined. It was shown that, in some cases, the molecules in the channel can generally move athwart the channel, while an average velocity of molecules moving along the channel can significantly decrease. The anisotropic phenomenon and the hysteresis of permeability through composite asymmetric membranes were qualitatively explained.