dc.contributor.author Plakhov, A. Y. dc.contributor.author Torres, D. dc.date.accessioned 2008-12-05T10:58:59Z dc.date.available 2008-12-05T10:58:59Z dc.date.issued 2005-06-01 dc.identifier.citation Plakhov , A Y & Torres , D 2005 , ' Newton's aerodynamic problem in media of chaotically moving particles ' Sbornik: Mathematics , vol 196 , no. 6 , pp. 885-933 . DOI: 10.1070/SM2005v196n06ABEH000904 en dc.identifier.issn 1064-5616 dc.identifier.other PURE: 88712 dc.identifier.other PURE UUID: fdd948e6-7778-4d30-84a8-f0aebb8cad96 dc.identifier.other dspace: 2160/1408 dc.identifier.uri http://hdl.handle.net/2160/1408 dc.description Plakhov, A.Y.; Torres, D., (2005) 'Newton's aerodynamic problem in media of chaotically moving particles', Sbornik: Mathematics 196(6) pp.885-933 RAE2008 en dc.description.abstract The problem of minimum resistance is studied for a body moving with constant velocity in a rarefied medium of chaotically moving point particles in the Euclidean space . The distribution of the velocities of the particles is assumed to be radially symmetric. Under additional assumptions on the distribution function a complete classification of the bodies of least resistance is carried out. In the case of dimension three or more there exist two kinds of solution: a body similar to the solution of the classical Newton problem and a union of two such bodies `glued together' along the rear parts of their surfaces. In the two-dimensional case there exist solutions of five distinct types: (a) a trapezium; (b) an isosceles triangle; (c) the union of an isosceles triangle and a trapezium with a common base; (d) the union of two isosceles triangles with a common base; (e) the union of two triangles and a trapezium. Cases (a)-(d) are realized for an arbitrary velocity distribution of the particles, while case (e) is realized only for some distributions. Two limit cases are considered: when the average velocity of the particles is large and when it is small in comparison with the velocity of the body. Finally, the analytic results so obtained are used for the numerical study of a particular case: the problem of the motion of a body in a rarefied homogeneous monatomic ideal gas of positive temperature in and in . en dc.format.extent 49 en dc.language.iso eng dc.relation.ispartof Sbornik: Mathematics en dc.rights en dc.title Newton's aerodynamic problem in media of chaotically moving particles en dc.type /dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article en dc.identifier.doi http://dx.doi.org/10.1070/SM2005v196n06ABEH000904 dc.contributor.institution Department of Physics en dc.contributor.institution Mathematics and Physics en dc.description.status Peer reviewed en
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