Open AccessSpherically symmetric stationary flows of a gas suspension
Author(s) -
С. М. Воронин,
A. V. Panov,
М. М. Turov
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1404/1/012051
Subject(s) - suspension (topology) , mechanics , physics , dispersion (optics) , isothermal process , classical mechanics , mode (computer interface) , stationary state , motion (physics) , relaxation (psychology) , dynamics (music) , thermodynamics , mathematics , optics , quantum mechanics , homotopy , pure mathematics , psychology , social psychology , computer science , acoustics , operating system
The dynamics of an isothermal gas suspension is studied. A spherically symmetric stationary submodel is derived and partially integrated. In a barochronous case, this submodel is fully integrated and results are discussed. Different modes of motion are analytically described in the barochronous case. The interpretation of the solutions is proposed. We highlight three essentially different modes of motion. In the first mode, we have a dispersion of gas suspension from the origin with a relaxation of velocities and leading to the uniform motion. In the second mode, phases focus in the origin with finite nonzero velocities and infinitely increasing densities. In the third mode, phases are interpenetrating to each other and decelerating due to the friction force, that leads to an accumulation of particles and an unlimited increase of densities in different nonzero raduises with zero velocities.