Dynamics of a Crankshaft Mechanism under the Pressure of a Viscous Gas | Sciact

Dynamics of a Crankshaft Mechanism under the Pressure of a Viscous Gas Научная публикация

Журнал

Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438

Вых. Данные

Год: 2020, Том: 310, Номер: 1, Страницы: 220-249 Страниц : 30 DOI: 10.1134/s0081543820050181

Ключевые слова

crankshaft mechanism; inhomogeneous boundary conditions; viscous gas; weak solutions

Авторы

Plotnikov P.I. ¹ , Sokołowski J. ²

Организации

1	Lavrentyev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences
2	Systems Research Institute of the Polish Academy of Sciences

We study an initial–boundary value problem with free boundary for one-dimensional equations of viscous gas dynamics. The problem models the motion of a crankshaft mechanism under gas pressure. It is assumed that the gas fills a cylinder, which is modeled by the interval [0,1]. A variable point $(t)ε[0,1] models a piston moving inside the cylinder. The piston is assumed to be connected to a planar three-link crankshaft mechanism. We also assume that a velocity distribution on the boundary of the cylinder and a density distribution on gas inflow segments are given. The gas motion is described by the one-dimensional Navier–Stokes equations of viscous compressible fluid dynamics. It is required to determine the joint motion of the gas and crankshaft mechanism. We prove that this problem has a weak renormalized solution.

Plotnikov P.I. , Sokołowski J.
Dynamics of a Crankshaft Mechanism under the Pressure of a Viscous Gas
Proceedings of the Steklov Institute of Mathematics. 2020. V.310. N1. P.220-249. DOI: 10.1134/s0081543820050181 WOS Scopus РИНЦ OpenAlex

Плотников П.И. , Соколовский Я.
ДИНАМИКА КРИВОШИПНО-ШАТУННОГО МЕХАНИЗМА ПОД ДЕЙСТВИЕМ ДАВЛЕНИЯ ВЯЗКОГО ГАЗА
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМЕНИ В.А. СТЕКЛОВА. 2020. Т.310. С.237-266. DOI: 10.4213/tm4095 РИНЦ OpenAlex

Web of science:	WOS:000595790500018
Scopus:	2-s2.0-85097041549
РИНЦ:	45106954
OpenAlex:	W3111577562

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