Abstract: 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.

Cite: 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

Original: 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

Identifiers:

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

Citing: Пока нет цитирований

Altmetrics: