Rubric: "1.1.9. Mechanics of liquid, gas and plasma (physical and mathematical sciences)"
Abdikarimov N. I. (Ургенчский государственный университет Адрес: 220100, Узбекистан, город Ургенч, улица Х. Олимжона, 14.), Navruzov K. N. (Ургенчский государственный университет Адрес: 220100, Узбекистан, город Ургенч, улица Х. Олимжона, 14.)
doi: 10.18698/2309-3684-2024-2-3545
The problems of oscillatory flow of an elastic-viscous fluid in a flat channel for a given harmonic oscillation of fluid flow are solved based on the generalized Maxwell model. The “impedance” function was determined, and with the help of this function the dependence of the hydrodynamic resistance on the dimensionless oscillation frequency was studied for various values of the elastic Deborah number and the concentration of the Newtonian fluid. It is shown that in the oscillatory flow of an elastic-viscous fluid, the hydrodynamic resistance decreases depending on the Deborah number. This effect makes it possible to estimate the hydrodynamic resistance for a given law of change in the longitudinal velocity averaged over the cross section of the channel, with oscillatory flow and, thereby, allows us to determine the dissipation of the energy of the medium, which is important in the regulation of hydraulic and pneumatic systems.
Абдикаримов Н.И., Наврузов К.Н. Математическое моделирование гидродинамических сопротивлений при колебательном течении упруговязкой жидкости в плоском канале. Математическое моделирование и численные методы, 2024, № 2, с. 35–45.
Lopato A. I. (Institute for Computer Aided Design of the Russian Academy of Sciences)
doi: 10.18698/2309-3684-2024-3-6580
The work is dedicated to the numerical study of pulsating gaseous detonation wave propagation. The mathematical model is based on the Euler equations written for the multicomponent gas and supplemented by the detailed chemical reactions model of Petersen and Hanson. to describe the combustion of the hydrogen–air mixture. This kinetics model is effective and efficient in describing processes in hydrogen-air and hydrogen-oxygen mixtures. The numerical algorithm is based on the finite volume approach, essentially non-oscillatory scheme, AUSM numerical flux and the Runge–Kutta method for time integration. Direct initiation of detonation at the closed end of a channel filled with a stoichiometric hydrogen-air mixture is considered. Mathematical modeling of the propagation of a pulsating detonation wave was carried out. The peculiarities of high-frequency and high-amplitude pulsations modes are discussed.
Лопато А.И. Математическое моделирование распространения пульсирующей волны газовой детонации в водородно-воздушной смеси с использованием детальной кинетики химических реакций. Математическое моделирование и численные методы, 2024, № 3, с. 65–80.