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This paper presents numerical and analytical investigation of gas flow in gas-dynamic filter - a device for cleaning gas from solid particles with counter flow of large water particles in order to prevent their release to the atmosphere.…

Numerical Analysis · Mathematics 2025-10-20 Ulyan G. Pirumov

Interfacial phenomena associated with fluid adsorption in two dimensional systems has recently been shown to exhibit hidden symmetries, or covariances, which precisely relate local adsorption properties in different confining geometries. We…

Statistical Mechanics · Physics 2009-11-10 C. Rascon , A. O. Parry

We propose a many-particle-inspired theory for granular outflows from a hopper and for the escape dynamics through a bottleneck based on a continuity equation in polar coordinates. If the inflow is below the maximum outflow, we find an…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Anders Johansson , Joachim Mathiesen , Mogens H. Jensen , Alex Hansen

Helical symmetry is invariance under a one-dimensional group of rigid motions generated by a simultaneous rotation around a fixed axis and translation along the same axis. The key parameter in helical symmetry is the step or pitch, the…

The shock formation process in shock tubes has been extensively studied; however, significant gaps remain in understanding the effects of the diaphragm rupture process on the resulting flow non-uniformities. Existing models predicting the…

Fluid Dynamics · Physics 2025-10-07 Touqeer Anwar Kashif , Janardhanraj Subburaj , Aamir Farooq

We study an exclusion process with 4 segments, which was recently introduced by T Banerjee, N Sarkar and A Basu [J. Stat. Mech. (2015) P01024]. The segments have hopping rates 1, r(<1), 1 and r, respectively. In a certain parameter region,…

Statistical Mechanics · Physics 2015-12-01 Chikashi Arita

This paper concerns the structural stability of smooth cylindrical symmetric transonic flows in a concentric cylinder under helically symmetric perturbation of suitable boundary conditions. The deformation-curl decomposition developed by…

Analysis of PDEs · Mathematics 2024-03-20 Yi Ke , Shangkun Weng

In this paper, we characterize a class of solutions to the unsteady 2-dimensional flow of a van der Waals fluid involving shock waves, and derive an asymptotic amplitude equation exhibiting quadratic and cubic nonlinearities including…

Mathematical Physics · Physics 2017-10-11 Neelam Gupta , V. D. Sharma

Steady fluid flows have very special topology. In this paper we describe necessary and sufficient conditions on the vorticity function of a 2D ideal flow on a surface with or without boundary, for which there exists a steady flow among…

Symplectic Geometry · Mathematics 2015-11-19 Anton Izosimov , Boris Khesin

Previously, we established a connection between the macroscopic classical laws of gases and the quantum mechanical description of molecules of an ideal gas (T. Yarman et al. arXiv:0805.4494). In such a gas, the motion of each molecule can…

Classical Physics · Physics 2009-06-08 Metin Arik , Tolga Yarman , Alexander L. Kholmetskii

A recently proposed extension of the interaction flow method is applied to exemplary cases of selected physical and methodical parameters for the two-dimensional Hubbard model away from half-filling and perfect nesting. In this scheme, the…

Strongly Correlated Electrons · Physics 2022-02-15 Daniel Rohe

In this paper, we are concerned with the instability problem of a 3-D transonic oblique shock wave for the steady supersonic flow past an infinitely long sharp wedge. The flow is assumed to be isentropic and irrotational. It was indicated…

Analysis of PDEs · Mathematics 2014-07-22 Li Liang , Xu Gang , Yin Huicheng

We investigate the steady inviscid compressible self-similar flows which depends only on the polar angle in spherical coordinates. It is shown that besides the purely supersonic and subsonic self-similar flows, there exists purely sonic…

Analysis of PDEs · Mathematics 2025-01-20 Shangkun Weng , Hongwei Yuan

In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the strong imploding shock waves propagating in a non-ideal gas is obtained by using the geometrical shock dynamics theory. The equation of state…

High Energy Astrophysical Phenomena · Physics 2013-06-05 R. K. Anand

We consider the time-dependent statistical distributions of diffusive processes in relaxation to a stationary state for simple, two dimensional chaotic models based upon random walks on a line. We show that the cumulative functions of the…

Chaotic Dynamics · Physics 2013-07-15 T. Gilbert , J. R. Dorfman , P. Gaspard

This study aims to shed light on hypersonic attachment-line instabilities with large sweep Mach numbers. Highly swept flows over a cold cylinder that give rise to large sweep Mach numbers are studied. High fidelity base flows are obtained…

Fluid Dynamics · Physics 2021-07-01 Youcheng Xi , Jie Ren , Song Fu

A superfluid in the absence of the viscous normal component should be the best realization of an ideal inviscid Euler fluid. As expressed by d'Alembert's famous paradox, an ideal fluid does not exert drag on bodies past which it flows, or…

Other Condensed Matter · Physics 2013-03-20 J. J. Hosio , V. B. Eltsov , P. J. Heikkinen , R. Hänninen , M. Krusius , V. S. L'vov

We investigate the shock-induced flow through random particle arrays using particle-resolved Large Eddy Simulations for different incident shock wave Mach numbers, particle volume fractions and particle sizes. We analyze trends in mean flow…

We show that equations of Newtonian hydrodynamics and gravity describing one-dimensional steady gas flow possess nonlinear periodic solutions. In the case of a zero-pressure gas the solution exhibits hydrodynamic similarity and is…

Astrophysics of Galaxies · Physics 2019-06-26 Eugene B. Kolomeisky

We investigate stationary gas flows in a fixed, rotating barred potential. The gas is assumed to be isothermal with an effective sound speed c_s, and the equations of motion are solved with smoothed particle hydrodynamics (SPH). Since the…

Astrophysics · Physics 2015-06-24 Peter Englmaier , Ortwin Gerhard