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We explore self-similar hydrodynamic evolution of central voids embedded in an isothermal gas of spherical symmetry under the self-gravity. More specifically, we study voids expanding at constant radial speeds in an isothermal gas and…

Solar and Stellar Astrophysics · Physics 2009-08-11 Yu-Qing Lou , Xiang Zhai

We study the self-similar magnetohydrodynamics (MHD) of a quasi-spherical expanding void (viz. cavity or bubble) in the centre of a self-gravitating gas sphere with a general polytropic equation of state. We show various analytic asymptotic…

Astrophysics of Galaxies · Physics 2009-11-09 Yu-Qing Lou , Ren-Yu Hu

In the presence of self-gravity, we investigate the self-similar dynamics of a relativistically hot gas with or without shocks in astrophysical processes of stellar core collapse, formation of compact objects, and supernova remnants with…

Astrophysics · Physics 2009-11-13 Yu-Qing Lou , Yi Cao

Self-similar shock solutions in spherically symmetric polytropic gas flows are constructed and analyzed in contexts of proto-star formation processes. Among other possible solutions, we model a similarity shock across the sonic critical…

Astrophysics · Physics 2009-11-11 Yu-Qing Lou , Yang Gao

We explore large-scale hydrodynamics of H II regions for various self-similar shock flows of a polytropic gas cloud under self-gravity and with quasi-spherical symmetry. We formulate cloud dynamics by invoking specific entropy conservation…

Astrophysics · Physics 2009-11-13 Ren-Yu Hu , Yu-Qing Lou

We explore semi-complete self-similar solutions for the polytropic gas dynamics involving self-gravity under spherical symmetry, examine behaviours of the sonic critical curve, and present new asymptotic collapse solutions that describe…

Astrophysics · Physics 2009-11-11 Yu-Qing Lou , Wei-Gang Wang

We study the hydrodynamic self-similar mass collapses of general polytropic (GP) spherical clouds to central Schwarzschild black holes and void evolution with or without shocks. In order to grossly capture characteristic effects of general…

Solar and Stellar Astrophysics · Physics 2014-03-04 Biao Lian , Yu-Qing Lou

Inspired on the well known dynamical dichotomy predicted in voids, where some underdense regions expand whereas others collapse due to overdense surrounding regions, we explored the interplay between the void inner dynamics and its large…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-30 A. N. Ruiz , D. J. Paz , M. Lares , H. E. Luparello , L. Ceccarelli , D. G. Lambas

We obtain two equations (following from two different approaches) for the density profile in a self-gravitating polytropic cylindrically symmetric and rotating turbulent gas disk. The adopted physical picture is appropriate to describe the…

Astrophysics of Galaxies · Physics 2023-12-07 S. Donkov , I. Zh. Stefanov , T. V. Veltchev , R. S. Klessen

A new dynamical solution for a gas sphere under self-gravity is presented to describe a development of a gas sphere from a motion-less state to a state of expansion with a constant speed and a reflection phenomenon in the dynamics of the…

Astrophysics · Physics 2009-11-10 Souichi Murata , Kazuhiro Nozaki

We have designed and constructed an experimental system to study gas bubble growth in slightly supersatu- rated liquids. This is achieved by working with carbon dioxide dissolved in water, pressurized at a maximum of 1 MPa and applying a…

Direct numerical simulations are utilised to investigate mass transfer processes at gas-evolving electrodes that experience successive formation and detachment of bubbles. The gas-liquid interface is modeled employing an Immersed Boundary…

Fluid Dynamics · Physics 2023-10-23 Farzan Sepahi , Roberto Verzicco , Detlef Lohse , Dominik Krug

With the motivation in mind to evaluate the contribution of the cosmological constant $\Lambda$ on the foam like patterns formation process in the distribution of galaxies, we investigate the Newtonian dynamics of a spherical void embedded…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Triay , Henri-Hugues Fliche

The piston shock problem is a prototypical example of strongly nonlinear fluid flow that enables the experimental exploration of fluid dynamics in extreme regimes. Here we investigate this problem for a nominally dissipationless, superfluid…

Quantum Gases · Physics 2018-11-09 Maren E. Mossman , Mark A. Hoefer , Keith Julien , Panos G. Kevrekidis , Peter Engels

We report on experimental observations of the bending of a dust acoustic shock wave around a dust void region. This phenomenon occurs as a planar shock wavefront encounters a compressible obstacle in the form of a void whose size is larger…

Propagation of strong shock wave in the expanding universe is studied using approximate analytic, and exact numerical solution of self-similar equations. Both solutions have similar properties, which change qualitatively, depending on the…

General Relativity and Quantum Cosmology · Physics 2021-01-28 G. S. Bisnovatyi-Kogan , S. A. Panafidina

This paper is mainly concerned with the free boundary problem for an approximate model (for example, arising from the study of sonoluminescence) of a gas bubble of finite mass enclosed within a bounded incompressible viscous liquid,…

Analysis of PDEs · Mathematics 2024-08-30 Chengchun Hao , Tao Luo , Siqi Yang

The blast caused by an intense explosion has been extensively studied in conservative fluids, where the Taylor-von Neumann-Sedov hydrodynamic solution is a prototypical example of self-similarity driven by conservation laws. In dissipative…

Statistical Mechanics · Physics 2016-03-24 Matthieu Barbier , Dario Villamaina , Emmanuel Trizac

We study the evolution of radiating and viscous fluid spheres assuming an additional homothetic symmetry on the spherically simmetric space--time. We match a very simple solution to the symmetry equations with the exterior one (Vaidya). We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 W. Barreto , J. Ovalle , B. Rodriguez

The development of a bubble plume from a vertical gas-evolving electrode is driven by buoyancy and hydrodynamic bubble dispersion. This canonical fluid mechanics problem is relevant for both thermal and electrochemical processes. We adopt a…

Fluid Dynamics · Physics 2024-11-20 N. Valle , J. W. Haverkort
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