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This paper concerns compressible subsonic jet flows for a given surrounding pressure from a two-dimensional finitely long convergent nozzle with straight solid wall, which are governed by a free boundary problem for a quasilinear elliptic…

Analysis of PDEs · Mathematics 2019-02-08 Chunpeng Wang , Zhouping Xin

We address the linear stability of a discontinuous surface of a relativistic flow in the context of a jet that oscillates radially as it propagates. The restoring force of the oscillation is expected to drive a Rayleigh-Taylor instability…

High Energy Astrophysical Phenomena · Physics 2017-09-20 Jin Matsumoto , Miguel A. Aloy , Manel Perucho

We explore the velocity fluctuations in a fluid due to a dilute suspension of randomly-distributed vortex rings at moderate Reynolds number, for instance those generated by a large colony of jellyfish. Unlike previous analysis of velocity…

Fluid Dynamics · Physics 2019-04-17 Thomas Morrell , Saverio Spagnolie , Jean-Luc Thiffeault

We present a new, approximate method for modelling the acceleration and collimation of relativistic jets in the presence of gravity. This method is self-similar throughout the computational domain where gravitational effects are negligible…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Peter Polko , David L. Meier , Sera Markoff

We report on chute measurements of the free-surface velocity $v$ in dense flows of spheres and diverse sands and spheres-sand mixtures down rough inclines. These and previous measurements are inconsistent with standard flow rules, in which…

Soft Condensed Matter · Physics 2025-01-22 Yanbin Wu , Thomas Pähtz , Zixiao Guo , Lu Jing , Zhao Duan , Zhiguo He

This manuscript aims to establish the gravitational junction conditions(JCs) for the $f(\mathcal{G},~T)$ gravity. In this gravitational theory, $f$ is an arbitrary function of Gauss-Bonnet invariant $\mathcal{G}$ and the trace of the…

General Relativity and Quantum Cosmology · Physics 2022-07-14 M. Z. Bhatti , Z. Yousaf , M. Yousaf

The planar laminar flow resulting from the impingement of two gaseous jets of different density issuing into an open space from aligned steadily fed slot nozzles of semi-width $R$ separated a distance $2H$ is investigated by numerical and…

Fluid Dynamics · Physics 2022-02-15 A. D. Weiss , W. Coenen. A. L. Sánchez

We present a ballistic description of the formation and propagation of the working surface of a relativistic jet. Using simple laws of conservation of mass and linear momentum at the working surface, we obtain a full description of the…

Astrophysics · Physics 2009-05-18 S. Mendoza , J. C. Hidalgo , D. Olvera , J. I. Cabrera

We study the evolution of one-dimensional relativistic jets, using the exact solution of the Riemann problem for relativistic flows. For this purpose, we solve equations for the ideal special relativistic fluid composed of dissimilar…

High Energy Astrophysical Phenomena · Physics 2021-03-08 Raj Kishor Joshi , Indranil Chattopadhyay , Dongsu Ryu , Lallan Yadav

A fluid jet with a finite angular velocity is subject to centripetal forces in addition to surface tension forces. At fixed angular momentum, centripetal forces become large when the radius of the jet goes to zero. We study the possible…

Fluid Dynamics · Physics 2007-05-23 Jens Eggers , Michael P. Brenner

A liquid metal flow in the form of a submerged round jet entering a square duct in the presence of a transverse magnetic field is studied experimentally. A range of high Reynolds and Hartmann numbers is considered. Flow velocity is measured…

A new slender-body theory for viscous flow, based on the concepts of dimensional reduction and hyperviscous regularization, is presented. The geometry of flat, elongated, or point-like rigid bodies immersed in a viscous fluid is…

Fluid Dynamics · Physics 2016-03-23 Giulio G. Giusteri , Eliot Fried

The vortex method is a common numerical and theoretical approach used to implement the motion of an ideal flow, in which the vorticity is approximated by a sum of point vortices, so that the Euler equations read as a system of ordinary…

Analysis of PDEs · Mathematics 2017-07-26 Diogo Arsénio , Emmanuel Dormy , Christophe Lacave

The dynamics of a point charged particle which is driven by a uniform external electric field and moves in a medium of elastic scatterers is investigated. Using rudimentary approaches, we reproduce, in one dimension, the known results that…

Statistical Mechanics · Physics 2009-10-28 P. L. Krapivsky , S. Redner

In this paper we prove that the motion of a solid body in a two dimensional incompressible perfect fluid converges, when the body shrinks to a point with fixed mass and circulation, to a variant of the vortex-wave system where the vortex,…

Analysis of PDEs · Mathematics 2011-04-29 Olivier Glass , Christophe Lacave , Franck Sueur

We propose a two-phase-fluid model for a full-cone turbulent round jet that describes its dynamics in a simple but comprehensive manner with only the apex angle of the cone being a disposable parameter. The basic assumptions are that (i)…

Fluid Dynamics · Physics 2017-03-01 Fermín Franco Medrano , Yasuhide Fukumoto , Clara M. Velte , Azur Hodžić

A longstanding mystery about Jupiter has been the straightness and steadiness of its weather-layer jets, quite unlike terrestrial strong jets with their characteristic unsteadiness and long-wavelength meandering. The problem is addressed in…

Earth and Planetary Astrophysics · Physics 2019-07-29 Stephen I. Thomson , Michael E. McIntyre

A small, spherical bubble of high internal pressure is inserted into water at constant ambient pressure as a model of a laser-induced bubble. Its subsequent dynamics near a flat solid boundary is studied in dependence on the distance of the…

Fluid Dynamics · Physics 2020-09-30 Christiane Lechner , Werner Lauterborn , Max Koch , Robert Mettin

Circular flush Jets In Cross-Flow were experimentally studied in a water tunnel using Volumetric Particle Tracking Velocimetry, for a range of jet to cross-flow velocity ratios, r, from 0.5 to 3, jet exit diameters $d$ from 0.8 cm to 1 cm…

Fluid Dynamics · Physics 2013-06-27 T. Cambonie , N. Gautier , J. -L. Aider

In this paper, we investigate spherically symmetric perfect fluid gravitational collapse in metric $f(R)$ gravity. We take non-static spherically symmetric metric in the interior region and static spherically symmetric metric in the…

General Relativity and Quantum Cosmology · Physics 2011-01-17 M. Sharif , H. Rizwana Kausar