English
Related papers

Related papers: Polytropic Wind Solutions via the Complex Plane St…

200 papers

Here we present a self-consistent stationary solution for spherically symmetric winds driven by massive star clusters under the impact of radiative cooling. We demonstrate that cooling may modify drastically the distribution of temperature…

Astrophysics · Physics 2009-11-10 Sergiy Silich , Guillermo Tenorio-Tagle , Ary Rodriguez-Gonzalez

We present a general method for solving the non--linear differential equation of monotonically increasing steady--state radiation driven winds. We graphically identify all the singular points before transforming the momentum equation to a…

Astrophysics · Physics 2015-06-24 Michel Cure , Diego F. Rial

Axisymmetric stellar wind solutions are presented, obtained by numerically solving the ideal magnetohydrodynamic (MHD) equations. Stationary solutions are critically analysed using the knowledge of the flux functions. These flux functions…

Astrophysics · Physics 2009-10-31 R. Keppens , J. P. Goedbloed

We present two-dimensional hydrodynamic models of thermally driven winds from highly irradiated, close-in extra-solar planets. We adopt a very simple treatment of the radiative heating processes at the base of the wind, and instead focus on…

Astrophysics · Physics 2011-02-11 James M. Stone , Daniel Proga

Much theoretical and observational work has been done on stellar winds within binary systems. We present a new solution for a ballistic wind launched from a source in a circular orbit. Our method emphasizes the curved streamlines in the…

Solar and Stellar Astrophysics · Physics 2017-07-26 Francis P. Wilkin , Harry Hausner

Parker Solar Probe (PSP) observations have revealed that most of the solar wind acceleration occurs very close to the Sun. This acceleration is partly due to the global electric potential originating from the mass disparity between…

Solar and Stellar Astrophysics · Physics 2025-05-14 Maximilien Péters de Bonhome , Viviane Pierrard , Fabio Bacchini

We resolve the paradox that although magnetic collimation of an isotropic solar wind results in an enhancement of its proton flux along the polar directions, several observations indicate a wind proton flux peaked at the equator. To that…

Astrophysics · Physics 2007-05-23 K. Tsinganos , S. Bogovalov

A new solution method is presented for steady-state, momentum-conserving, non-axisymmetric bow shocks and colliding winds in the thin-shell limit. This is a generalization of previous formulations to include a density gradient in the…

Astrophysics · Physics 2009-10-31 Francis P. Wilkin

The isopoly bi-fluid approach assumes an isothermal evolution of the solar wind near the Sun up to the radial distance riso, followed by a polytropic evolution constrained by the observed polytropic indices. This approach provides a more…

Solar and Stellar Astrophysics · Physics 2025-03-04 J-B. Dakeyo , P. Démoulin , A. P. Rouillard , M. Maksimovic , A. Chapiron , S. D. Bale

Statistical classification of the Helios solar wind observations into several populations sorted by bulk speed has revealed an outward acceleration of the wind. The faster the wind is, the smaller is this acceleration in the 0.3 - 1 au…

Solar and Stellar Astrophysics · Physics 2023-04-19 Dakeyo , Maksimovic , Démoulin , Halekas , Stevens

The energy-balance model of global climate, which is taking into account a nontrivial role of solar and galactic protons, is presented. The model is described by the equation of fold catastrophe relative to increment of temperature, where…

Atmospheric and Oceanic Physics · Physics 2007-05-23 V. D. Rusov , A. V. Glushkov , V. N. Vaschenko , V. N. Pavlovich , T. N. Zelentsova , O. T. Mihalus , V. A. Tarasov , D. N. Saranuk

The aim of this study is to construct a simple stellar model with non-uniform polytropic index. We find that the Emden equation cannot deal with the polytrope gas sphere with non-uniform polytropic index in a real star, and then we…

Solar and Stellar Astrophysics · Physics 2022-09-21 Xing Wei

We show the existence of a new class of initially smooth spherically symmetric self-similar solutions to the non-isentropic Euler-Poisson system. These solutions exhibit supersonic gravitational implosion in the sense that the density…

Analysis of PDEs · Mathematics 2025-03-18 Christopher Alexander , Mahir Hadžić , Matthew Schrecker

In this paper we have solved the hydrodynamic equations governing the spherically symmetric isothermal accretion (wind) onto (away from) compact objects using various pseudo-Schwarzschild potentials.These solutions are essentially one…

Astrophysics · Physics 2009-11-07 Aveek Sarkar , Tapas Kumar Das

This study presents a critical assessment of a pressure-based solver (PBS) in resolving complex interactions of shocks, turbulent structures etc.. The canonical problem chosen to be resolved in this study is of mode staging in axisymmetric…

Fluid Dynamics · Physics 2023-11-21 Kuldeep Singh Rawat , Swapnil Ahire , Avijit Chatterjee

The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients of order three. We prove that this difference equation can be solved in general. Consequently we can find an exact solution to the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. J. John , S. D. Maharaj

The classic Weber-Davis model of the solar wind is reconsidered by incorporating alpha particles and by allowing the solar wind to flow out of the equatorial plane in an axisymmetrical configuration. In the ion momentum equations of the…

Astrophysics · Physics 2007-05-23 Bo Li , Xing Li

A variety of energy sources, ranging from dynamic processes like magnetic reconnection and waves to quasi-steady terms like the plasma pressure, may contribute to the acceleration of the solar wind. We utilize a combination of charged…

How the solar wind is accelerated to its supersonic speed is intimately related to how it is heated. Mechanisms based on ion-cyclotron resonance have been successful in explaining a large number of observations, those concerning the…

Solar and Stellar Astrophysics · Physics 2012-12-03 Bo Li , Shadia Rifai Habbal

The trace-free Einstein equations contain one equation less than the complete field equations. In a static and spherically symmetric spacetime, the number of field equations is thus reduced to two. The equation of pressure isotropy of…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Sudan Hansraj , Chevarra Hansraj , Njabulo Mkhize , Abdelghani Errehymy , Christian G. Boehmer