Propagation of an exponential shock wave in a rotational axisymmetric isothermal or adiabatic flow of a self-gravitating non-ideal gas under the influence of axial or azimuthal magnetic field

P.K. Sahu

Chaos, Solitons & Fractals, 2020, vol. 135, issue C

Abstract: In this paper, we consider a quasilinear hyperbolic system of partial differential equations (PDEs) governing unsteady cylindrically symmetric motion of an inviscid, perfectly conducting and non-ideal gas in which the effects of magnetic field as well as gravitational field are significant. The ambient medium is assumed to have radial, azimuthal and axial components of fluid velocity. The fluid velocities and the initial magnetic field of the ambient medium are assumed to be varying and obeying exponential laws. The density of the ambient medium is assumed to be constant. Solutions are obtained for self-gravitating MHD shock in a rotating medium with the vorticity vector and its components in one-dimensional flow case. The numerical solutions are obtained using Runge-Kutta method of the fourth order. The effects of variation of the non-idealness parameter of the gas, gravitational parameter, the Shock Cowling number, and the adiabatic exponent of the gas are are worked out in detail. Further, a comparison between the solutions obtained in the case of isothermal and adiabatic flows is done. It is manifested that the non-idealness parameter of gas, presence of magnetic field (axial or azimuthal), and the adiabatic exponent of the gas have decaying effect on the shock wave however increase in the value of gravitational parameter has reverse effect on the shock strength. Further, it is shown that the consideration of isothermal flow or the presence of azimuthal magnetic field removes the singularity in the density distribution, the magnetic field distribution and the non-dimensional axial component of the vorticity vector distribution which arises in the case of adiabatic flow. It is investigated that the self-gravitation reduces the effects of the non-idealness of the gas. The obtained results are found in good agreement with the existing results.

Keywords: Piston problem; Rotating medium; Non-ideal gas; Magnetogasdynamics and electro-fluid mechanics; Shock wave; Self-gravitating gas; Isothermal and adiabatic flow (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077920301417
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301417

DOI: 10.1016/j.chaos.2020.109739

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().