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Similarity solution for one dimensional motion of a magnetized self-gravitating gas with variable density under the absorption of monochromatic radiation

  • Praveen Kumar Sahu EMAIL logo
Published/Copyright: April 7, 2022
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 77 Issue 7

Abstract

The impendence of azimuthal or axial magnetism in one-dimensional shock wave prevalence via a gas with monochromatic radiation for cylindrical and spherical geometry is examined. The travelling piston supplies the varying input of energy continuously and conditions of equilibrium flow through the whole field are retained. A regime of ODEs is derived by means of the regime of governing motion’s equations using the similarity process. The distributions of gas-dynamical quantities, obtained by their numerical integration, are discussed through figures. It is observed that the adiabatic index and the impendence of magnetism, as well as gravitation, lessen the shock intensity, however, the initial density variation index has the opposite behaviour on it.

Keywords: azimuthal or axial magnetic field; monochromatic radiation; self gravitation; spherical or cylindrical shock wave; stellar medium
MSC 2010: 76L05; 76T15; 83C50
Corresponding author: Praveen Kumar Sahu, Department of Mathematics, Government Shyama Prasad Mukharjee College, Sitapur 497111, Chhattisgarh, India, E-mail:

Funding source: Science and Engineering Research Board

Award Identifier / Grant number: TAR/2018/000150

Acknowledgements

The author is thankful to Prof. M. K. Verma, Department of Physics, Indian Institute of Technology Kanpur, Kanpur–208016, India for fruitful discussions.

  1. Author contribution: The author has accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work was supported by the research grant no. TAR/2018/000150 under Teachers Associateship for Research Excellence (TARE) scheme from the Science and Engineering Research Board (SERB), India. The author gratefully acknowledges financial support from SERB.

  3. Conflict of interest statement: The author reports no conflict of interest at this time. If a conflict of interest is identified after publication, a correction will be submitted.

  4. Data Availability Statements: The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Received: 2021-08-29
Revised: 2022-01-30
Accepted: 2022-03-07
Published Online: 2022-04-07
Published in Print: 2022-07-25

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2021-0254
Keywords for this article
azimuthal or axial magnetic field; monochromatic radiation; self gravitation; spherical or cylindrical shock wave; stellar medium

Articles in the same Issue

  1. Frontmatter
  2. General
  3. Fiber-optic Michelson interferometer for detecting coolant level and refractive index
  4. Dynamical Systems & Nonlinear Phenomena
  5. Qualitative analysis of an eco-epidemiological model with a role of prey and predator harvesting
  6. Similarity solution for one dimensional motion of a magnetized self-gravitating gas with variable density under the absorption of monochromatic radiation
  7. Dust–ion acoustic solitary waves in a collisionless magnetized five components plasma
  8. Hydrodynamics
  9. Pressure-exerted steady laminar flow of an incompressible fluid along a porous parallel-walled channel with an impermeable wall
  10. Solid State Physics & Materials Science
  11. Local structure and electron density distribution analysis of tin(II) sulfide using pair distribution function and maximum entropy method
  12. Mechanical and thermophysical properties of 4d-transition metal mononitrides
  13. Photoluminescence properties of Eu3+ doped CaSr(WO4)2 phosphor by Li+ charge compensation
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