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A self-similar solution for shock waves in conducting rotating non-ideal dusty gas medium with monochromatic radiation and magnetic field

Published/Copyright: February 17, 2022
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 77 Issue 4

Abstract

In this paper, the cylindrical shock wave propagation in a perfectly conducting rotating mixture of micro size dust particles and van der Waal gas with magnetic field either axial or azimuthal and monochromatic radiation is investigated. The effect of thermal radiation is included in the energy equation of the governing system. In our study, it is assumed that the flux of radiation moves in the mixture of particles and real gas with invariable intensity and the shock wave is moving appositive to the direction of radiation heat flux and the energy is engrossed behind the cylindrical shock only. In the present model, dusty gas is assumed to be a mixture of micro size dust particles and van der Waal gas in which solid particles are continuously distributed and the equilibrium flow conditions are assumed to hold in the entire flow-field region. The effects of the particles’ density to the initial gas density ratio, the real gas effect, rotational parameter, the concentration of mass of the micro size dust particles in the conducting mixture, Alfven-Mach number and the adiabatic exponent on shock and on the physical variables such as velocity, density etc. are discussed. It is found that due to the rotating medium consideration or by an increase in small particles density to the initial gas density ratio, the shock wave strength increases. Also, it is significant to memorize that the strength of the shock wave decreases by an increase in the strength of initial magnetic field or gas non-ideal parameter or the adiabatic index.

Keywords: heat flux of monochromatic radiation; interstellar medium; magnetic field; non-ideal dusty gas; rotating medium; shock wave
Corresponding author: G. Nath, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, 211004, India, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: The authors have no relevant financial or non-financial interests to disclose.

  3. Conflict of interest statement: The authors declare that they have no conflicts of interest.

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Received: 2021-10-01
Revised: 2021-12-11
Accepted: 2022-01-13
Published Online: 2022-02-17
Published in Print: 2022-04-26

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Dynamical Systems & Nonlinear Phenomena
  3. Investigation of the non-linear vibration behaviour and 3:1 internal resonance of the multi supported nanobeam
  4. Third harmonic generation of a relativistic self-focusing laser in plasma under exponential density ramp
  5. Flow and heat over a rotating disk subject to a uniform horizontal magnetic field
  6. Hydrodynamics
  7. The effect of surfactant on the drag and wall correction factor of a drop in a bounded medium
  8. The effect of second order slip condition on MHD nanofluid flow around a semi-circular cylinder
  9. Turbulent boundary layer heat transfer of CuO–water nanofluids on a continuously moving plate subject to convective boundary
  10. Thermodynamics & Statistical Physics
  11. A self-similar solution for shock waves in conducting rotating non-ideal dusty gas medium with monochromatic radiation and magnetic field
  12. Analysis of the second virial coefficient, and application to rare gas mixtures
https://doi.org/10.1515/zna-2021-0292
Keywords for this article
heat flux of monochromatic radiation; interstellar medium; magnetic field; non-ideal dusty gas; rotating medium; shock wave

Articles in the same Issue

  1. Frontmatter
  2. Dynamical Systems & Nonlinear Phenomena
  3. Investigation of the non-linear vibration behaviour and 3:1 internal resonance of the multi supported nanobeam
  4. Third harmonic generation of a relativistic self-focusing laser in plasma under exponential density ramp
  5. Flow and heat over a rotating disk subject to a uniform horizontal magnetic field
  6. Hydrodynamics
  7. The effect of surfactant on the drag and wall correction factor of a drop in a bounded medium
  8. The effect of second order slip condition on MHD nanofluid flow around a semi-circular cylinder
  9. Turbulent boundary layer heat transfer of CuO–water nanofluids on a continuously moving plate subject to convective boundary
  10. Thermodynamics & Statistical Physics
  11. A self-similar solution for shock waves in conducting rotating non-ideal dusty gas medium with monochromatic radiation and magnetic field
  12. Analysis of the second virial coefficient, and application to rare gas mixtures
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