Startseite Analytical solution for unsteady flow behind ionizing shock wave in a rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field
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Analytical solution for unsteady flow behind ionizing shock wave in a rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field

Veröffentlicht/Copyright: 5. Februar 2021
Zeitschrift für Naturforschung A
Aus der Zeitschrift Zeitschrift für Naturforschung A Band 76 Heft 3

Abstract

The approximate analytical solution for the propagation of gas ionizing cylindrical blast (shock) wave in a rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field is investigated. The axial and azimuthal components of fluid velocity are taken into consideration and these flow variables, magnetic field in the ambient medium are assumed to be varying according to the power laws with distance from the axis of symmetry. The shock is supposed to be strong one for the ratio C0Vs2 to be a negligible small quantity, where C0is the sound velocity in undisturbed fluid and VS is the shock velocity. In the undisturbed medium the density is assumed to be constant to obtain the similarity solution. The flow variables in power series of C0Vs2 are expanded to obtain the approximate analytical solutions. The first order and second order approximations to the solutions are discussed with the help of power series expansion. For the first order approximation the analytical solutions are derived. In the flow-field region behind the blast wave the distribution of the flow variables in the case of first order approximation is shown in graphs. It is observed that in the flow field region the quantity J0 increases with an increase in the value of gas non-idealness parameter or Alfven-Mach number or rotational parameter. Hence, the non-idealness of the gas and the presence of rotation or magnetic field have decaying effect on shock wave.

Keywords: ionizing shock waves; magnetogasdynamics; non-ideal gas; rotating medium; self-similar solution
MSC 2010: 35L40; 35L45-; 35L60; 35Q35; 76J20; 76L05; 76N15; 76U05; 76W05; 85A20
Corresponding author: G. Nath, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad211004, India, E-mail:

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

  2. Research funding: None declared.

  3. Conflict of interest statement: On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Received: 2020-09-05
Accepted: 2020-12-28
Published Online: 2021-02-05
Published in Print: 2021-03-26

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. General
  3. Remarks on axion-electrodynamics
  4. Dynamical Systems & Nonlinear Phenomena
  5. Interaction of waves in one-dimensional dusty gas flow
  6. On the ferrofluid lubricated exponential squeeze film-bearings
  7. Modeling and simulation of capillary ridges on the free surface dynamics of third-grade fluid
  8. Hydrodynamics
  9. Ternary-hybrid nanofluids: significance of suction and dual-stretching on three-dimensional flow of water conveying nanoparticles with various shapes and densities
  10. Solid State Physics & Materials Science
  11. Electronic and magnetic properties of Fe-doped GaN: first-principle calculations
  12. Genetic evolutionary approach for surface roughness prediction of laser sintered Ti–6Al–4V in EDM
  13. Thermodynamics & Statistical Physics
  14. Analytical solution for unsteady flow behind ionizing shock wave in a rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field
  15. A mathematical model for thermography on viscous fluid based on damped thermal flux
https://doi.org/10.1515/zna-2020-0248
Schlagwörter für diesen Artikel
ionizing shock waves; magnetogasdynamics; non-ideal gas; rotating medium; self-similar solution

Artikel in diesem Heft

  1. Frontmatter
  2. General
  3. Remarks on axion-electrodynamics
  4. Dynamical Systems & Nonlinear Phenomena
  5. Interaction of waves in one-dimensional dusty gas flow
  6. On the ferrofluid lubricated exponential squeeze film-bearings
  7. Modeling and simulation of capillary ridges on the free surface dynamics of third-grade fluid
  8. Hydrodynamics
  9. Ternary-hybrid nanofluids: significance of suction and dual-stretching on three-dimensional flow of water conveying nanoparticles with various shapes and densities
  10. Solid State Physics & Materials Science
  11. Electronic and magnetic properties of Fe-doped GaN: first-principle calculations
  12. Genetic evolutionary approach for surface roughness prediction of laser sintered Ti–6Al–4V in EDM
  13. Thermodynamics & Statistical Physics
  14. Analytical solution for unsteady flow behind ionizing shock wave in a rotational axisymmetric non-ideal gas with azimuthal or axial magnetic field
  15. A mathematical model for thermography on viscous fluid based on damped thermal flux
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