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Evaluation of weak discontinuity in rotating medium with magnetic field, characteristic shock and weak discontinuity interaction

  • Gorakh Nath ORCID logo EMAIL logo and Prakash Upadhyay
Published/Copyright: January 19, 2024
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 79 Issue 4

Abstract

In this article we investigated the characteristic shock and weak discontinuity wave in a rotating medium of perfect gas in the case of one-dimensional (1-D) adiabatic motion under an axial magnetic field governed by the system of PDEs (partial differential equations). We have obtained some classes of analytical solutions of the system of PDEs that demonstrates the time-space dependency. With change in the values of rotational parameter, adiabatic index and the ratio of initial magnetic pressure to dynamic pressure, effect on the acceleration wave’s amplitude and jump in the flow variables across the characteristic shock is analyzed in detail. We have obtained an expression for the jump in shock acceleration, the amplitudes of transmitted and reflected waves caused by the incident wave on the characteristic shock after the interaction of a weak discontinuity. It is investigated that the jump function across the characteristic shock decay effect, and goes to 0 as time t → ∞, whereas a weak discontinuity wave may culminate into a shock wave, depending on the initial amplitude value. It is also found that the shock formation time reduces due to the consideration of magnetic field or rotating medium.

Keywords: characteristic shock; weak discontinuity; perfect gas; axial magnetic field; rotating medium
Corresponding author: Gorakh Nath, Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, 211004, India, E-mail:

  1. Research ethics: Not applicable.

  2. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The authors state no conflict of interest.

  4. Research funding: None declared.

  5. Data availability: Not applicable.

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Received: 2023-10-06
Accepted: 2023-12-21
Published Online: 2024-01-19
Published in Print: 2024-04-25

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2023-0275
Keywords for this article
characteristic shock; weak discontinuity; perfect gas; axial magnetic field; rotating medium

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Chemical Physics
  3. Extended calculations of energy levels and transition rates for Yb LVII
  4. Two curvature sensors based on no-core–seven-core fiber interference
  5. Environmentally friendly reduction of graphene oxide using the plant extract of novel Chromolaena odorata and evaluation of adsorption capacity on methylene blue dye
  6. Dynamical Systems & Nonlinear Phenomena
  7. Novel compound multistable stochastic resonance weak signal detection
  8. The absorbing boundary conditions of Newtonian fluid flowing across a semi-infinite plate with different velocities and pressures
  9. Three-to-one internal resonances of stepped nanobeam of nonlinearity
  10. Evaluation of weak discontinuity in rotating medium with magnetic field, characteristic shock and weak discontinuity interaction
  11. Robust inverse scattering analysis of discrete high-order nonlinear Schrödinger equation
  12. Hydrodynamics
  13. Quadruple Beltrami field structures in electron–positron multi-ion plasma
  14. Quantum Theory
  15. New expressions for the Aharonov–Bohm phase and consequences for the fundamentals of quantum mechanics
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