On the evolution of acceleration discontinuities in van der Waals dusty magnetogasdynamics
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Shobhit Kumar Srivastava
,
Rahul Kumar Chaturvedi
Abstract
The article presents the study of the evolutionary behavior of plane and cylindrically symmetric acceleration discontinuities along the characteristic path under the effect of dust particles in a non-ideal magnetogasdynamic flow. Implications regarding the propagation of disturbances in planar and cylindrically symmetric flows have been shown. Using the characteristics of the governing quasilinear system as a reference coordinate system, we transform the fundamental equations and find the solution. It is explored how the dust particles, along with the nonideal parameter, will influence the steepening or flattening of the propagating waves in magnetic and nonmagnetic cases. The transport equation leading to the evolution of acceleration discontinuities is determined, which provides the relation for the occurrence of shock. The impact of non-idealness of the gas and dust on the evolutionary process of propagating waves for the magnetic and nonmagnetic cases are discussed. The comparison between the flow patterns and distortion of the propagating waves for planar and cylindrically symmetric flows is demonstrated under the various parameter effects.
Acknowledgments
The author, Shobhit Kumar Srivastava, acknowledges University Grants Commission (UGC), New Delhi, India for the award of SRF fellowship. The authors are grateful to the anonymous referees for their valuable comments, which have helped to improve the manuscript.
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: None declared.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Artikel in diesem Heft
- Frontmatter
- General
- Theoretical research of the medical U-type optical fiber sensor covered by the gold nanoparticles
- Machine learning studies for the effects of probes and cavity on quantum synchronization
- Atomic, Molecular & Chemical Physics
- Semiclassical study on photodetachment of hydrogen negative ion in a harmonic potential confined by a quantum well
- Dynamical Systems & Nonlinear Phenomena
- One-dimensional spherical shock waves in an interstellar dusty gas clouds
- Free vibrations of nanobeams under non-ideal supports based on modified couple stress theory
- On the evolution of acceleration discontinuities in van der Waals dusty magnetogasdynamics
- Head-on collision of two ion-acoustic solitons in pair-ion plasmas with nonthermal electrons featuring Tsallis distribution
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Artikel in diesem Heft
- Frontmatter
- General
- Theoretical research of the medical U-type optical fiber sensor covered by the gold nanoparticles
- Machine learning studies for the effects of probes and cavity on quantum synchronization
- Atomic, Molecular & Chemical Physics
- Semiclassical study on photodetachment of hydrogen negative ion in a harmonic potential confined by a quantum well
- Dynamical Systems & Nonlinear Phenomena
- One-dimensional spherical shock waves in an interstellar dusty gas clouds
- Free vibrations of nanobeams under non-ideal supports based on modified couple stress theory
- On the evolution of acceleration discontinuities in van der Waals dusty magnetogasdynamics
- Head-on collision of two ion-acoustic solitons in pair-ion plasmas with nonthermal electrons featuring Tsallis distribution
- Arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless magnetized plasma consisting of non-thermal and isothermal electrons
