One-dimensional spherical shock waves in an interstellar dusty gas clouds
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Astha Chauhan
Abstract
A system of partial differential equations describing the one-dimensional motion of an inviscid self-gravitating and spherical symmetric dusty gas cloud, is considered. Using the method of the kinematics of one-dimensional motion of shock waves, the evolution equation for the spherical shock wave of arbitrary strength in interstellar dusty gas clouds is derived. By applying first order truncation approximation procedure, an efficient system of ordinary differential equations describing shock propagation, which can be regarded as a good approximation of infinite hierarchy of the system. The truncated equations, which describe the shock strength and the induced discontinuity, are used to analyze the behavior of the shock wave of arbitrary strength in a medium of dusty gas. The results are obtained for the exponents from the successive approximation and compared with the results obtained by Guderley’s exact similarity solution and characteristic rule (CCW approximation). The effects of the parameters of the dusty gas and cooling-heating function on the shock strength are depicted graphically.
Funding source: University Grant Commission
Award Identifier / Grant number: 2121440656
Funding source: Department of Science and Technology
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: “The work of the first author Astha Chauhan is supported by the University Grant Commission, New Delhi with grant number 2121440656, Ref. No; 21/12/2014(ii)EU-V. The author Kajal Sharma is thankful to the Department of Science and Technology, New Delhi for the financial support.”
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
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- 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
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Articles in the same Issue
- 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
