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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/joaa/044/0049

    • Keywords

       

      Hyperbolic system; shock wave; interstellar gas clouds; non-ideal gas.

    • Abstract

       

      A systematic method is used to study the problem of propagation of planar, cylindrically symmetric and spherically symmetric shockwaves of the one-dimensional motion of an inviscid, self-gravitating, non-ideal interstellar gas cloud. The analytic solution of the problem is resolved, which specifies non-linear behavior in the physical plane. The transport equation, which describes the evolution of weak discontinuity in non-ideal gas is derived. It is observed that the nature of the solution completely depends on the net volumetric cooling rate and self-gravitating parameter. It is observed that an increase in the value of self-gravitating parameter resultsin delay of process of shock formation and shock forms early when heating dominates cooling in the system. Also, expansive waves take less time to decay in planar geometry as compared to cylindrical and spherical geometries and compressive waves take more time to develop shocks for cylindrical and spherical geometriesas compared to planar geometry.

    • Author Affiliations

       

      SHWETA1 RAHUL KUMAR CHATURVEDI1 2 SHOBHIT KUMAR SRIVASTAVA1 L. P. SINGH1

      1. Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India.
      2. School of Advanced Sciences and Languages, VIT Bhopal University, Bhopal 466114, India.

    • Dates

       
      Published
      20 May 2023
      Manuscript received
      12 September 2022
      Accepted
      23 August 2023
      Final version published online
      20 May 2023

  • Journal of Astrophysics and Astronomy | News

    • Continuous Article Publication

      Posted on January 27, 2016

      Since January 2016, the Journal of Astrophysics and Astronomy has moved to Continuous Article Publishing (CAP) mode. This means that each accepted article is being published immediately online with DOI and article citation ID with starting page number 1. Articles are also visible in Web of Science immediately. All these have helped shorten the publication time and have improved the visibility of the articles.

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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