Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases
The physical problem based on a shock-accelerated bubble has long been a fascinating subject in the study of the Richtmyer-Meshkov (RM) instability. In this study the behavior of a shock-accelerated heavy cylindrical bubble under the nonequilibrium conditions of diatomic and polyatomic gases is inve...
Saved in:
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2022
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/156109 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-156109 |
---|---|
record_format |
dspace |
spelling |
sg-ntu-dr.10356-1561092023-02-28T20:04:56Z Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases Singh, Satyvir Battiato, Marco School of Physical and Mathematical Sciences Engineering::Mechanical engineering::Fluid mechanics Shock Waves Fluid Dynamics The physical problem based on a shock-accelerated bubble has long been a fascinating subject in the study of the Richtmyer-Meshkov (RM) instability. In this study the behavior of a shock-accelerated heavy cylindrical bubble under the nonequilibrium conditions of diatomic and polyatomic gases is investigated numerically. For this purpose, a two-dimensional system of unsteady physical conservation laws derived from the Boltzmann-Curtiss kinetic equations is solved by employing an explicit mixed-type modal discontinuous Galerkin method with uniform meshes. For validation, the numerical results are compared with available experimental and computational results, and are found to be in good agreement. The results demonstrate that the effects of different physical properties, including thermal nonequilibrium and bulk viscosity associated with the viscous excess normal stress on diatomic and polyatomic gases, play a significant role in describing the RM instability during the interaction between a planar shock wave and a heavy bubble. The effects of diatomic and polyatomic gases result in a substantial change in the flow morphology with complex wave patterns, vortex creation, vorticity generation, and bubble deformation. In contrast to monatomic gas, the generation of larger rolled-up vortex chains, a different kind of outward jet formation, and a large mixing zone with strong and large expansion are observed in diatomic and polyatomic gases. A detailed study of the effects of diatomic and polyatomic gases is investigated through the vorticity generation, degree of nonequilibrium, the evolution of enstrophy, and dissipation rate. Furthermore, the time variations of the shock trajectories and the interface scales are investigated from the viewpoint of quantitative analysis. Finally, the effects of nonequilibrium parameters, including bulk viscosity and index of inverse power law, are also investigated. The present work can be seen as a supplement to the RM instability research to examine the nonequilibrium effects of diatomic and polyatomic gases on the dynamics of a shock-accelerated heavy cylindrical bubble. Nanyang Technological University Published version The authors would like to acknowledge the financial support of the NAP-SUG grant program funded by the Nanyang Technological University, Singapore. 2022-04-06T02:23:03Z 2022-04-06T02:23:03Z 2021 Journal Article Singh, S. & Battiato, M. (2021). Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases. Physical Review Fluids, 6(4), 044001-. https://dx.doi.org/10.1103/PhysRevFluids.6.044001 2469-990X https://hdl.handle.net/10356/156109 10.1103/PhysRevFluids.6.044001 2-s2.0-85104891153 4 6 044001 en NAP, M408074 Physical Review Fluids © 2021 American Physical Society. All rights reserved. This paper was published in Physical Review Fluids and is made available with permission of American Physical Society. application/pdf |
institution |
Nanyang Technological University |
building |
NTU Library |
continent |
Asia |
country |
Singapore Singapore |
content_provider |
NTU Library |
collection |
DR-NTU |
language |
English |
topic |
Engineering::Mechanical engineering::Fluid mechanics Shock Waves Fluid Dynamics |
spellingShingle |
Engineering::Mechanical engineering::Fluid mechanics Shock Waves Fluid Dynamics Singh, Satyvir Battiato, Marco Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases |
description |
The physical problem based on a shock-accelerated bubble has long been a fascinating subject in the study of the Richtmyer-Meshkov (RM) instability. In this study the behavior of a shock-accelerated heavy cylindrical bubble under the nonequilibrium conditions of diatomic and polyatomic gases is investigated numerically. For this purpose, a two-dimensional system of unsteady physical conservation laws derived from the Boltzmann-Curtiss kinetic equations is solved by employing an explicit mixed-type modal discontinuous Galerkin method with uniform meshes. For validation, the numerical results are compared with available experimental and computational results, and are found to be in good agreement. The results demonstrate that the effects of different physical properties, including thermal nonequilibrium and bulk viscosity associated with the viscous excess normal stress on diatomic and polyatomic gases, play a significant role in describing the RM instability during the interaction between a planar shock wave and a heavy bubble. The effects of diatomic and polyatomic gases result in a substantial change in the flow morphology with complex wave patterns, vortex creation, vorticity generation, and bubble deformation. In contrast to monatomic gas, the generation of larger rolled-up vortex chains, a different kind of outward jet formation, and a large mixing zone with strong and large expansion are observed in diatomic and polyatomic gases. A detailed study of the effects of diatomic and polyatomic gases is investigated through the vorticity generation, degree of nonequilibrium, the evolution of enstrophy, and dissipation rate. Furthermore, the time variations of the shock trajectories and the interface scales are investigated from the viewpoint of quantitative analysis. Finally, the effects of nonequilibrium parameters, including bulk viscosity and index of inverse power law, are also investigated. The present work can be seen as a supplement to the RM instability research to examine the nonequilibrium effects of diatomic and polyatomic gases on the dynamics of a shock-accelerated heavy cylindrical bubble. |
author2 |
School of Physical and Mathematical Sciences |
author_facet |
School of Physical and Mathematical Sciences Singh, Satyvir Battiato, Marco |
format |
Article |
author |
Singh, Satyvir Battiato, Marco |
author_sort |
Singh, Satyvir |
title |
Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases |
title_short |
Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases |
title_full |
Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases |
title_fullStr |
Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases |
title_full_unstemmed |
Behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases |
title_sort |
behavior of a shock-accelerated heavy cylindrical bubble under nonequilibrium conditions of diatomic and polyatomic gases |
publishDate |
2022 |
url |
https://hdl.handle.net/10356/156109 |
_version_ |
1759856402752339968 |