Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers

This article investigates the effects of Atwood numbers on the flow physics of shock-driven elliptical gas inhomogeneity based on numerical simulations. We examine five different gases—He, Ne, Ar, Kr, and SF6—that are filled inside an elliptical bubble and surrounded by N2 in order to study flow phy...

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Main Authors: Singh, Satyvir, Sengupta, Bidesh, Awasthi, Mukesh Kumar, Kumar, Vinesh
Other Authors: School of Computer Science and Engineering
Format: Journal Article
Language:English
Published: 2024
Subjects:
Online Access:https://hdl.handle.net/10356/179709
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author Singh, Satyvir
Sengupta, Bidesh
Awasthi, Mukesh Kumar
Kumar, Vinesh
author2 School of Computer Science and Engineering
author_facet School of Computer Science and Engineering
Singh, Satyvir
Sengupta, Bidesh
Awasthi, Mukesh Kumar
Kumar, Vinesh
author_sort Singh, Satyvir
collection NTU
description This article investigates the effects of Atwood numbers on the flow physics of shock-driven elliptical gas inhomogeneity based on numerical simulations. We examine five different gases—He, Ne, Ar, Kr, and SF6—that are filled inside an elliptical bubble and surrounded by N2 in order to study flow physics. A high-order modal discontinuous Galerkin finite element approach is used to solve compressible Euler equations for all numerical simulations. In terms of validation studies, the numerical outcomes match the existing experimental data quite well. The findings show that the Atwood number has a significant impact on the characteristics of flow, including wave patterns, the development of vortices, the generation of vorticity, and bubble deformation. When the value of At is greater than zero i.e. At > 0, there is a notable divergence between the incident wave outside the bubble and the transmitted shock wave inside the bubble. Complex wave patterns, including reflected and newly transmitted shock, are seen during the encounter. Interestingly, the transmitted shock and incident shock waves move with the same rates at At ≈ 0. While, compared to the incident shock wave, the transmitted shock wave moves more quickly for At < 0. The influence of Atwood number is then investigated in depth by looking at the vorticity production at the elliptical interface. Furthermore, in the analysis of vorticity production processes, the important spatial integrated domains of average vorticity, dilatational and baroclinic vorticity production terms, and evolution of enstrophy are extended. Finally, a quantitative research based on the interface qualities delves deeply into the influence of the Atwood number on the flow mechanics.
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spelling ntu-10356/1797092024-08-23T15:36:02Z Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers Singh, Satyvir Sengupta, Bidesh Awasthi, Mukesh Kumar Kumar, Vinesh School of Computer Science and Engineering Engineering Shock wave Vorticity generation This article investigates the effects of Atwood numbers on the flow physics of shock-driven elliptical gas inhomogeneity based on numerical simulations. We examine five different gases—He, Ne, Ar, Kr, and SF6—that are filled inside an elliptical bubble and surrounded by N2 in order to study flow physics. A high-order modal discontinuous Galerkin finite element approach is used to solve compressible Euler equations for all numerical simulations. In terms of validation studies, the numerical outcomes match the existing experimental data quite well. The findings show that the Atwood number has a significant impact on the characteristics of flow, including wave patterns, the development of vortices, the generation of vorticity, and bubble deformation. When the value of At is greater than zero i.e. At > 0, there is a notable divergence between the incident wave outside the bubble and the transmitted shock wave inside the bubble. Complex wave patterns, including reflected and newly transmitted shock, are seen during the encounter. Interestingly, the transmitted shock and incident shock waves move with the same rates at At ≈ 0. While, compared to the incident shock wave, the transmitted shock wave moves more quickly for At < 0. The influence of Atwood number is then investigated in depth by looking at the vorticity production at the elliptical interface. Furthermore, in the analysis of vorticity production processes, the important spatial integrated domains of average vorticity, dilatational and baroclinic vorticity production terms, and evolution of enstrophy are extended. Finally, a quantitative research based on the interface qualities delves deeply into the influence of the Atwood number on the flow mechanics. Published version S.S. acknowledges funding through the German Research Foundation within the research unit DFG–FOR5409. 2024-08-19T05:39:47Z 2024-08-19T05:39:47Z 2024 Journal Article Singh, S., Sengupta, B., Awasthi, M. K. & Kumar, V. (2024). Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers. International Journal of Mathematical, Engineering and Management Sciences, 9(1), 1-22. https://dx.doi.org/10.33889/IJMEMS.2024.9.1.001 2455-7749 https://hdl.handle.net/10356/179709 10.33889/IJMEMS.2024.9.1.001 2-s2.0-85190986812 1 9 1 22 en International Journal of Mathematical, Engineering and Management Sciences © 2024 Ram Arti Publishers. Uses under the Creative Commons Attribution 4.0 International (CC BY 4.0) license at https://creativecommons.org/licenses/by/4.0/ application/pdf
spellingShingle Engineering
Shock wave
Vorticity generation
Singh, Satyvir
Sengupta, Bidesh
Awasthi, Mukesh Kumar
Kumar, Vinesh
Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers
title Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers
title_full Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers
title_fullStr Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers
title_full_unstemmed Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers
title_short Insight on the flow physics of shock-driven elliptical gas inhomogeneity with different Atwood numbers
title_sort insight on the flow physics of shock driven elliptical gas inhomogeneity with different atwood numbers
topic Engineering
Shock wave
Vorticity generation
url https://hdl.handle.net/10356/179709
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AT senguptabidesh insightontheflowphysicsofshockdrivenellipticalgasinhomogeneitywithdifferentatwoodnumbers
AT awasthimukeshkumar insightontheflowphysicsofshockdrivenellipticalgasinhomogeneitywithdifferentatwoodnumbers
AT kumarvinesh insightontheflowphysicsofshockdrivenellipticalgasinhomogeneitywithdifferentatwoodnumbers