Investigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory

The main goal of this study is investigating the interfacial instability in the shear density stratified flow in non-Boussinesq regime using linear stability theory. In the current study, the pseudospectral collocation method employed Chebyshev polynomials is applied to solve two coupled eigenvalue...

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Autores principales: Ehsan Khavasi, Pouriya Amini, Javad Rahimi, Mohammad Hadi Mohammadi
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Lenguaje:EN
Publicado: Taylor & Francis Group 2019
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Acceso en línea:https://doaj.org/article/5e8e6690f8794987a1cfe916c2c7ac0c
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spelling oai:doaj.org-article:5e8e6690f8794987a1cfe916c2c7ac0c2021-11-04T15:51:56ZInvestigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory2331-191610.1080/23311916.2019.1661590https://doaj.org/article/5e8e6690f8794987a1cfe916c2c7ac0c2019-01-01T00:00:00Zhttp://dx.doi.org/10.1080/23311916.2019.1661590https://doaj.org/toc/2331-1916The main goal of this study is investigating the interfacial instability in the shear density stratified flow in non-Boussinesq regime using linear stability theory. In the current study, the pseudospectral collocation method employed Chebyshev polynomials is applied to solve two coupled eigenvalue equations. Using the linear stability analysis in the temporal framework, the effects of various parameters on the flow instability have been studied. Obtained results in the present paper are showing that increasing the bed slope, the flow becomes more unstable; also at R = 1, Kelvin–Helmholtz and Holmboe waves appear. Furthermore, Holmboe waves were not observed only at θ = 0. This study shows that at R ≠ 1, in addition to observing Kelvin–Helmholtz and Holmboe waves with higher growth rates, by increasing the bed slope, the growth rate and the number of Kelvin–Helmholtz modes increase. With an improved understanding of the instability mechanisms and features with including the non-Boussinesq effects, one can confirm some of the previous experimental results and offer new indications to observations that have not been fully explained. In designing laboratory experiments to observe Holmboe waves and estimating their wavelengths and phase speeds the results of present paper are also could be useful.Ehsan KhavasiPouriya AminiJavad RahimiMohammad Hadi MohammadiTaylor & Francis Grouparticleinterfacial instabilitylinear stability analysisstratified shear flowsnon-boussinesqEngineering (General). Civil engineering (General)TA1-2040ENCogent Engineering, Vol 6, Iss 1 (2019)
institution DOAJ
collection DOAJ
language EN
topic interfacial instability
linear stability analysis
stratified shear flows
non-boussinesq
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle interfacial instability
linear stability analysis
stratified shear flows
non-boussinesq
Engineering (General). Civil engineering (General)
TA1-2040
Ehsan Khavasi
Pouriya Amini
Javad Rahimi
Mohammad Hadi Mohammadi
Investigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory
description The main goal of this study is investigating the interfacial instability in the shear density stratified flow in non-Boussinesq regime using linear stability theory. In the current study, the pseudospectral collocation method employed Chebyshev polynomials is applied to solve two coupled eigenvalue equations. Using the linear stability analysis in the temporal framework, the effects of various parameters on the flow instability have been studied. Obtained results in the present paper are showing that increasing the bed slope, the flow becomes more unstable; also at R = 1, Kelvin–Helmholtz and Holmboe waves appear. Furthermore, Holmboe waves were not observed only at θ = 0. This study shows that at R ≠ 1, in addition to observing Kelvin–Helmholtz and Holmboe waves with higher growth rates, by increasing the bed slope, the growth rate and the number of Kelvin–Helmholtz modes increase. With an improved understanding of the instability mechanisms and features with including the non-Boussinesq effects, one can confirm some of the previous experimental results and offer new indications to observations that have not been fully explained. In designing laboratory experiments to observe Holmboe waves and estimating their wavelengths and phase speeds the results of present paper are also could be useful.
format article
author Ehsan Khavasi
Pouriya Amini
Javad Rahimi
Mohammad Hadi Mohammadi
author_facet Ehsan Khavasi
Pouriya Amini
Javad Rahimi
Mohammad Hadi Mohammadi
author_sort Ehsan Khavasi
title Investigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory
title_short Investigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory
title_full Investigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory
title_fullStr Investigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory
title_full_unstemmed Investigation of the interfacial instability in a non-Boussinesq density stratified flow using linear stability theory
title_sort investigation of the interfacial instability in a non-boussinesq density stratified flow using linear stability theory
publisher Taylor & Francis Group
publishDate 2019
url https://doaj.org/article/5e8e6690f8794987a1cfe916c2c7ac0c
work_keys_str_mv AT ehsankhavasi investigationoftheinterfacialinstabilityinanonboussinesqdensitystratifiedflowusinglinearstabilitytheory
AT pouriyaamini investigationoftheinterfacialinstabilityinanonboussinesqdensitystratifiedflowusinglinearstabilitytheory
AT javadrahimi investigationoftheinterfacialinstabilityinanonboussinesqdensitystratifiedflowusinglinearstabilitytheory
AT mohammadhadimohammadi investigationoftheinterfacialinstabilityinanonboussinesqdensitystratifiedflowusinglinearstabilitytheory
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