Destabilization characteristics of three dimensional Rayleigh–Taylor mechanism on a cylindrical interface

Vadivukkarasan, M.; Panchagnula, Mahesh V.

doi:10.1007/s11012-019-01086-0

Cited by 6 publications

(3 citation statements)

References 42 publications

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“…Hence, it can increase the 2D stability as was also experimentally observed by Huneault et al (2019). For non-rotating 3D liners the surface tension can cause 3D long wave axial and helical instabilities as found using the WKB approximation (Vadivukkarasan and Panchagnula 2019). However, again the effect of the surface tension was found to be small for the investigated rotating 2D liners as evident from the CFD computations and the scaling analysis in section 3.3 and thus it is left for a future study.…”

Section: Liner Linear Stability Analysissupporting

confidence: 57%

“…In both forms of the stability analysis and the CFD computations, the perturbation is assumed as two-dimensional as in the stability analysis of Barcilon et al (1974), Mikaelian (2005) and Epstein (2004). Extension for 3D instability wave is readily possible, particularly in the WKB approximation where a Bessel function expansion can be used (Velikovich andSchmit 2015, Vadivukkarasan andPanchagnula 2019). However, the 2D instability assumption already captures the main features of the stability process in terms of the liner's acceleration.…”

Section: Introductionmentioning

confidence: 99%

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On the hydrodynamic stability of an imploding rotating circular cylindrical liquid liner

et al. 2020

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The hydrodynamic stability of an imploding cylindrical liquid liner is analytically and numerically investigated. Such dynamic system can be used to compress gas trapped by the liner, as one may seek in a hydrogen fusion reactor. For such system it is vital for the liner to stay intact at least up to the turnaround point, which marks the point of maximum compression of the inner gas. New twodimensional linear stability of Bell-type equation and Wentzel-Kramers-Brillouin (WKB) approximations are derived to account for the rotation of the liner. Excellent agreement is achieved between CFD and 1D analysis for the trajectory of the unperturbed liner. Very good agreement is also achieved between the Bell type linear stability solution and the CFD until non-linear effects take hold near the turnaround point. The WKB approximation also agrees well but only at the early stage of the liner motion. Viscosity, surface tension and inner gas stability waves are found to have a small effect for a liner's radial compression of up to ten.It is seen that the rotation has little effect on the perturbation amplitude during the accelerating stage of the liner, which is dominated by a slow oscillatory growth of a Bell-Plesset type at the studied conditions. However, at the decelerating stage towards the turnaround point, Rayleigh-Taylor rapid perturbation growth is suppressed at sufficiently large rotation rates. Hence, when coupled with non-linear saturation effects, the liner stays much intact until the turnaround point for radial compression ratios of up to ten. New simple linear stability limits are derived and are analysed.

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Section: Liner Linear Stability Analysissupporting

confidence: 57%

Section: Introductionmentioning

confidence: 99%

On the hydrodynamic stability of an imploding rotating circular cylindrical liquid liner

et al. 2020

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“…Here we revisit a theoretical model [44] that describes the combined behavior of the R–T and K–H instabilities of a cylindrical interface [45] , [46] , [47] . Consider an infinite annular cylindrical interface as shown in Fig.…”

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confidence: 99%

A note on the stability characteristics of the respiratory events

Vadivukkarasan¹

2021

European Journal of Mechanics - B/Fluids

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The present outbreak enables the researchers from fluid mechanics to widen the understanding of expelling respiratory liquids from a unique perspective to diminish the persistence of COVID-19. This article focuses on uncovering the instability mechanism responsible for forming droplets and aerosols during respiratory events such as breathing, talking, coughing and sneezing. We illustrate a mathematical framework by revisiting the model (Vadivukkarasan and Panchagnula, 2017) and show the associated instabilities during respiratory events. We envisage the combined Rayleigh–Taylor–Kelvin–Helmholtz (R–T–K–H) model as a robust tool for respiratory events. This study highlights the distinct possibility of respiratory droplet formation over multiple instabilities and provides a fundamental understanding. We present the different dominant modes through a ternary phase diagram for three-dimensional numbers (Bond number and Weber numbers). Furthermore, this model can be extended phenomenologically to viscous fluids to satisfy mucus and saliva in the respiratory liquids.

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Temporal instability characteristics of Rayleigh–Taylor and Kelvin–Helmholtz mechanisms of an inviscid cylindrical interface

Vadivukkarasan¹

2020

Meccanica

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Destabilization characteristics of three dimensional Rayleigh–Taylor mechanism on a cylindrical interface

Cited by 6 publications

References 42 publications

On the hydrodynamic stability of an imploding rotating circular cylindrical liquid liner

On the hydrodynamic stability of an imploding rotating circular cylindrical liquid liner

A note on the stability characteristics of the respiratory events

Temporal instability characteristics of Rayleigh–Taylor and Kelvin–Helmholtz mechanisms of an inviscid cylindrical interface

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