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Research Papers: Fundamental Issues and Canonical Flows

Rayleigh–Taylor Instability of Swirling Annular Layer With Mass Transfer

[+] Author and Article Information
Mukesh Kumar Awasthi

Department of Mathematics,
Babasaheb Bhimrao Ambedkar University,
Lucknow 226025, India
e-mail: mukeshiitr.kumar@gmail.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 24, 2018; final manuscript received November 29, 2018; published online January 7, 2019. Assoc. Editor: Daniel Livescu.

J. Fluids Eng 141(7), 071202 (Jan 07, 2019) (5 pages) Paper No: FE-18-1361; doi: 10.1115/1.4042174 History: Received May 24, 2018; Revised November 29, 2018

The interfacial instability of Rayleigh–Taylor type at the cylindrical boundary involving the liquid phase and vapor phase of a fluid has been considered when the vapor is warmer than the liquid. We use viscous potential flow theory to include the viscosity at the interface. To examine the stability of the arrangement, the normal-mode analysis is performed together with the effect of heat as well as mass transfer and free swirl. The physical system consists of an annular fluid layer restricted in a cylinder with vapor phase in the core. This work investigates the effect of a variety of variables on the instability of the interface. It is found that when the heat transfer constant increases, the range of stability increases. Also, the range of stability increases faster in the presence of swirling.

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References

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Awasthi, M. K. , 2013, “ Nonlinear Analysis of Rayleigh–Taylor Instability of Cylindrical Flow With Heat and Mass Transfer,” ASME J. Fluids Eng., 135(6), p. 061205. [CrossRef]
Awasthi, M. K. , Asthana, R. , and Agrawal, G. S. , 2012, “ Viscous Potential Flow Analysis of Nonlinear Rayleigh–Taylor Instability With Heat and Mass Transfer,” Microgravity Sci. Technol., 24(5), pp. 351–363. [CrossRef]
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Figures

Grahic Jump Location
Fig. 1

Schematics of the annular system

Grahic Jump Location
Fig. 2

Results comparing Eqs. (19) and (20) (Ω=0.0 and 2.0)

Grahic Jump Location
Fig. 3

Effect of heat transfer constant α: h1=0.1

Grahic Jump Location
Fig. 4

Effect of swirl Ω: h1=0.5  and α=5

Grahic Jump Location
Fig. 5

Effect of swirl on growth rate: α=5

Grahic Jump Location
Fig. 6

Effect of vapor thickness h1

Grahic Jump Location
Fig. 7

Effect of liquid/vapor viscosity: h1=0.5, α=1,  and  Ω=1

Tables

Errata

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