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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July 2019
Research-Article
Rayleigh–Taylor Instability of Swirling Annular Layer With Mass Transfer
Mukesh Kumar Awasthi
Mukesh Kumar Awasthi
Department of Mathematics,
Babasaheb Bhimrao Ambedkar University,
Lucknow 226025, India
e-mail: mukeshiitr.kumar@gmail.com
Babasaheb Bhimrao Ambedkar University,
Lucknow 226025, India
e-mail: mukeshiitr.kumar@gmail.com
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Mukesh Kumar Awasthi
Department of Mathematics,
Babasaheb Bhimrao Ambedkar University,
Lucknow 226025, India
e-mail: mukeshiitr.kumar@gmail.com
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. Jul 2019, 141(7): 071202 (5 pages)
Published Online: January 7, 2019
Article history
Received:
May 24, 2018
Revised:
November 29, 2018
Citation
Awasthi, M. K. (January 7, 2019). "Rayleigh–Taylor Instability of Swirling Annular Layer With Mass Transfer." ASME. J. Fluids Eng. July 2019; 141(7): 071202. https://doi.org/10.1115/1.4042174
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