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Film stability in a vertical rotating tube with a core-gas flow.The linear hydrodynamic stability of a thin-liquid layer flowing along the inside wall of a vertical tube rotating about its axis in the presence of a core-gas flow is examined. The stability problem is formulated under the conditions that the liquid film is thin, the density and viscosity ratios of gas to liquid are small and the relative (axial) pressure gradient in the gas is of the same order as gravity. The resulting eigenvalue problem is first solved by a perturbation method appropriate to axisymmetric long-wave disturbances. The damped nature (to within the thin-film and other approximations made) of the nonaxisymmetric and short-wave disturbances is noted. In view of the limitations on a truncated perturbation solution when the disturbance wavenumber is not small, an initial value method using digital computer is presented. Stability characteristics of neutral, growing, and damped modes are presented showing the influences of rotation, surface tension, and the core-gas flow. Energy balance in a neutral mode is also illustrated.
Document ID
19720028687
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Sarma, G. S. R.
Lu, P. C.
Ostrach, S.
(Case-Western-Reserve University Cleveland, Ohio, United States)
Date Acquired
August 6, 2013
Publication Date
November 1, 1971
Publication Information
Publication: Physics of Fluids
Volume: 14
Subject Category
Thermodynamics And Combustion
Accession Number
72A12353
Distribution Limits
Public
Copyright
Other

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