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Parallel flows with Soret effect in tilted cylinders

Published online by Cambridge University Press:  26 April 2006

David Jacqmin
David Jacqmin
Affiliation:
NASA Lewis Research Center, Cleveland, OH 44135, USA
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Abstract

Henry & Roux have recently conducted extensive numerical studies on the interaction of Soret separation with convection in cylindrical geometry. Many of their solutions exhibit parallel flow away from endwalls. We show that their parallel flow results can be matched by closed-form solutions. We find that solutions are non-unique in some parameter regions. Disappearance of one branch of solutions correlates with a sudden transition of Henry & Roux's results from a separated to a well-mixed flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 211 , February 1990 , pp. 355 - 372
Copyright
© 1990 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. US Government Printing Office.
Hart, J. E. 1971 On sideways diffusive instability. J. Fluid Mech. 49, 279–288.Google Scholar
Henry, D. & Roux, B. 1986 Three-dimensional numerical study of convection in a cylindrical diffusion cell: its influence on the separation of constituents. Phys. Fluids 29, 3562–3572.Google Scholar
Henry, D. & Roux, B. 1987 Three dimensional numerical study of convection in a cylindrical diffusion cell: inclination effect. Phys. Fluids 30, 1656–1666.Google Scholar
Henry, D. & Roux, B. 1988 Soret separation in a quasi-vertical cylinder. J. Fluid Mech. 195, 175–200.Google Scholar
Jacqmin, D. 1986 Convection of a gravity segregating fluid forced by a horizontal temperature gradient: An energy stability analysis In Mathematics Applied to Fluid Mechanics and Stability, pp. 263–273. SIAM.
Jacqmin, D. 1989 The interaction of natural convection and gravity segregation in oil-gas reservoirs. Reservoir Engng (to appear).Google Scholar
Paliwal, R. C. & Chen, C. F. 1980 Double-diffusive instability in an inclined fluid layer. Part 2. Stability analysis. J. Fluid Mech. 98, 769–785.Google Scholar