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Laminar-film condensation/evaporation on a vertically fluted surface

Published online by Cambridge University Press:  21 April 2006

R. E. Johnson  and
A. T. Conlisk
R. E. Johnson
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
A. T. Conlisk
Affiliation:
Department of Mechanical Engineering, The Ohio State University, Columbus OH 43210, USA
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Abstract

Laminar-film flow with condensation or evaporation on a vertical fluted cylinder is examined. A kinematic wave equation describing the evolution of the film profile is obtained and solutions presented. The film profile evolves owing to axial, gravity-driven flow and transverse, surface-tension-driven flow from the crests to the valleys of the fluted cylinder. In the case of condensation the majority of the film reaches a uniform thickness and consequently there is a significant improvement in heat transfer compared with the classical unfluted result where the film thickens in an unbounded fashion. For evaporation a critical value of a parameter which involves the ratio of the Weber number and the gradient of the surface curvature is found below which the film totally drys out and above which the fluid funnels into tapering rivulets and only partially drys out. Typical dry-out lines are presented. For short cylinders the evaporative mass transfer for a fluted cylinder is slightly greater than that predicted for an unfluted case. However, when the cylinder is long the mass transfer is far less for a fluted cylinder owing to the reduction in film area associated with partial film dry out.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 184 , November 1987 , pp. 245 - 266
Copyright
© 1987 Cambridge University Press

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References

Gregorig, R. 1954 Hautkondensation an Funegewellton Oberflachen bei Berucksichtigung der Oberflachenspannungen. Z. Angew. Math. Phys. 5, 36.Google Scholar
Honda, H. & Fujii, T. 1984 Semi-empirical equation for condensation heat transfer on vertical fluted tubes. In Fundamentals of Phase Change: Boiling and Condensation (ed. C. T. Avedisian & T. M. Rudy), Winter Annual Meeting of the ASME, New Orleans, LA, 9–14 December 1984.
Joos, F. M. 1984 Thin liquid films on arbitrary surfaces with condensation or evaporation. In Fundamentals of Phase Change: Boiling and Condensation (ed. C. T. Avedisian & T. M. Rudy), Winter Annual Meeting of ASME, New Orleans, LA, 9–14 December 1984.
Mei, C. C. 1966 Nonlinear gravity waves in a thin sheet of viscous fluid. J. Maths & Phys. 45, 266.Google Scholar
Mori, Y., Hijikata, K., Huasawa, S. & Nakayama, W. 1979 Optimized performance of condensors with outside condensing surface. In Condensation Heat Transfer (ed. P. J. Marto & P. G. Kroeger), 18th Annual Heat Transfer Conf., San Diego, California, 6–8 August 1979, p. 55.
Nusselt, W. 1916 Die Oberflachenkondensation des Wasserdampfes. Z. Vereines deutscher Ing. 60, 569.Google Scholar
Owens, W. L. 1978 Correlation of thin film evaporation heat transfer coefficients for horizontal tubes. In Proc. Fifth Ocean Thermal Energy Conversion Conference, Miami, Florida, 20–22 Feb. 1978, p. VI–71.
Panchal, C. B. & Bell, K. J. 1979 Analyses of Nusselt-type condensation on a vertical fluted surface. In Condensation Heat Transfer (ed. P. J. Marto & P. G. Kroeger), 18th Annual Heat Transfer Conference, San Diego, California, 6–8 August 1979, p. 45.
Rothfus, R. R. & Lavi, G. H. 1978 Vertical falling film heat transfer: literature summary. In Proc. Fifth Ocean Thermal Energy Conversion Conference, Miami, Florida, 20–22 Feb. 1978, p. VI–90.
Sideman, S. & Levin, A. 1979 Effect of the configuration on heat transfer to gravity driven films evaporating on grooved surfaces. Desalination 31, 7.Google Scholar
Sideman, S., Levin, A. & Moalem-Maron, D. 1982 Film flow and heat transfer on a vertically grooved surface. In Proc. Seventh Intl Heat Transfer Conf., Munich (ed. U. Grigull et al.), V, 153.
Webb, R. L. 1979 A generalized procedure for the design and optimization of fluted Gregorig condensing surfaces. Trans. ASME C: J. Heat Transfer 101, 335.Google Scholar
Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley. Yih, C. S. 1963 Stability of liquid flow down an inclined plane. Phys. Fluids 6, 321.Google Scholar