Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-17T07:34:16.432Z Has data issue: false hasContentIssue false

Turbulent diffusion and degradation of polymer molecules in a pipe and boundary layer

Published online by Cambridge University Press:  19 April 2006

L. I. Sedov
Affiliation:
Institute of Mechanics, Moscow State University
V. A. Ioselevich
Affiliation:
Institute of Mechanics, Moscow State University
V. N. Pilipenko
Affiliation:
Institute of Mechanics, Moscow State University
N. G. Vasetskaya
Affiliation:
Institute of Mechanics, Moscow State University

Abstract

Results from a series of pipe-flow experiments using a range of water-soluble drag-reducing polymers are presented. Degradation has been investigated by means of multiple passes of the solutions through a pipe. A theory predicting drag reduction in pipe flow has been devised which agrees with the experimental results. Changes in polymer molecular weight due to degradation are taken into account. The analysis is then applied to a turbulent boundary layer with polymer injection.

Type
Research Article
Copyright
© 1979 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Berman, N. S. & George, W. K. 1974 Phys. Fluids 17, 250251.
Block, H., Moran, A. N. & Walker, S. H. 1974 The reduction of turbulent drag and the degradation of poly(styrene) in toluene. Proc. Int. Conf. Drag Reduct., Cambridge, pp. 3950.
Cox, L. R., North, A. M. & Dunlop, E. H. 1974 Evidence for a time-scale effect in drag reduction in solutions of polystyrene in toluene. Proc. Int. Conf. Drag Reduct., Cambridge, pp. C2/17C2/30.
Cramain, Ph. & Phillippides, Ph. 1975 Principaux facteurs physico-chimiques caractérisant l'efficacité des solutions de polymères en reduction de frottement hydrodynamique. Coll. int. CNRS, no. 233, pp. 349355.
Gutler, J. D., Zakin, J. L. & Patterson, G. K. 1975 J. Appl. Polymer Sci. 19, 32353240.
Hoyt, J. W. 1966 Polym. Letters, 4, 713717.
Hoyt, J. W. 1972 Trans. A.S.M.E.D 94 (2), 131.
Ioselevich, V. A. & Pilipenko, V. N. 1973 Dokl. Akad. Nauk S.S.S.R. 213, 808811; pp. 12661269 (in Russian).
Ioselevich, V. A. & Pilipenko, V. N. 1974 Fluid Dynamics (Izv. Akad. Nauk S.S.S.R., Mekhanika Zhidkosti i Gaza) 9, no. 1, pp. 4751.
Ivanyuth, V. F. & Chekalova, L. A. 1976 Inzhenerno-fizicheskiy Zh. 31, 225230 (in Russian).
Kim, O. K., Little, R. C., Patterson, R. L. & Ting, R. Y. 1974 Nature, Lond. 250, 408410.
Lumley, J. L. 1969 Ann. Rev. Fluid Mech. 1, 367384.
Meulen, J. H. van der 1974 J. Appl. Sci. 29, 161174.
Naudascher, E. 1972 Wasserwirtschaft 62, (2), 113 (in German).
Pilipenko, V. N. 1975 Fluid Dynamics (Izv. Akad. Nauk S.S.S.R., Mekhanika Zhidkosti i Gaza) 10, no. 5, pp. 751756.
Pilipenko, V. N. 1977 Simulation of turbulent flows in liquid with polymer additives. In Turbulentnye techeniya, pp. 145150. Moskva: Nauka (in Russian).
Poreh, M. J. 1970 Hydronautics 4, (5), pp. 151155.
Ram Arie, A. 1975 Polymers and their effectiveness in drag reduction. Coll. Int. CNRS, no. 233, pp. 271280 (Discussion).Google Scholar
Sedov, L. I., Ioselevich, V. A. & Pilipenko, V. N. 1977 Friction and heat transfer in near wall flows with polymer additives. In Turbulentnye techeniya, pp. 79. Moskva: Nauka (in Russian).
Sedov, L. I., Vasetskaya, N. G. & Ioselevich, V. A. 1974 Calculation of turbulent boundary layers with polymer additives. Proc. Int. Conf. Drag Reduct., Cambridge, pp. B6/69B6/88.
Sellin, R. H. J. 1974 Experiments with polymer additives in a long pipe line. Proc. Int. Conf. Drag Reduct., Cambridge, pp. G219G230 (discussion, pp. G47-G54).
Shin, H. 1965 Sc.D. Thesis, MIT, chem. Eng. Dept.
Spangler, J. G. 1969 Studies of viscous drag reduction with polymers including turbulence measurements and roughness effects. In Viscous Drag Reduction, pp. 131157. New York.
Vasetskaya, N. G. & Ioselevich, V. A. 1970 Fluid Dynamics (Izv. Akad. Nauk S.S.S.R., Mekhanika Zhidkosti i Gaza) 5, no. 2, pp. 289296.
Virk, P. S. 1971 J. Fluid Mech. 45, 225246.
Virk, P. S. 1975 A.I.C.hE. J. 21, 256656.
Virk, P. S., Merrill, E. W., Mickley, H. S. & Smith, K. A. 1966 The critical wall shear stress for reduction of turbulent drag in pipe flows by polyethylene oxides in dilute solution. In Modern Developments in the Mechanics of Continua (ed. S. Esckinazi). New York: Academic Press.
Virk, P. S., Merrill, E. W., Mickley, H. S. & Smith, K. A. 1967 J. Fluid Mech. 30, 305328.
Virk, P. S. & Merrill, E. W. 1969 The onset of dilute polymer solution phenomena. In Viscous Drag Reduction, pp. 107130. New York: Plenum.