Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T04:48:23.625Z Has data issue: false hasContentIssue false
  • English
  • Français

Friction reduction in turbulent flow of polymer solution

Published online by Cambridge University Press:  29 March 2006

F. A. Seyer
F. A. Seyer
Affiliation:
Department of Chemical and Petroleum Engineering, University of Alberta, Edmonton, Alberta, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

Recent theoretical results for the turbulent flow of polymer solutions in round tubes have been extended to deduce the similarity laws for the boundary-layer flow of drag-reducing polymer solutions. The analysis shows directly how the drag reduction depends on the elastic properties of the fluid and thereby defines the levels of elasticity necessary to achieve significant reductions in drag.

Calculations employing available physical property measurements of highly elastic (0·1%) and moderately elastic (0·01%) polymer solutions indicate that, for boundary layers on large objects, drag reduction may not occur at polymer concentrations that are economically attractive. For example, at a Reynolds number of 109 the reduction in drag is predicted to be 60% and 10% for the concentrated and dilute polymer solutions respectively. Some savings in polymer however, may be realized by special injection techniques or fluid systems with specially tailored properties.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 4 , 9 March 1970 , pp. 807 - 819
Copyright
© 1970 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

Astarita, G. 1966 Can. J. Chem. Engng, 44, 59.
Astarita, G. 1967 Ind. Eng. Chem. Fund. 6, 257.
Astarita, G. 1968 Ind. Eng. Chem. Fund. 7, 171.
Astarita, G., Greco, G. & Nicodemo, L. 1969 Am. Ind. Chem. J. 15, 564.
Astarita, G. & Nicodemo, L. 1966 Am. Ind. Chem. J. 12, 478.
Bakewell, H. P. & Lumely, J. L. 1967 Phys. Fluids, 10, 1880.
Ballman, R. L. 1965 Rheologica Acta, 4, 137.
Bogue, D. C. & Metzner, A. B. 1963 Ind. Engng Chem. Fund. 2, 143.
Corino, E. R. & Brodkey, R. S. 1969 J. Fluid Mech. 37, 1.
Crawford, H. R. & Pruitt, G. T. 1963 Paper presented at Symp. on Non-Newtonian Fluid Mech.56th Annual A.I.Ch.E. meeting.
Elata, A., Lehrer, J. & Kahanovitz, A. 1966 Israel J. Tech. 4, 87.
Etter, I. & Schowalter, W. R. 1965 Trans. Soc. Rheol. 9, 351.
Fabula, A. G. 1965 Proc. Fourth Int. Cong. on Rheology, part 3. (Ed. E. H. Lee.) New York: Interscience.
Fabula, A. G. 1966 Proc. Sixth Naval Hydrodynamics Symposium. Washington, D.C.: Office Naval Research.
Granville, P. S. 1967 Hydromechanics Laboratory Report 2502. Washington, D.C.:Naval Ship Research and Dev. Center.
Hinze, J. O. 1959 Turbulence. New York: McGraw-Hill.
Klebanoff, P. S. 1955 N.A.C.A. Rep. 1247.
Lang, T. G. & Patrick, H. V. L. 1966 Paper presented at Annual meeting of A.S.M.E.
Laufer, J. 1954 N.A.C.A. Rep. 1174.
Marshall, R. J. & Metzner, A. B. 1967 Ind. Engng Chem. Fund. 6, 393.
Meister, B. J. & Biggs, R. D. 1969 A.I.Ch.E.J. 15, 643.
Merrill, E. W., Smith, K. A. & Chung, R. Y. C. 1966 A.I.Ch.E.J. 12, 809.
Metzner, A. B. 1967 A.I.Ch.E.J. 13, 316.
Metzner, A. B. & Astarita, G. 1967 A.I.Ch.E.J. 13, 550.
Metzner, A. B. & Metzner, A. P. 1969 Submitted for publication.
Metzner, A. B. & Park, M. G. 1964 J. Fluid Mech. 20, 291.
Metzner A. B. & Seyer, F. A. 1966 Proc. Sixth Naval Hydrodynamics Symposium. Washington, D.C.: Office Naval Research.
Millikan, C. B. 1939 Proc. 5th Int. Cong. Appl. Mech. New York: Wiley.
Nicodemo, L., Acierno, D. & Astarita, G. 1969 Chem. Engng Sci. 24, 1241.
Oliver, D. R. 1966 Can. J. Chem. Engng, 44, 100.
Patterson, G. K., Zakin, J. L. & Rodriguez, J. M. 1969 Ind. Engng Chem. 61, 22.
Runstaldler, P. W., Kline, S. J. & Reynolds, W. C. 1962 Stanford Univ. Dept. of Mech. Engng. Rep. MD-8.
Savins, J. G. 1965 A.I.Ch.E.J. 11, 673.
Savins, J. G. 1967 Rheologica Acta, 6, 323.
Savins, J. G. 1968a Paper presented at II Symposium on Viscous Drag Reduction, LTV Research Centre.
Savins, J. G. 1968b Rheologica Acta, 7, 88.
Schlichting, H. 1968 Boundary-Layer Theory, 6th ed. New York: McGraw-Hill.
Seyer, F. A. 1968 Ph.D. Thesis, University of Delaware.
Seyer, F. A. & Metzner, A. B. 1967 Can. J. Chem. Engng 45, 121.
Seyer, F. A. & Metzner, A. B. 1969 A.I.Ch.E.J. 15, 426.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Truesdell, C. 1964 Phys. Fluids, 7, 1134.
Virk, P. S., Merrill, E. W., Mickley, H. S. & Smith, K. A. 1967 J. Fluid Mech. 30, 305.
Vogel, W. M. & Patterson, A. M. 1964 Proc. Fifth Naval Hydrodynamics Symposium. Washington, D.C.: Office Naval Research.
Von Kabman, T. H. 1934 Proc. Third Int. Congr. Appl. Mechanics.
Wells, C. S. & Spangler, J. G. 1967 Phys. Fluids, 10, 1890.
Wetzel, J. M. & Tsai, F. Y. 1968 A.I.Ch.E.J. 14, 663.
White, A. 1967 Nature, Lond. 214, 585.