Turbulent drag reduction in a closed flow system: Boundary layer versus bulk effects

Physics of Fluids

Volumn 10, Issue 2, 1998, Pages 426-436

  Cadot, Olivier ^a   Bonn, Daniel ^b   Douady, Stéphane ^b  

^a UNIVERSITÉ DU HAVRE   (France)

^b LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER; DRAG REDUCING ADDITIVE; POLYMER; TURBULENT FLOW;

ADDITIVES; BOUNDARY LAYERS; DRAG COEFFICIENT; POLYMERS; TURBULENT FLOW;

EID: 0031812378     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869532     Document Type: Article

References (37)

1. B. A. Toms, "Observation on the flow of linear polymer solutions through straight tubes at large Reynolds numbers," in the Proceedings of the 1st International Rheological Congress (North-Holland, Amsterdam, 1948).
2. J. L. Lumley, "Drag reduction by additives," Annu. Rev. Fluid Mech. 1, 367 (1969); and J. L. Lumley, "Drag reduction in turbulent flows by polymer additives," J. Polym. Sci. 7, 263 (1973).
3. J. L. Lumley, "Drag reduction by additives," Annu. Rev. Fluid Mech. 1, 367 (1969); and J. L. Lumley, "Drag reduction in turbulent flows by polymer additives," J. Polym. Sci. 7, 263 (1973).
4. J. K. Bhattacharjee and D. Thirumalai, "Polymer-induced drag reduction in turbulent flows," Phys. Rev. E 53, 546 (1994).
5. M. Tabor and P. G. de Gennes, "A cascade theory of drag reduction," Europhys. Lett. 2, 519 (1986).
6. M. T. Landahl, "Dynamics of boundary layer turbulence and the mechanism of drag reduction," Phys. Fluids 20, 55 (1977).
7. See the books by W. D. McComb, The Physics of Fluid Turbulence (Clarendon, Oxford, 1990); and A. Gyr and H. W. Bewersdorff, Drag Reduction of Turbulent Flow by Additives (Kluwer, Dordrecht, 1995); and references therein.
8. See the books by W. D. McComb, The Physics of Fluid Turbulence (Clarendon, Oxford, 1990); and A. Gyr and H. W. Bewersdorff, Drag Reduction of Turbulent Flow by Additives (Kluwer, Dordrecht, 1995); and references therein.
9. M. M. Reischman and W. G. Tiederman, "Laser-Doppler anemometer measurements in drag reducing channel flows," J. Fluid Mech. 70, 369 (1975).
10. J. Vlegaar and M. Tels, "Drag reduction by polymer threads," Chem. Eng. Sci. 28, 965 (1973).
11. H. W. Bewersdorff, "Heterogene widerstandsverminderung in turbulenten rohrströmungen," Rheol. Acta 23, 522 (1984).
12. B. Frings, "Heterogeneous drag reduction in turbulent pipe flows using various injection techniques," Rheol. Acta 27, 92 (1988).
13. H. W. Bewersdorff, A. Gyr, K. Hoyer, and A. Tsinober, "An investigation of possible mechanisms of heterogeneous drag reduction in pipe and channel flows," Rheol. Acta 32, 140 (1993).
14. W. D. McComb and L. H. Rabie, "Developement of local drag reduction-due to nonuniform polymer concentration," Phys. Fluids 22, 183 (1979).
15. W. D. McComb and L. H. Rabie, "Local drag reduction due to injection of polymer solutions into turbulent flow in a pipe," AIChE J. 28, 547 (1982).
16. P. Tong, W. J. Goldburg, and J. S. Huang, "Measured effects of polymer additives on turbulent-velocity fluctuations at various length scales," Phys. Rev. A 45, 7231 (1992).
17. P. H. van Dam and G. H. W. Egdam, "Distribution of turbulent velocity fluctuations in a drag-reducing solution," J. Phys. Chem. 98, 1939 (1994).
18. D. Bonn, Y. Couder, P. H. J van Dam, and S. Douady, "From small scales to large scales in three-dimensional turbulence: The effect of diluted polymers," Phys. Rev. E 47, R28 (1993).
19. F. Amselmet, Y. Gagne, and E. J. Hopfinger, "High-order velocity structure functions in turbulent shear flows," J. Fluid Mech. 140, 63 (1984).
20. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941); and 32, 16 (1941). English translation pp. 151-155, "The local structure of turbulence in incompressible viscous fluid for very high Reynolds number," and pp. 159-161, "Dissipation of energy in the locally isotropic turbulence," in Turbulence : Classic papers on statisticals theory, edited by S. K. Friedlander and L. Topper (Interscience, New York).
21. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941); and 32, 16 (1941). English translation pp. 151-155, "The local structure of turbulence in incompressible viscous fluid for very high Reynolds number," and pp. 159-161, "Dissipation of energy in the locally isotropic turbulence," in Turbulence : Classic papers on statisticals theory, edited by S. K. Friedlander and L. Topper (Interscience, New York).
22. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941); and 32, 16 (1941). English translation pp. 151-155, "The local structure of turbulence in incompressible viscous fluid for very high Reynolds number," and pp. 159-161, "Dissipation of energy in the locally isotropic turbulence," in Turbulence : Classic papers on statisticals theory, edited by S. K. Friedlander and L. Topper (Interscience, New York).
23. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941); and 32, 16 (1941). English translation pp. 151-155, "The local structure of turbulence in incompressible viscous fluid for very high Reynolds number," and pp. 159-161, "Dissipation of energy in the locally isotropic turbulence," in Turbulence : Classic papers on statisticals theory, edited by S. K. Friedlander and L. Topper (Interscience, New York).
24. S. Douady, Y. Couder, and M.-E. Brachet, "Direct observation of intense vorticity filament in turbulence," Phys. Rev. Lett. 67, 983 (1991).
25. S. Douady and Y. Couder, "On the dynamical structures observed in 3D turbulence," in Turbulence in Extended Systems, edited by R. Benzi, C. Basdevant, and C. Ciliberto (Nova Science, Commack, NY, 1993), pp. 3-17.
26. E. Villermaux, B. Sixou, and Y. Gagne, "Intense vortical structures in grid-generated turbulence," Phys. Fluids 7, 2008 (1995).
27. S. Fauve, C. Laroche, and B. Castaing, "Pressure fluctuations in a swirling flow," J. Phys. 3, 271 (1993).
28. O. Cadot, S. Douady, and Y. Couder, "Characterization of the low pressure filaments in a three-dimensional shear flow," Phys. Fluids 7, 630 (1995).
29. O. Cadot, "Influence of the low pressure filaments on the velocity statistics in a turbulent shear flow," in Small-Scale Structures in Three dimensional Hydro- and Magnetohydro-dynamic Turbulence, Lectures Notes in Physics, edited by M. Meneguzzi, A. Pouquet, and P.-L. Sulem (Springer-Verlag), Berlin, 1995, Vol. 462, p. 89.
30. E. D. Siggia, "Numerical study of small-scale intermittency in three dimensional turbulence," J. Fluid Mech. 107, 37 (1981).
31. A. Pumir, "A numerical study of pressure fluctuations in three dimensional incompressible homogeneous isotropic turbulence," Phys. Fluids 6, 2071 (1994).
32. O. Cadot, Y. Couder, A. Daerr, S. Douady, and A. Tsinober, "Energy injection in closed turbulent flow: Stirring through boundary-layers versus inertial stirring," Phys. Rev. E 56, 427 (1997).
33. See, for instance, the discussion in chap. 14 of W. D. of McComb, Ref. 6.
34. H. Schlichting, Boundary-Layer Theory (Pergamon, London, 1955).
35. O. Cadot, "Etude des structures de basse pression dans la turbulence développée," These, Université Denis Diderot Paris 7, 1995.
36. P. S. Virk, "Drag reduction in rough pipes," J. Fluid Mech. 45, 225 (1970).
37. W.-M. Kuicke, M. Kotten, and H. Grãger, "Drag reduction phenomenon with special emphasis on homogeneous polymer solutions," Advances in Polymer Science (Springer, Berlin, 1989), Vol. 89.