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Turbulent structure in a channel flow with polymer injection at the wall

Published online by Cambridge University Press:  26 April 2006

D. T. Walker  and
W. G. Tiederman
D. T. Walker
Affiliation:
Department of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI 48109-2145, USA
W. G. Tiederman
Affiliation:
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
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Abstract

Two-component laser velocimeter measurements in a fully developed turbulent water channel flow with polymer injection were used to examine the effect of polymer injection on the Reynolds stresses and the production terms in the Reynolds stress transport equations. These measurements show that while the root-mean-square (r.m.s.) fluctuation level of the streamwise velocity was increased, the r.m.s. of the wall-normal velocity and the Reynolds shear stress were reduced. The decrease in the Reynolds shear stress resulted from altered contributions from the quadrants of the (u,v)-plane. Although the Reynolds shear stress decreased, the magnitude of the velocity fluctuation products which most contributed to that stress increased. Production of the streamwise Reynolds normal stress was decreased but production of the Reynolds shear stress was unchanged. This shows that the processes represented by pressure–strain correlation terms in the Reynolds stress transport equations may be directly affected by the polymer.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 218 , September 1990 , pp. 377 - 403
Copyright
© 1990 Cambridge University Press

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References

Argumedo, A., Tung, T. T. & Chang, K. I., 1978 Rheological property measurements of dragreducing polyacrylamide solutions. J. Rheol. 22, 449.Google Scholar
Berman, N. S.: 1989 Polymer contributions to transport equations. In Drag Reduction in Fluid Flows: Techniques for Friction Control (ed. R. J. H. Sellin and R. T. Moses), p. 21. Ellis Horwood.
Berner, C. & Scrivener, O., 1980 Drag reduction and turbulence in dilute polymer solutions. In Viscous Flow Drag Reduction (ed. G. R. Hough), p. 290. AIAA.
Bewersdorff, H. W.: 1984 Effect of a centrally injected polymer thread on turbulent properties in pipe flows. In Drag Reduction (ed. R. J. H. Sellin and R. T. Moses), p. B4. University of Bristol.
Bradshaw, P.: 1978 Turbulence. Topics in Applied Physics, Vol. 12, p. 25. Springer.
Cho, Y. I., Hartnett, J. P. & Park, Y. S., 1983 Solvent effects on the rheology of aqueous polyacrylamide solutions. Chem. Engng Commun. 21, 369.Google Scholar
Edwards, R. V.: 1987 Report of the special panel on statistical bias problems in laser anemometry. Trans. ASME I: J. Fluids Engng 109, 89.Google Scholar
Finnicum, D. S. & Hanratty, T. J., 1985 Turbulent normal-velocity fluctuations close to a wall. Phys. Fluids 28, 1654.Google Scholar
Gould, R. D., Stevenson, W. H. & Thompson, H. D., 1989 A parametric study of statistical bias in laser Doppler velocimetry. AIAA J. 27, 1140.Google Scholar
Hoyt, J. W.: 1984 Some highlights in the field of polymer drag reduction. In Drag Reduction (ed. R. J. H. Sellin & R. T. Moses), p. I.1–1. University of Bristol.
Hussain, A. K. M. F. & Reynolds, W. C. 1975 Measurements in fully developed turbulent channel flow. Trans. ASME I: J. Fluids Engng 97, 568.Google Scholar
Karpuk, M. E. & Tiederman, W. G., 1976 Effect of finite-size probe volume upon laser-Doppler anemometry measurements. AIAA J. 14, 1099.Google Scholar
Kim, J., Moin, P. & Moser, R., 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133.Google Scholar
Kreplin, H. & Eckelmann, H., 1979 Behaviour of the three fluctuating velocity components in the wall region of a turbulent channel flow. Phys. Fluids 22, 1233.Google Scholar
Ligrani, P. M. & Bradshaw, P., 1987 Spatial resolution and measurement of turbulence in the viscous sublayer. Exps Fluids 5, 407.Google Scholar
Logan, S. E.: 1972 Laser velocimeter measurements of Reynolds stress and turbulence in dilute polymer solutions. AIAA J. 7, 962.Google Scholar
Luchik, T. S. & Tiederman, W. G., 1986 Effect of spanwise probe volume length on laser velocimeter measurements in wall bounded turbulent flows. Exps Fluids, 3, 339.Google Scholar
Luchik, T. S. & Tiederman, W. G., 1987 Timescale and structure of ejections and bursts in turbulent channel flows. J. Fluid Mech. 174, 529.Google Scholar
Luchik, T. S. & Tiederman, W. G., 1988 Turbulent structure in low concentration drag-reducing channel flows. J. Fluid Mech. 190, 241.Google Scholar
Mansour, N. N., Kim, J. & Moin, P., 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 15.Google Scholar
McComb, W. D. & Rabie, L. H., 1982 Local drag reduction due to injection of polymer solutions into turbulent flow in a pipe. Part I: Dependence on local polymer concentration: Part II: Laser-Doppler measurements of turbulent structure. AICHE J. 28, 547.Google Scholar
McLaughlin, D. K. & Tiederman, W. G., 1973 Biasing correction for individual realization of laser velocimeter measurements in turbulent flows. Phys. Fluids 16, 2082.Google Scholar
Metzner, A. B. & Astarita, G., 1967 External flows of viscoelstic materials: Fluid property restrictions on the use of velocity-sensitive probes. AIChE J. 13, 550.Google Scholar
Moin, P. & Kim, J., 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341.Google Scholar
Moser, R. D. & Moin, P., 1987 The effects of curvature in wall bounded turbulent flows. J. Fluid Mech. 175, 479.Google Scholar
Mysels, K.: 1949 Flow of thickened fluids. US Patent No. 2492473.
Nagano, Y. & Hishida, M., 1985 Production and dissipation of turbulent velocity and temperature fluctuations in fully developed pipe flow. In Proc. Fifth Intl Symp. on Turbulent Shear Flows, Cornell University, p. 14.19.Google Scholar
Reischman, M. M. & Tiederman, W. G., 1975 Laser Doppler anemometer measurements in dragreducing channel flows. J. Fluid Mech. 70, 369.Google Scholar
Rudd, M. J.: 1972 Velocity measurements made with the laser Dopplermeter in turbulent pipe flow of a dilute polymer solution. J. Fluid Mech. 51, 673.Google Scholar
Ryskin, G.: 1987 Calculation of the effects of a polymer additive on converging flow. J. Fluid Mech. 178, 423.Google Scholar
Spalart, P.: 1988 Direct simulation of a turbulent boundary layer up to Rθ = 1410. J. Fluid Mech. 187, 61.Google Scholar
Tiederman, W. G., Luchik, T. S. & Bogard, D. G., 1985 Wall layer structure and drag reduction. J. Fluid Mech. 156, 419.Google Scholar
Toms, B. A.: 1949 Observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers. In Proc. Intl Rheological Congress, Holland, 1948, Vol. ii, pp. 135–141. North-Holland.
Tsai, C. F. & Darby, R., 1978 Nonlinear viscoelastic properties of very dilute drag-reducing polymer solutions. J. Rheol. 22, 219.Google Scholar
Walker, D. T. & Tiederman, W. G., 1987 Near-field effects of polymer wall injection on turbulent channel flow. In Proc. Twentieth Midwest Mechanics Conference, vol. 14a (ed. W. Sodel & J. F. Hamilton), p. 76. Purdue University.
Walker, D. T. & Tiederman, W. G., 1989 The concentration field in a turbulent channel flow with polymer injection at the wall. Exp. Fluids 8, 86.Google Scholar
Walker, D. T., Tiederman, W. G. & Luchik, T. S., 1986 Optimization of the injection process for drag reducing additives. Exps Fluids 4, 114.Google Scholar
Wei, T. & Willmarth, W. W., 1989 Reynolds-number effects on the structure of a turbulent channel flow. J. Fluid Mech. 204, 57.Google Scholar
Willmarth, W. W., Wei, T. & Lee, C. O., 1987 Laser anemometer measurements of Reynolds stress in a turbulent channel flow with drag reducing polymer additives. Phys. Fluids 30, 933.Google Scholar