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Laser-Doppler anemometer measurements of turbulent structure in drag-reducing fibre suspensions

Published online by Cambridge University Press:  20 April 2006

W. D. McComb
Affiliation:
School of Engineering, University of Edinburgh, Edinburgh EH9 3JL
K. T. J. Chan
Affiliation:
School of Engineering, University of Edinburgh, Edinburgh EH9 3JL

Abstract

A laser-Doppler anemometer (LDA) was used to measure turbulent velocities in drag-reducing fibre suspensions. Measurements of streamwise velocities (and, in one case, the circumferential velocity as well) were made in flow through a straight pipe at x/d = 190, and at Reynolds numbers in the range 1.4 × 104–5.3 × 104. The fibres used were chrysotile asbestos of high aspect ratio (∼ 106), at a concentration of 300 w.p.p.m. They were dispersed in an aqueous solution of a surfactant (0.5% by weight Aerosol OT). In some experiments, the fibre suspensions were supplemented by a drag-reducing polymer (Separan AP30) at a concentration of 150 w.p.p.m. A complete experiment involved passing a quantity of fibre suspension through the apparatus a number of times (at a given Reynolds number) and measuring the velocity distribution across the pipe during each pass. As the amount of drag reduction generally declined with the number of passes (i.e. due to fibre degradation), this provided a convenient way of varying the percentage drag reduction as an experimental parameter. Results were obtained for mean velocity and intensity profiles, autocorrelations, and one-dimensional energy spectra. The mean period of turbulent bursts was determined by measuring autocorrelations with short sampling times.

At the lowest Reynolds number (Re = 1.4 × 104), drag reductions of about 70% were obtained during the first two passes. This was accompanied by a reduction in the streamwise intensity below the level obtained in the surfactant solution alone. (Note: The opposite behaviour is found in drag-reducing polymer solutions, where intensity levels are larger than those in the solvent alone.) A measurement of the r.m.s. circumferential velocity showed an increased level (relative to surfactant alone) during this part of the experiment. During further passes, there was a transition to ‘polymer-like’ behaviour, with increased streamwise intensity, which subsequently declined with pass number (and hence drag reduction) towards the result for surfactant alone. This effect had previously been found in preliminary experiments at Re = 9 × 103 (McComb & Chan 1979). Repetition of the experiment a Re = 1.4 × 104, with the addition of Separan AP30, confirmed the existence of this transition from ‘fibre-like’ to ‘polymer-like’ drag reduction. In this case, the drag reduction was smaller (at about 60%), but the mixed suspension was much more resistant to degradation, with transition occurring at the ninth pass. However, such behaviour was not found at higher Reynolds numbers (Re = 3.2 × 104 and 5.3 × 104), in fibre suspensions where increased streamwise intensities occurred, even at high levels of drag reduction (about 70%).

Anomalous streamwise autocorrelations were found during ‘fibre-like’ drag reduction but in the ‘polymer-like’ regime they were very similar to those measured in polymer solution, and showed characteristically increased lengthscales. On the other hand, energy spectra were found to be anomalous in all cases and showed an energy deficit at lengthscales of the same order as the fibre length. Finally, mean bursting periods were found to be much increased, with the increases being about the same as those in polymer solutions at the same Reynolds number and percentage drag reduction.

Type
Research Article
Copyright
© 1985 Cambridge University Press

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References

Bertshy, J. R. & Abernathy, F. H. 1977 Modifications to laminar and turbulent boundary layers due to the addition of dilute polymer solutions. In Proc. 2nd Int. Conf. on Drag Reduction, Paper G1, Cambridge. BHRA.
Bobkowicz, A. J. & Gauvin, W. H. 1967 Chem. Engng Sci. 22, 229.
Chan, K. T. J. 1980 Turbulent flow of drag-reducing fibre suspensions. Ph.D. Thesis, Edinburgh University.
Ek, R., Moller, K. & Norman, B. 1979 The simultaneous measurement of velocity and concentration in fibre suspension flow. In Dynamic Measurements in Unsteady Flows, Proc. Dynamic Flow Conference 1978, Marseille and Baltimore.
Ellis, H. D. 1970 Nature 226, 352.
Hoyt, J. W. 1972a Trans. ASME D: J. Basic Engng 94, 258
Hoyt, J. W. 1972b Naval Undersea Center Rep. TP 299, San Diego.
Hoyt, J. W. 1977 Polymer drag reduction—a literature review, 1975–76. In Proc. 2nd Int. Conf. on Drag Reduction, Paper A1, Cambridge. BHRA.
Kerekes, R. J. & Garner, R. G. 1982 Transactions Canadian Pulp and Paper Association, September 1982, p. 53.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 J. Fluid Mech. 50, 133.
Lawn, C. J. 1971 J. Fluid Mech. 48, 477.
Lee, W. K., Vaseleski, R. C. & Metzner, A. B. 1974 AIChE J. 20, 128.
Little, R. C., Hansen, R. J., Hunsen, R. J., Kuri, O. K., Patterson, R. L. & Ting, R. Y. 1975 Ind. Engng Chem. Fund. 14, 283.
Logan, S. E. 1972 AIAA J. 10, 962.
Lumley, J. L. 1969 Ann. Rev. Fluid Mech. 1, 367.
Mccomb, W. D., Allan, J. & Greated, C. A. 1977 Phys. Fluids 20, 873.
Mccomb, W. D. & Chan, K. T. J. 1979 Nature 280, 45.
Mccomb, W. D. & Chan, K. T. J. 1981 Nature 292, 520.
Mccomb, W. D. & Rabie, L. H. 1982 AIChE J. 28, 558.
Mizushima, T. & Usui, H. 1977 Phys. Fluids Suppl. 20, S100.
Moyls, A. L. & Sabersky, R. H. 1978 Intl J. Heat Mass Transfer 21, 7.
Radin, I., Zakin, J. L. & Patterson, G. K. 1975 AIChE J. 21, 358.
Rudd, M. J. 1972 J. Fluid Mech. 51, 673.
Sharma, R. V., Seshadri, V. & Malhotra, R. C. 1979 Chem. Engng Sci. 34, 703.
Strickland, J. H. & Simpson, R. L. 1975 Phys. Fluids 18, 306.
Virk, P. S. 1975 AIChE J. 21, 625.
Virk, P. S., Mickley, H. S. & Smith, K. A. 1970 Trans. ASME E: J. Appl. Mech. 37, 488
Wickramasinghe, N. C. 1973 Light Scattering Functions for Small Particles with Applications in Astronomy. Bristol: Adam Hilger.