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Relaminarising pipe flow by wall movement

Published online by Cambridge University Press:  28 March 2019

D. Scarselli*
Affiliation:
Institute of Science and Technology Austria, Am Campus 1, A-3400 Klosterneuburg, Austria
J. Kühnen
Affiliation:
Institute of Science and Technology Austria, Am Campus 1, A-3400 Klosterneuburg, Austria University of Applied Sciences Wiener Neustadt, Johannes Gutenberg-Straße 3, A-2700 Wiener Neustadt, Austria
B. Hof
Affiliation:
Institute of Science and Technology Austria, Am Campus 1, A-3400 Klosterneuburg, Austria
*
Email address for correspondence: [email protected]

Abstract

Following the recent observation that turbulent pipe flow can be relaminarised by a relatively simple modification of the mean velocity profile, we here carry out a quantitative experimental investigation of this phenomenon. Our study confirms that a flat velocity profile leads to a collapse of turbulence and in order to achieve the blunted profile shape, we employ a moving pipe segment that is briefly and rapidly shifted in the streamwise direction. The relaminarisation threshold and the minimum shift length and speeds are determined as a function of Reynolds number. Although turbulence is still active after the acceleration phase, the modulated profile possesses a severely decreased lift-up potential as measured by transient growth. As shown, this results in an exponential decay of fluctuations and the flow relaminarises. While this method can be easily applied at low to moderate flow speeds, the minimum streamwise length over which the acceleration needs to act increases linearly with the Reynolds number.

Type
JFM Papers
Copyright
© 2019 Cambridge University Press 

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References

Badri Narayanan, M. A. 1968 An experimental study of reverse transition in two-dimensional channel flow. J. Fluid Mech. 31, 609623.Google Scholar
Barkley, D., Song, B., Mukund, V., Lemoult, G., Avila, M. & Hof, B. 2015 The rise of fully turbulent flow. Nature 526 (7574), 550553.Google Scholar
Brandt, L. 2014 The lift-up effect: the linear mechanism behind transition and turbulence in shear flows. Eur. J. Mech. (B/Fluids) 47, 8096.Google Scholar
Daniello, R. J., Waterhouse, N. E. & Rothstein, J. P. 2009 Drag reduction in turbulent flows over superhydrophobic surfaces. Phys. Fluids 21 (8), 085103.Google Scholar
Fukagata, K., Sugiyama, K. & Kasagi, N. 2009 On the lower bound of net driving power in controlled duct flows. Physica D 238 (13), 10821086.Google Scholar
Greenblatt, D. & Moss, E. A. 1999 Pipe-flow relaminarization by temporal acceleration. Phys. Fluids 11 (11), 34783481.Google Scholar
Greenblatt, D. & Moss, E. A. 2004 Rapid temporal acceleration of a turbulent pipe flow. J. Fluid Mech. 514, 6575.Google Scholar
He, S. & Seddighi, M. 2013 Turbulence in transient channel flow. J. Fluid Mech. 715, 60102.Google Scholar
He, S. & Seddighi, M. 2015 Transition of transient channel flow after a change in Reynolds number. J. Fluid Mech. 764, 395427.Google Scholar
Hof, B., de Lozar, A., Avila, M., Tu, X. & Schneider, T. M. 2010 Eliminating turbulence in spatially intermittent flows. Science 327 (5972), 14911494.Google Scholar
Joseph, P. & Tabeling, P. 2005 Direct measurement of the apparent slip length. Phys. Rev. E 71 (3), 035303.Google Scholar
Kühnen, J., Scarselli, D. & Hof, B.2018a Relaminarization of pipe flow by means of 3d-printed shaped honeycombs. arXiv:1809.07625.Google Scholar
Kühnen, J., Scarselli, D., Schaner, M. & Hof, B. 2018b Relaminarization by steady modification of the streamwise velocity profile in a pipe. Flow Turbul. Combust. 100 (4), 919943.Google Scholar
Kühnen, J., Song, B., Scarselli, D., Budanur, N. B., Riedl, M., Willis, A. P., Avila, M. & Hof, B. 2018c Destabilizing turbulence in pipe flow. Nat. Phys. 14 (4), 386390.Google Scholar
Lee, T., Charrault, E. & Neto, C. 2014 Interfacial slip on rough, patterned and soft surfaces: a review of experiments and simulations. Adv. Colloid Interface Sci. 210, 2138.Google Scholar
Lefebvre, P. J. & White, F. M. 1989 Experiments on transition to turbulence in a constant-acceleration pipe flow. Trans. ASME J. Fluids Engng 111 (4), 428432.Google Scholar
Marensi, E., Willis, A. P. & Kerswell, R. R. 2019 Stabilisation and drag reduction of pipe flows by flattening the base profile. J. Fluid Mech. 863, 850875.Google Scholar
Matisse, P. & Gorman, M. 1984 Neutrally buoyant anisotropic particles for flow visualization. Phys. Fluids 27 (4), 759760.Google Scholar
Meseguer, A. & Trefethen, L. N. 2003 Linearized pipe flow to Reynolds number 107 . J. Comput. Phys. 186 (1), 178197.Google Scholar
Modi, V. J. 1997 Moving surface boundary-layer control: a review. J. Fluids Struct. 11 (6), 627663.Google Scholar
Mohanty, A. K. & Asthana, S. B. L. 1979 Laminar flow in the entrance region of a smooth pipe. J. Fluid Mech. 90 (3), 433447.Google Scholar
Munshi, S. R., Modi, V. J. & Yokomizo, T. 1999 Fluid dynamics of flat plates and rectangular prisms in the presence of moving surface boundary-layer control. J. Wind Engng Ind. Aerodyn. 79, 3760.Google Scholar
Neto, C., Evans, D., Bonaccurso, E., Butt, H.-J. & Craig, V. S. J. 2005 Boundary slip in Newtonian liquids: a review of experimental studies. Rep. Prog. Phys. 68 (12), 28592897.Google Scholar
Nishi, M., Unsal, B., Durst, F. & Biswas, G. 2008 Laminar-to-turbulent transition of pipe flows through puffs and slugs. J. Fluid Mech. 614, 425446.Google Scholar
Ou, J. & Rothstein, J. P. 2005 Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Phys. Fluids 17 (10), 103606.Google Scholar
Pennell, W. T., Eckert, E. R. G. & Sparrow, E. M. 1972 Laminarization of turbulent pipe flow by fluid injection. J. Fluid Mech. 52, 451464.Google Scholar
Rothstein, J. P. 2010 Slip on superhydrophobic surfaces. Annu. Rev. Fluid Mech. 42 (1), 89109.Google Scholar
Saranadhi, D., Chen, D., Kleingartner, J. A., Srinivasan, S., Cohen, R. E. & McKinley, G. H. 2016 Sustained drag reduction in a turbulent flow using a low-temperature Leidenfrost surface. Sci. Adv. 2 (10), e1600686.Google Scholar
Schmid, P. J. & Henningson, D. S. 2001 Stability and Transition in Shear Flows. Springer.Google Scholar
Selvam, K., Peixinho, J. & Willis, A. P. 2015 Localised turbulence in a circular pipe flow with gradual expansion. J. Fluid Mech. 771, R2.Google Scholar
Sibulkin, M. 1962 Transition from turbulent to laminar pipe flow. Phys. Fluids 5, 280.Google Scholar
Sreenivasan, K. R. 1982 Laminarescent, relaminarizing and retransitional flows. Acta Mechanica 44, 148.Google Scholar
Watanabe, K., Udagawa, Y. & Udagawa, H. 1999 Drag reduction of newtonian fluid in a circular pipe with a highly water-repellent wall. J. Fluid Mech. 381, 225238.Google Scholar
Wygnanski, I. J. & Champagne, F. H. 1973 On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J. Fluid Mech. 59 (2), 281335.Google Scholar
Yao, X., Song, Y. & Jiang, L. 2011 Applications of bio-inspired special wettable surfaces. Adv. Mater. 23 (6), 719734.Google Scholar

Scarselli et al. supplementary movie

Relaminarisation of a turbulent pipe flow by wall movement for Re=5000, s=9D and Uw=Ub.

Download Scarselli et al. supplementary movie(Video)
Video 8 MB