Applied Mathematics and Mechanics >
Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow
Received date: 2016-10-03
Revised date: 2016-12-21
Online published: 2017-08-01
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 11402088 and 51376062), the Opening Fund of State Key Laboratory of Nonlinear Mechanics, and the Fundamental Research Funds for the Central Universities (No. 2107MS022)
The response of turbulent enstrophy to a sudden implementation of spanwise wall oscillation (SWO) is studied in a turbulent channel flow via direct numerical simulation. In the beginning of the application of SWO, a significant correlation is formed between ω'y and ω'z. A transient growth of turbulent enstrophy occurs, which directly enhances turbulent dissipation and drifts the turbulent flow towards a new lower-drag condition. Afterwards, the terms related to the stretching of vorticity (ωx, ω'y, and ωz), the inclination of ω'y by ∂w/∂y, the turn of ωz by ∂v'/∂z, and the horizontal shear of ωz by ∂w'/∂x are suppressed due to the presence of SWO, leading to attenuation of the turbulent enstrophy.
Mingwei GE, Guodong JIN . Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow[J]. Applied Mathematics and Mechanics, 2017 , 38(8) : 1159 -1170 . DOI: 10.1007/s10483-017-2226-9
[1] Bechert, D. W., Bruse, M., Hage, W., van der Hoeven, J. G. T., and Hoppe, G. Experiments on drag-reducing surfaces and their optimization with an adjustable geometry. Journal of Fluid Mechanics, 338, 59-87(1997)
[2] Garcia-Mayoral, R. and Jiménez, J. Hydrodynamic stability and breakdown of the viscous regime over riblets. Journal of Fluid Mechanics, 678, 317-347(2011)
[3] Viswanath, P. R. Aircraft viscous drag reduction using riblets. Progress in Aerospace Sciences, 38(6), 571-600(2002)
[4] Aljallis, E., Sarshar, M. A., Datla, R., Sikka, V., Jones, A., and Choi, C. H. Experimental study of skin friction drag reduction on super hydrophobic flat plates in high Reynolds number boundary layer flow. Physics of Fluids, 25(2), 025103(2013)
[5] Rothstein, J. P. Slip on superhydrophobic surfaces. Annual Review of Fluid Mechanics, 42(1), 89-109(2010)
[6] Rastegari, A. and Akhavan, R. On the mechanism of turbulent drag reduction with superhydrophobic surfaces. Journal of Fluid Mechanics, 773, R4(2015)
[7] Luo, Y., Wang, L., Lork, G., Song, K., Wang, L., and Robert, S. Advances of drag-reducing surface technologies in turbulence based on boundary layer control. Journal of Hydrodynamics, 27(4), 473-487(2015)
[8] Quadrio, M. and Ricco, P. Critical assessment of turbulent drag reduction through spanwise wall oscillations. Journal of Fluid Mechanics, 521(12), 251-271(2004)
[9] Yakeno, A., Hasegawa, Y., and Kasagi, N. Modification of quasi-streamwise vortical structure in a drag-reduced turbulent channel flow with spanwise wall oscillation. Physics of Fluids, 26(8), 085109(2014)
[10] Agostini, L., Touber, E., and Leschziner, M. A. Spanwise oscillatory wall motion in channel flow:drag-reduction mechanisms inferred from DNS-predicted phase-wise property variations at Reτ=1000. Journal of Fluid Mechanics, 743, 606-635(2014)
[11] Blesbois, O. and Chernyshenko, S. I. Pattern prediction by linear analysis of turbulent flow with drag reduction by wall oscillation. Journal of Fluid Mechanics, 724(2), 607-641(2013)
[12] Jung, W. J., Mangiavacchi, N., and Akhavan, R. Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations. Physics of Fluids, 4(8), 1605-1607(1992)
[13] Laadhari, F., Skandaji, L., and Morel, R. Turbulence reduction in a boundary layer by a local spanwise oscillating surface. Physics of Fluids, 6(10), 3218-3220(1994)
[14] Choi, K. S., Debisschop, J. R., and Clayton, B. R. Turbulent boundary-Layer control by means of spanwise-wall oscillation. AIAA Journal, 36(7), 1157-1163(1998)
[15] Quadrio, M. and Sibilla, S. Numerical simulation of turbulent flow in a pipe oscillating around its axis. Journal of Fluid Mechanics, 424(14), 217-241(2000)
[16] Choi, K. S. and Graham, M. Drag reduction of turbulent pipe flows by circular-wall oscillation. Physics of Fluids, 10(1), 7-9(1998)
[17] Xu, C. X. and Huang, W. X. Transient response of Reynolds stress transport to spanwise wall oscillation in a turbulent channel flow. Physics of Fluids, 17(1), 018101(2005)
[18] Quadrio, M. and Ricco, P. Initial response of a turbulent channel flow to spanwise oscillation of the walls. Journal of Turbulence, 4(7), 1-23(2003)
[19] Ricco, P., Ottonelli, C., Hasegawa, Y., and Quadrio, M. Changes in turbulent dissipation in a channel flow with oscillating walls. Journal of Fluid Mechanics, 700, 77-104(2012)
[20] Xu, C., Zhang, Z., Toonder, J. M. J. D., and Nieuwstadt, F. T. M. Origin of high kurtosis levels in the viscous sublayer, direct numerical simulation and experiment. Physics of Fluids, 8(7), 1938-1944(1996)
[21] Ge, M., Xu, C., and Cui, G. Direct numerical simulation of flow in channel with time-dependent wall geometry. Applied Mathematics and Mechanics (English Edition), 31(1), 97-108(2010) DOI 10.1007/s10483-010-0110-x
[22] Touber, E. and Leschziner, M. A. Near-wall streak modification by spanwise oscillatory wall motion and drag-reduction mechanisms. Journal of Fluid Mechanics, 693(2), 150-200(2012)
[23] Kasagi, N., Hasegawa, Y., and Fukagata, K. Toward cost-effective control of wall turbulence for skin friction drag reduction. Advances in Turbulence, 52(1), 189-200(2009)
[24] Ricco, P. and Wu, S. On the effects of lateral wall oscillations on a turbulent boundary layer. Experimental Thermal and Fluid Science, 29(1), 41-52(2004)
[25] Choi, J. I., Xu, C. X., and Sung, H. J. Drag reduction by spanwise wall oscillation in wall-bounded turbulent flows. AIAA Journal, 40(5), 842-850(2002)
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