×

zbMATH — the first resource for mathematics

A study on boundary-layer transition induced by free-stream turbulence. (English) Zbl 1205.76019
Summary: Boundary-layer transition at different free-stream turbulence levels has been investigated using the particle-image velocimetry technique. The measurements show organized positive and negative fluctuations of the streamwise fluctuating velocity component, which resemble the forward and backward jet-like structures reported in the direct numerical simulation of bypass transition. These fluctuations are associated with unsteady streaky structures. Large inclined high shear-layer regions are also observed and the organized negative fluctuations are found to appear consistently with these inclined shear layers, along with highly inflectional instantaneous streamwise velocity profiles. These inflectional velocity profiles are similar to those in the ribbon-induced boundary-layer transition. An oscillating-inclined shear layer appears to be the turbulent spot-precursor. The measurements also enabled to compare the actual turbulent spot in bypass transition with the simulated one. A proper orthogonal decomposition analysis of the fluctuating velocity field is carried out. The dominant flow structures of the organized positive and negative fluctuations are captured by the first few eigenfunction modes carrying most of the fluctuating energy. The similarity in the dominant eigenfunctions at different Reynolds numbers suggests that the flow prevails its structural identity even in intermittent flows. This analysis also indicates the possibility of the existence of a spatio-temporal symmetry associated with a travelling wave in the flow.

MSC:
76-05 Experimental work for problems pertaining to fluid mechanics
76F06 Transition to turbulence
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.1017/S0022112003004439 · Zbl 1103.76025 · doi:10.1017/S0022112003004439
[2] DOI: 10.1017/S0022112094003083 · doi:10.1017/S0022112094003083
[3] DOI: 10.1007/s003480000224 · doi:10.1007/s003480000224
[4] DOI: 10.1017/S0022112003005226 · Zbl 1063.76508 · doi:10.1017/S0022112003005226
[5] DOI: 10.1007/BF02429855 · Zbl 0884.58071 · doi:10.1007/BF02429855
[6] Tennekes, A First Course in Turbulence (1997)
[7] DOI: 10.1017/S0022112001007431 · doi:10.1017/S0022112001007431
[8] Kostas, Exp. Fluids 33 pp 838– (2002) · doi:10.1007/s00348-002-0521-9
[9] Taylor, Proceedings of Fifth International Congress for Applied Mechanics pp 294– (1939)
[10] DOI: 10.1017/S0022112062000014 · Zbl 0131.41901 · doi:10.1017/S0022112062000014
[11] Sirovich, Q. Appl. Math. 45 pp 561– (1987)
[12] DOI: 10.1017/S0022112000002421 · Zbl 0983.76025 · doi:10.1017/S0022112000002421
[13] Klebanoff, Bull. Am. Phys. Soc. 10 pp 1323– (1971)
[14] DOI: 10.1063/1.868804 · Zbl 1023.76556 · doi:10.1063/1.868804
[15] DOI: 10.1063/1.869908 · Zbl 1147.76308 · doi:10.1063/1.869908
[16] Kendall, Boundary Layer Stability and Transition to Turbulence pp 23– (1991)
[17] DOI: 10.1063/1.3005836 · Zbl 1182.76669 · doi:10.1063/1.3005836
[18] DOI: 10.1017/S0022112000001580 · Zbl 0959.76503 · doi:10.1017/S0022112000001580
[19] Roach, ERCOFTAC Workshop: Numerical Simulation of Unsteady Flows and Transition to Turbulence, Lausanne pp 319– (1992)
[20] DOI: 10.1007/s003489900087 · doi:10.1007/s003489900087
[21] DOI: 10.1017/S0022112095003284 · Zbl 0850.76392 · doi:10.1017/S0022112095003284
[22] DOI: 10.1017/S0022112094003551 · doi:10.1017/S0022112094003551
[23] DOI: 10.1017/S0022112000002469 · Zbl 0983.76027 · doi:10.1017/S0022112000002469
[24] DOI: 10.1007/s00348-002-0551-3 · doi:10.1007/s00348-002-0551-3
[25] DOI: 10.1007/BF00190675 · doi:10.1007/BF00190675
[26] DOI: 10.1017/CBO9780511622700 · doi:10.1017/CBO9780511622700
[27] DOI: 10.1017/S0022112094003228 · Zbl 0800.76190 · doi:10.1017/S0022112094003228
[28] DOI: 10.1017/S0022112007008336 · Zbl 1125.76305 · doi:10.1017/S0022112007008336
[29] DOI: 10.1063/1.1333038 · Zbl 1184.76433 · doi:10.1063/1.1333038
[30] DOI: 10.1017/S0022112006003806 · Zbl 1119.76392 · doi:10.1017/S0022112006003806
[31] Perry, Hot-Wire Anemometry (1982)
[32] DOI: 10.1063/1.1758151 · Zbl 1186.76209 · doi:10.1063/1.1758151
[33] Pedersen, Exps. Fluids 33 pp 940– (2002) · doi:10.1007/s00348-002-0514-8
[34] DOI: 10.1007/s001620050028 · Zbl 0904.76080 · doi:10.1007/s001620050028
[35] Nishioka, Transition and Turbulence pp 113– (1981) · doi:10.1016/B978-0-12-493240-1.50012-0
[36] DOI: 10.1017/S0022112004002770 · Zbl 1142.76303 · doi:10.1017/S0022112004002770
[37] DOI: 10.1007/BF01874418 · doi:10.1007/BF01874418
[38] DOI: 10.1063/1.869962 · Zbl 1147.76382 · doi:10.1063/1.869962
[39] DOI: 10.1007/BF00571859 · doi:10.1007/BF00571859
[40] DOI: 10.1146/annurev.fluid.39.050905.110135 · doi:10.1146/annurev.fluid.39.050905.110135
[41] Morkovin, Viscous Drag Reduction pp 1– (1969) · doi:10.1007/978-1-4899-5579-1_1
[42] Moreno, Phys. Rev. E 69 pp 1– (2004)
[43] Deane, Phys. Fluids 3 pp 2337– (1991) · Zbl 0746.76021 · doi:10.1063/1.857881
[44] DOI: 10.1017/S0022112000002810 · Zbl 0963.76509 · doi:10.1017/S0022112000002810
[45] DOI: 10.1063/1.857730 · doi:10.1063/1.857730
[46] DOI: 10.1063/1.2750684 · Zbl 1182.76490 · doi:10.1063/1.2750684
[47] DOI: 10.1063/1.869686 · doi:10.1063/1.869686
[48] DOI: 10.1007/s00348-005-0040-6 · doi:10.1007/s00348-005-0040-6
[49] DOI: 10.1063/1.858386 · doi:10.1063/1.858386
[50] Mandal, 6th European Fluid Mechanics Conference (2006)
[51] DOI: 10.1017/S0022112004000941 · Zbl 1131.76326 · doi:10.1017/S0022112004000941
[52] DOI: 10.1017/S0022112002002331 · Zbl 1163.76359 · doi:10.1017/S0022112002002331
[53] Lumley, Atmospheric Turbulence and Wave Propagation pp 166– (1967)
[54] DOI: 10.1115/1.2910032 · doi:10.1115/1.2910032
[55] DOI: 10.1017/S0022112099007259 · Zbl 0959.76022 · doi:10.1017/S0022112099007259
[56] DOI: 10.1146/annurev.fl.25.010193.002543 · doi:10.1146/annurev.fl.25.010193.002543
[57] DOI: 10.1007/s00348-006-0129-6 · doi:10.1007/s00348-006-0129-6
[58] Lourenco, Proceedings of the International Conference in Applications of Lasers to Fluid Mechanics (2000)
[59] DOI: 10.1063/1.868169 · doi:10.1063/1.868169
[60] DOI: 10.1017/S0022112005003800 · Zbl 1070.76024 · doi:10.1017/S0022112005003800
[61] DOI: 10.1017/S0022112001005808 · Zbl 1102.76314 · doi:10.1017/S0022112001005808
[62] DOI: 10.1017/S0022112082002961 · doi:10.1017/S0022112082002961
[63] DOI: 10.1017/S0022112088001818 · Zbl 0643.76066 · doi:10.1017/S0022112088001818
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.