zbMATH — the first resource for mathematics

On the origin of streamwise vortices in a turbulent boundary layer. (English) Zbl 0624.76069
Several experiments have suggested that streamwise vortices, with their accompanying low-momentum streaks in a turbulent boundary layer have a characteristic spanwise wavelength of approximately \(\lambda_ z^+=100\). Here a mechanism is proposed which selects a comparable spanwise wavelength and produces counter-rotating streamwise vortices in a turbulent boundary layer. Examining the equations which describe the deviation of the velocity field from its time-average, it is found that a resonance is associated with the mean-velocity profile. As an integral part of this resonance, there is a mean secondary flow which has a spanwise wavelength \(\lambda^+_ z=90\) and whose velocities exhibit a streamwise vortex structure similar to those observed.

76F99 Turbulence
76M99 Basic methods in fluid mechanics
Full Text: DOI
[1] DOI: 10.1017/S0022112077001402 · doi:10.1017/S0022112077001402
[2] DOI: 10.1017/S0022112067000941 · Zbl 0152.45403 · doi:10.1017/S0022112067000941
[3] DOI: 10.1146/annurev.fl.13.010181.002325 · doi:10.1146/annurev.fl.13.010181.002325
[4] DOI: 10.1017/S0022112076003145 · doi:10.1017/S0022112076003145
[5] DOI: 10.1063/1.864047 · doi:10.1063/1.864047
[6] Benney, Stud. Appl. Math. 64 pp 185– (1981) · Zbl 0481.76048 · doi:10.1002/sapm1981643185
[7] Benney, Stud. Appl. Math. 70 pp 1– (1984) · Zbl 0566.76046 · doi:10.1002/sapm19847011
[8] DOI: 10.1017/S0022112061000196 · Zbl 0096.21201 · doi:10.1017/S0022112061000196
[9] DOI: 10.1017/S0022112075001991 · doi:10.1017/S0022112075001991
[10] DOI: 10.1017/S0022112072000679 · doi:10.1017/S0022112072000679
[11] DOI: 10.1017/S002211207500208X · doi:10.1017/S002211207500208X
[12] DOI: 10.1017/S0022112069002072 · doi:10.1017/S0022112069002072
[13] DOI: 10.1017/S002211207600147X · Zbl 0339.76030 · doi:10.1017/S002211207600147X
[14] Lin, Am. Math. Soc., Proc. Symp. Appl. Math. 13 pp 1– (1962) · doi:10.1090/psapm/013/0137413
[15] DOI: 10.1017/S0022112067000953 · Zbl 0147.46005 · doi:10.1017/S0022112067000953
[16] DOI: 10.1017/S0022112067001740 · doi:10.1017/S0022112067001740
[17] DOI: 10.1017/S0022112062000014 · Zbl 0131.41901 · doi:10.1017/S0022112062000014
[18] DOI: 10.1063/1.864413 · Zbl 0522.76058 · doi:10.1063/1.864413
[19] DOI: 10.1017/S0022112069000395 · doi:10.1017/S0022112069000395
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.