Periodic Wall Blow/Suction Perturbation Evolution in Turbulent Boundary Layer

Affiliation(s)

Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin, China,.

Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin, China.

Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin, China,.

Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin, China.

ABSTRACT

Time sequence signals of instantaneous longitudinal and normal velocity components at different longitudinal and normal positions in a turbulent boundary layer have been finely measured simultaneously by IFA300 constant temperature anemometer and double-sensor hot-wire probe with sampling resolution higher than the frequency that corresponds to the smallest time scale of Kolmogorov dissipation scale before/after introducing artificial periodic blow/suction perturbation. The period-phase-average technique is applied to extract the periodic waveforms of artificial perturbation from instantaneous time sequence signals of longitudinal and normal turbulence background. Experimental investigation is carried out on the attenuation characteristics of periodic perturbation wave with different frequency along longitudinal direction and normal direction in a turbulent boundary layer. The amplitude distributions of longitudinal and normal disturbing velocity component for different perturbation frequencies are measured at different downstream and normal positions in turbulent boundary layer. The amplitude growth rate of artificial periodic perturbation wave is calculated according to flow instability theory. The experimental results are compared and in consistent with the theoretical and numerical results.

Time sequence signals of instantaneous longitudinal and normal velocity components at different longitudinal and normal positions in a turbulent boundary layer have been finely measured simultaneously by IFA300 constant temperature anemometer and double-sensor hot-wire probe with sampling resolution higher than the frequency that corresponds to the smallest time scale of Kolmogorov dissipation scale before/after introducing artificial periodic blow/suction perturbation. The period-phase-average technique is applied to extract the periodic waveforms of artificial perturbation from instantaneous time sequence signals of longitudinal and normal turbulence background. Experimental investigation is carried out on the attenuation characteristics of periodic perturbation wave with different frequency along longitudinal direction and normal direction in a turbulent boundary layer. The amplitude distributions of longitudinal and normal disturbing velocity component for different perturbation frequencies are measured at different downstream and normal positions in turbulent boundary layer. The amplitude growth rate of artificial periodic perturbation wave is calculated according to flow instability theory. The experimental results are compared and in consistent with the theoretical and numerical results.

KEYWORDS

Artificial Periodic Perturbation; Blow/Suction; Turbulent Boundary Layer; Hot-Wire Anemometry

Artificial Periodic Perturbation; Blow/Suction; Turbulent Boundary Layer; Hot-Wire Anemometry

Cite this paper

G. Hao and N. Jiang, "Periodic Wall Blow/Suction Perturbation Evolution in Turbulent Boundary Layer,"*Applied Mathematics*, Vol. 3 No. 9, 2012, pp. 1036-1043. doi: 10.4236/am.2012.39153.

G. Hao and N. Jiang, "Periodic Wall Blow/Suction Perturbation Evolution in Turbulent Boundary Layer,"

References

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[9] T. S. Luchik and W. G. Tiedermann, “Time Scale and the Structure of Ejections and Bursts in Turbulent Channel Flow,” Journal of Fluid Mechanics, Vol. 174, 1987, pp. 529-577. Hdoi:10.1017/S0022112087000235

[10] W. Shu and N. Tang, “Bursting Frequency in Turbulent Boundary Layers,” Acta Mechanica Sinica, Vol. 4, No. 4, 1988, pp. 291-296. Hdoi:10.1007/BF02486661

[11] A. K. M. F. Hussain and W. C. Reynolds, “The Mechanics of an Organized Wave in Turbulent Shear Flow,” Journal of Fluid Mechanics, 1970, pp. 41-241.

[12] A. K. M. F. Hussain and W. C. Reynolds, “The Mechanics of an Organized Wave in Turbulent Shear Flow. Part 2. Experimental Results,” Journal of Fluid Mechanics, 1972, pp. 54-241.

[13] M. T. Landahl “A Wave-Guide Model for Turbulent Shear Flow,” Journal of Fluid Mechanics, 1967, pp. 29-443.

[14] V. V. Kozlov and M. P. Ramazanav, “Development of Finite-Amplitude Perturbations in Posieuille Flow,” Fluid Dynamics, Vol. 18, No. 1, 1983, pp. 30-33.

[15] The Effect of Organized Wave Perturbations on Coherent Structure in Wall Turbulence,” Acta Mechanica Sinica, Vol. 23, No. 4, 1991, pp. 47-54 (in Chinese).

[16] W. W. Willmarth and C. E. Wooldridge, “Measurements of the Fluctuating Pressure at the Wall beneath a Thick Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 14, 1962, pp. 14-187.

[1] S. J. Kline, W. C. Reynolds, F. H. Schraub and P. W. Runstadler, “The Structure of Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 30, No. 4, 1967, pp. 741-774. Hdoi:10.1017/S0022112067001740

[2] R. F. Blackweleder and R. E. Kaplan, “NATO-AGARD Conference Proceedings No. 93,” Technical Editing & Reproduction Ltd., London, 1972.

[3] G. R. Offen and S. J. Kline, “Combined Dye-Streak and Hydrogen-Bubble Visual Observations of a Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 62, No. 2, 1974, pp. 223-239. Hdoi:10.1017/S0022112074000656

[4] K. Rao Narasimha and M. A. Badri Narayanan, “The Bursting Phenonmena in a Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 48, No. 2, 1971, pp. 339-396. Hdoi:10.1017/S0022112071001605

[5] H. T. Kim, S. J. Kline and W. C. Reynolds, “The Production of Turbulence near a Smooth Wall in a Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 50, No. 1, 1971, pp. 133-160. Hdoi:10.1017/S0022112071002490

[6] J. Laufer and M. A. Badri Narayanan, “Mean Period of the Turbulent Production Mechanism in a Boundary Layer,” Physics of Fluids, Vol. 14, No. 1, 1971, pp. 182-197. Hdoi:10.1063/1.1693271

[7] F. W. Chamber, H. D. Murphy and D. M. McEligot, “Laterally Covering Flow. Part 2, Temporal Wall Shear Stress,” Journal of Fluid Mechanics, 1982, pp. 127-403.

[8] W. W. Willmarth and L. K. Sharma, “Study of Turbulent Structure with Hot Wires Smaller than the Viscous Length,” Journal of Fluid Mechanics, Vol. 142, 1984, pp. 121-149.

[9] T. S. Luchik and W. G. Tiedermann, “Time Scale and the Structure of Ejections and Bursts in Turbulent Channel Flow,” Journal of Fluid Mechanics, Vol. 174, 1987, pp. 529-577. Hdoi:10.1017/S0022112087000235

[10] W. Shu and N. Tang, “Bursting Frequency in Turbulent Boundary Layers,” Acta Mechanica Sinica, Vol. 4, No. 4, 1988, pp. 291-296. Hdoi:10.1007/BF02486661

[11] A. K. M. F. Hussain and W. C. Reynolds, “The Mechanics of an Organized Wave in Turbulent Shear Flow,” Journal of Fluid Mechanics, 1970, pp. 41-241.

[12] A. K. M. F. Hussain and W. C. Reynolds, “The Mechanics of an Organized Wave in Turbulent Shear Flow. Part 2. Experimental Results,” Journal of Fluid Mechanics, 1972, pp. 54-241.

[13] M. T. Landahl “A Wave-Guide Model for Turbulent Shear Flow,” Journal of Fluid Mechanics, 1967, pp. 29-443.

[14] V. V. Kozlov and M. P. Ramazanav, “Development of Finite-Amplitude Perturbations in Posieuille Flow,” Fluid Dynamics, Vol. 18, No. 1, 1983, pp. 30-33.

[15] The Effect of Organized Wave Perturbations on Coherent Structure in Wall Turbulence,” Acta Mechanica Sinica, Vol. 23, No. 4, 1991, pp. 47-54 (in Chinese).

[16] W. W. Willmarth and C. E. Wooldridge, “Measurements of the Fluctuating Pressure at the Wall beneath a Thick Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 14, 1962, pp. 14-187.