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Simultaneous Measurement of Velocity and Fluctuating Pressure in a Turbulent Wing-tip Vortex Using Triple Hot-film Sensor and Miniature Total Pressure Probe

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Abstract

We have developed a probe-system for simultaneous measurement of three velocity components and pressure in turbulent flows. A miniature total pressure probe is placed adjacent to the sensors of a triple hot-film probe in order to achieve the spatial resolution which is equivalent to that of the triple hot-film probe itself. The instantaneous static pressure is calculated from measured velocity and total pressure by means of a newly developed processing method based on the Bernoulli equation for unsteady flows. The measurements were undertaken in a turbulent wing-tip vortex flow. The look-up table method is employed for the calibration of the hot-film probe so accurate velocity data could be obtained over a wide range of the flow-attack angles. It is also demonstrated that the present probe-system is capable of measuring fluctuations in both velocity and pressure in the 20–650 Hz frequency range. The distribution of the fluctuating pressure obtained by this indirect method is in good agreement with the results from direct measurements of static pressure, demonstrating the promising performance of the present method. Furthermore, an improvement in the ability to make measurements of the velocity–pressure correlation across the wing-tip vortex is achieved. This improvement is possible because the effects of lateral velocity components are properly taken into account in the present formulation. The investigation regarding the transport equation budget for turbulent kinetic energy shows an anomalous structure of turbulence in this flow, mainly due to the meandering of the vortex, and the measurement of pressure diffusion is found to play an important role in the characterization of this kind of flow.

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References

  1. Toyoda, K., Okamoto, T., Shirahama, Y.: Eduction of vortical structures by pressure measurements in noncircular jet. Appl. Sci. Res. 53, 237–248 (1994)

    Article  Google Scholar 

  2. Naka, Y., Omori, T., Obi, S., Masuda., S.: Simultaneous measurements of fluctuating velocity and pressure in a turbulent mixing layer. Int. J. Heat Fluid Flow 27, 737–746 (2006)

    Article  Google Scholar 

  3. Tsuji, Y., Fransson, J.H.M., Alfredsson, P.H., Johansson, A.V.: Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers. J. Fluid Mech. 585, 1–40 (2007)

    Article  MATH  Google Scholar 

  4. Naka, Y., Azegami, S., Kawata, T., Fukagata, K., Obi, S.: Simultaneous measurement of velocity and pressure in a wing-tip vortex. J. Fluid Sci. Technol. 4, 107–115

  5. Naka, Y., Obi, S.: Velocity-pressure correlation measurements in complex free shear flows. Int. J. Heat Fluid Flow 30(3), 411–420 (2009)

    Article  Google Scholar 

  6. Naka, Y.: Simultaneous measurement of fluctuating velocity and pressure in turbulent free shear flows. Doctoral thesis, Graduate School of Science and Technology, Keio University, Japan (2009)

  7. Devenport, W.J., Rife, M.C., Liapis, S.I., Follin, G.J.: The structure and development of a wing-tip vortex. J. Fluid Mech. 312, 67–106 (1996)

    Article  MathSciNet  Google Scholar 

  8. Chow, J., Zilliac, G., Bradshaw, P.: Turbulence measurements in the near field of a wingtip vortex. Tech. Rep., NASA Technical Memorandum 110418 (1997)

  9. Craft, T.J., Gerasimov, A.V., Launder, B.E., Robinson, C.M.E.: A computational study of the near-field generation and decay of wingtip vortices. Int. J. Heat Fluid Flow 27, 684–695 (2006)

    Article  Google Scholar 

  10. Heyes, A.I., Jones, R.F., Smith, D.A.: Wandering of wing-tip vortices. In: Proc. 12th Symp. on the Applications of Laser Techniques to Fluid Mechanics, 20 pp (2004)

  11. Yao, Y.F., Thomas, T.G., Sandham, N.D., Williams, J.J.R.: Direct numerical simulation of turbulent flow over a rectangular trailing edge. Theor. Comput. Fluid Dyn. 14, 337–358 (2001)

    Article  MATH  Google Scholar 

  12. Johansson, P.S., Andersson, H.I.: Direct numerical simulation of two oppsing wall jets. Phys. Fluids 17, 055109 (2005)

    Article  Google Scholar 

  13. Ligeza, P., Socha, K.: Optimization of an algorithm for measurements of velocity vector components using a three-wire sensor. Rev. Sci. Instrum. 78, 105104 (2007)

    Article  Google Scholar 

  14. Naguib, A.M., Gravante, S.P., Wark, S.P.: Extraction of turbulent wall-pressure time-series using an optimal filtering scheme. Exp. Fluids 22, 14–22 (1996)

    Article  Google Scholar 

  15. Lumley, J.L.: Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123–176 (1978)

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Shinnosuke Obi.

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Kawata, T., Naka, Y., Fukagata, K. et al. Simultaneous Measurement of Velocity and Fluctuating Pressure in a Turbulent Wing-tip Vortex Using Triple Hot-film Sensor and Miniature Total Pressure Probe. Flow Turbulence Combust 86, 419–437 (2011). https://doi.org/10.1007/s10494-010-9258-3

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  • DOI: https://doi.org/10.1007/s10494-010-9258-3

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