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Velocity profile reconstruction using orthogonal decomposition

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Abstract

It is illustrated how a one-dimensional, time-dependent form of orthogonal decomposition can be employed to effectively smooth spatial-temporal velocity profile data to remove irregularities introduced during data acquisition, while retaining the dominant profile characteristics. This essential filtering feature of orthogonal decomposition is employed to establish smoothed velocity profile sequences for a turbulent boundary layer flow. Establishment of the dominant eigenmodes (up to the first nine eigenmodes) of the flow as well as the effect of the filtering process on time-mean statistics are illustrated.

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References

  • Bakewell, P.; Lumley, J. L., 1967: Viscous sublayer and adjacent wall region in turbulent pipe flow, Phys. Fluids 10, 1880–1889

    Google Scholar 

  • Bowdler, H.; Martin, R. S.; Reinsch, C., Wilkinson, J. H., 1968: The QR and Ql algorithms for symmetric matrices. Numer. Math. 11, 293–311

    Google Scholar 

  • Herzog, S. 1986: The large-scale structure in the near wall region of turbulent pipe flow. Ph. D. Thesis, Cornell University

  • Loeve, M. 1955: Probability theory, New York: Van Nostrand

    Google Scholar 

  • Lu, L. J.; Smith, C. R., 1985: Image processing of hydrogen bubble flow visualization for determination of turbulence statistics and bursting characteristics. Exp. Fluids 3, 349–356

    Google Scholar 

  • Lu, L. J.; Smith, C. R., 1988: Image processing of hydrogen bubble flow visualization for quantitative evaluation of Hairpin-type vortices as a flow structure of turbulent boundary layers. Report FM-14, Dept. of Mech. Eng. and Mech., Lehigh University

  • Lu, L. J.; Smith, C. R., 1991: Use of quantitative flow visualization data for examination of spatial-temporal velocity and burst-type characteristics in a turbulent boundary layer, in press, J. Fluid Mech

  • Lumley, J. L. 1967: The structure of inhomogeneous turbulent flows. In: Yaglom, A. M. Tatarski, V. I. (ed.) Atmospheric turbulence and radio wave propagation. Moscow: Nauka, 166–178

    Google Scholar 

  • Lumley, J. L. 1970: Stochastic tools in turbulence, New York. Academic Press

    Google Scholar 

  • Moin, P. 1984: Probing turbulence via large-eddy simulation, AIAA Paper 84-0174

  • Moin, P.; Moser, R. D., 1989: Characteristic-eddy decomposition of turbulence in a channel. J. Fluid Mech. 200, 471–509

    Google Scholar 

  • Sirovich, L.; Kirby, M.; Winter, M., 1990: An eigenfunction approach to large scale transitional structures in jet flow. Phys. Fluids A, 2, 127–136

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Mechanical Engineering and Mechanics, Lehigh University, 18015, Bethlehem, PA, USA

    L. J. Lu & C. R. Smith

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  1. L. J. Lu
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  2. C. R. Smith
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Lu, L.J., Smith, C.R. Velocity profile reconstruction using orthogonal decomposition. Experiments in Fluids 11, 247–254 (1991). https://doi.org/10.1007/BF00192751

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  • DOI: https://doi.org/10.1007/BF00192751

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