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On the Measurement of Wall-Normal Velocity Derivative in a Turbulent Boundary Layer

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Abstract

The wall-normal velocity derivative of ∂u/∂y is measured in a turbulent boundary layer, down to 2 wall units from the wall, using two parallel hot-wires. The momentum-thickness- and friction-velocity-based Reynolds numbers are 1450 and 584, respectively. The experimental results indicate that ∂u/∂y may be captured with an adequate accuracy given a separation (∆y) of 2 ~ 5 Kolmogorov length scales η between the two parallel hot-wires, slightly different from that (2η ~ 4η) required for a turbulent channel flow. The surrogate \( \overline{{\left(\Delta u/\Delta y\right)}^2} \) for \( \overline{{\left(\partial u/\partial y\right)}^2} \) displays a significant departure in the buffer layer from that in the turbulent channel flow, due to a difference in the large-scale coherent structures between the two flows. The skewness and kurtosis of ∂u/∂y differ markedly from their counterparts in a turbulent channel flow, which reflects a difference in the small-scale turbulent structures of the outer region between the two flows.

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Acknowledgements

YZ wishes to acknowledge support given to him from NSFC through grants 11632006, 91752109 and U1613226 and from Research Grants Council of Shenzhen Government through grants JCYJ20160531193220561 and JCY20160531192108351. SJX wishes to thank the support from “13th five-year plan” equipment development pre-research common technology grants through No. 41407020501.

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Authors and Affiliations

  1. Institute for Turbulence-Noise-Vibration Interaction and Control, Harbin Institute of Technology, Shenzhen, China

    Z. X. Qiao & Y. Zhou

  2. Digital Engineering Laboratory of Offshore Equipment, Shenzhen, China

    Z. X. Qiao & Y. Zhou

  3. AML, School of Aerospace Engineering, Tsinghua University, Beijing, 100084, China

    S. J. Xu

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Correspondence to Y. Zhou.

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Qiao, Z.X., Xu, S.J. & Zhou, Y. On the Measurement of Wall-Normal Velocity Derivative in a Turbulent Boundary Layer. Flow Turbulence Combust 103, 369–387 (2019). https://doi.org/10.1007/s10494-019-00031-1

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