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A technique for evaluation of three-dimensional behavior in turbulent boundary layers using computer augmented hydrogen bubble-wire flow visualization

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Abstract

A system is described which allows the recreation of the three-dimensional motion and deformation of a single hydrogen bubble time-line in time and space. By digitally interfacing dualview video sequences of a bubble time-line with a computer-aided display system, the Lagrangian motion of the bubble-line can be displayed in any viewing perspective desired. The u and v velocity history of the bubble-line can be rapidly established and displayed for any spanwise location on the recreated pattern. The application of the system to the study of turbulent boundary layer structure in the near-wall region is demonstrated.

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Abbreviations

\({\text{Re}}\hat \theta \) :

Reynolds number based on momentum thickness u ∞ϕ/v

t+ :

nondimensional time \( \equiv t u^2 {{\hat \tau } \mathord{\left/ {\vphantom {{\hat \tau } v}} \right. \kern-\nulldelimiterspace} v}\)

u τ :

shear velocity \(\sqrt {{{\tau w} \mathord{\left/ {\vphantom {{\tau w} \rho }} \right. \kern-\nulldelimiterspace} \rho }} \)

u :

local streamwise velocity, x-direction

u + :

nondimensional streamwise velocity \( \equiv {{\overline u } \mathord{\left/ {\vphantom {{\overline u } {u_\tau }}} \right. \kern-\nulldelimiterspace} {u_\tau }}\)

v :

local normal velocity, γ-direction

x + :

nondimensional coordinate in streamwise direction \( \equiv {{x u_\tau } \mathord{\left/ {\vphantom {{x u_\tau } v}} \right. \kern-\nulldelimiterspace} v}\)

γ+ :

nondimensional coordinate normal to wall \( \equiv {{y u_\tau } \mathord{\left/ {\vphantom {{y u_\tau } v}} \right. \kern-\nulldelimiterspace} v}\)

γ wire+ :

wire nondimensional location of hydrogen bubble-wire normal to wall

z + :

nondimensional spanwise coordinate \( \equiv {{z u_\tau } \mathord{\left/ {\vphantom {{z u_\tau } v}} \right. \kern-\nulldelimiterspace} v}\)

θ:

momentum thickness \( \equiv \int\limits_{\text{0}}^\delta {\frac{{\bar u}}{{u_\infty }}\left( {{\text{1}} - \frac{{\bar u}}{{u_\infty }}} \right)} {\text{d}}y\)

v :

kinematic viscosity

τ W :

wall shear stress

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Authors and Affiliations

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

    C. R. Smith & R. D. Paxson

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  1. C. R. Smith
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  2. R. D. Paxson
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Smith, C.R., Paxson, R.D. A technique for evaluation of three-dimensional behavior in turbulent boundary layers using computer augmented hydrogen bubble-wire flow visualization. Experiments in Fluids 1, 43–49 (1983). https://doi.org/10.1007/BF00282266

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  • DOI: https://doi.org/10.1007/BF00282266

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