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Unsteadiness of transonic convex-corner flows

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Abstract

An experimental investigation was conducted to study the transonic convex-corner flow in a turbulent boundary layer. The unsteadiness of the interaction was characterized by a local peak pressure fluctuation and the deviation of higher order moments from an effective Gaussian. The peak pressure fluctuations are correlated and compared with results from other studies.

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Abbreviations

C p :

Pressure coefficient (pw−p∞)/q∞

\(C_{{\sigma _{{\text{p}}} }} \) :

Pressure fluctuation coefficient (σp,w−σp,∞)/q∞

M :

Freestream Mach number

p w :

Mean wall pressure

PDF:

Probability density function

q ∞ :

Freestream dynamic pressure

Re :

Reynolds number

U :

Freestream velocity

x :

Coordinate along the surface of the corner

x*:

x/δ

α 3 :

Skewness coefficient \({\overline{{{p}\ifmmode{'}\else$'$\fi^{3} }} } \mathord{\left/ {\vphantom {{\overline{{{p}\ifmmode{'}\else$'$\fi^{3} }} } {\overline{{{\left( {{p}\ifmmode{'}\else$'$\fi^{2} } \right)}^{{3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2}} }} }}} \right. \kern-\nulldelimiterspace} {\overline{{{\left( {{p}\ifmmode{'}\else$'$\fi^{2} } \right)}^{{3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2}} }} } \)

α 4 :

Flatness coefficient \({\overline{{{p}\ifmmode{'}\else$'$\fi^{4} }} } \mathord{\left/ {\vphantom {{\overline{{{p}\ifmmode{'}\else$'$\fi^{4} }} } {\overline{{{\left( {{p}\ifmmode{'}\else$'$\fi^{2} } \right)}^{2} }} }}} \right. \kern-\nulldelimiterspace} {\overline{{{\left( {{p}\ifmmode{'}\else$'$\fi^{2} } \right)}^{2} }} } \)

η :

Convex-corner angle (°)

δ :

Incoming boundary layer thickness

σ p :

RMS pressure fluctuation

Z :

Standardized variable \({{\left( {p_{{\text{w}}} - \overline{{p_{{\text{w}}} }} } \right)}} \mathord{\left/ {\vphantom {{{\left( {p_{{\text{w}}} - \overline{{p_{{\text{w}}} }} } \right)}} {\sigma _{{\text{p}}} }}} \right. \kern-\nulldelimiterspace} {\sigma _{{\text{p}}} } \)

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Acknowledgements

This research was conducted with the support of the National Science Council, Taiwan, Republic of China (NSC 91-2212-E-006-043). The author would also like to acknowledge the assistance of the technical staff at ASTRC/NCKU. The author also thanks Professor Frank K. Lu of the University of Texas at Arlington for his many helpful comments with the manuscript.

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Authors and Affiliations

  1. Aerospace Science and Technology Research Center (ASTRC), National Cheng Kung University (NCKU), 711, Tainan, Taiwan, Republic of China

    Kung-Ming Chung

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Correspondence to Kung-Ming Chung.

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Chung, KM. Unsteadiness of transonic convex-corner flows. Exp Fluids 37, 917–922 (2004). https://doi.org/10.1007/s00348-004-0890-3

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