Abo Bibliothek: Guest
Ninth International Symposium on Turbulence and Shear Flow Phenomena
June 30 - July 3, 2015, University of Melbourne, Australia

DOI: 10.1615/TSFP9

MODELLING OF TURBULENT ENERGY FLUX IN CANONICAL SHOCK-TURBULENCE INTERACTION

pages 571-576
DOI: 10.1615/TSFP9.960
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ABSTRAKT

Supersonic and hypersonic flows often encounter high heat loads due to presence of shock waves. The unclosed turbulent energy flux correlation in the mean energy conservation equation significantly affects the heat transfer rate. In conventional RANS models, which are based on gradient diffusion hypothesis, it is modelled in terms of turbulent conductivity and gradient of mean temperature. This modelling approach often overpredicts the value of energy flux in the region of the shock. In the current work, we first apply the conventional and realizable model to predict the turbulent energy flux in canonical shock-turbulence interaction. The shortcomings of these models in predicting the energy flux across the shock are highlighted, and a differential equation model is proposed based on linear theory. The results obtained are compared with available direct numerical simulation data and a good match is found for turbulent energy flux generation across a shock. Finally, for its ease of implementation, an algebraic model is proposed with the aid of linear theory that predicts the turbulent energy flux correctly across the shock for a range of upstream Mach numbers.

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